---
_id: '11919'
abstract:
- lang: eng
  text: "Maintaining and updating shortest paths information in a graph is a fundamental
    problem with many applications. As computations on dense graphs can be prohibitively
    expensive, and it is preferable to perform the computations on a sparse skeleton
    of the given graph that roughly preserves the shortest paths information. Spanners
    and emulators serve this purpose. Unfortunately, very little is known about dynamically
    maintaining sparse spanners and emulators as the graph is modified by a sequence
    of edge insertions and deletions. This paper develops fast dynamic algorithms
    for spanner and emulator maintenance and provides evidence from fine-grained complexity
    that these algorithms are tight. For unweighted undirected m-edge n-node graphs
    we obtain the following results.\r\n\r\nUnder the popular OMv conjecture, there
    can be no decremental or incremental algorithm that maintains an n1+o(1) edge
    (purely additive) +nδ-emulator for any δ < 1/2 with arbitrary polynomial preprocessing
    time and total update time m1+o(1). Also, under the Combinatorial k-Clique hypothesis,
    any fully dynamic combinatorial algorithm that maintains an n1+o(1) edge (1 +
    ∊, no(1))-spanner or emulator for small ∊ must either have preprocessing time
    mn1–o(1) or amortized update time m1–o(1). Both of our conditional lower bounds
    are tight.\r\n\r\nAs the above fully dynamic lower bound only applies to combinatorial
    algorithms, we also develop an algebraic spanner algorithm that improves over
    the m1–o(1) update time for dense graphs. For any constant ∊ ∊ (0, 1], there is
    a fully dynamic algorithm with worst-case update time O(n1.529) that whp maintains
    an n1+o(1) edge (1 + ∊, no(1))-spanner.\r\n\r\nOur new algebraic techniques allow
    us to also obtain a new fully dynamic algorithm for All-Pairs Shortest Paths (APSP)
    that can perform both edge updates and can report shortest paths in worst-case
    time O(n1.9), which are correct whp. This is the first path-reporting fully dynamic
    APSP algorithm with a truly subquadratic query time that beats O(n2.5) update
    time. It works against an oblivious adversary.\r\n\r\nFinally, we give two applications
    of our new dynamic spanner algorithms: (1) a fully dynamic (1 + ∊)-approximate
    APSP algorithm with update time O(n1.529) that can report approximate shortest
    paths in n1+o(1) time per query; previous subquadratic update/query algorithms
    could only report the distance, but not obtain the paths; (2) a fully dynamic
    algorithm for near-2-approximate Steiner tree maintenance with both terminal and
    edge updates."
article_processing_charge: No
arxiv: 1
author:
- first_name: Thiago
  full_name: Bergamaschi, Thiago
  last_name: Bergamaschi
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Maximilian Probst
  full_name: Gutenberg, Maximilian Probst
  last_name: Gutenberg
- first_name: Virginia Vassilevska
  full_name: Williams, Virginia Vassilevska
  last_name: Williams
- first_name: Nicole
  full_name: Wein, Nicole
  last_name: Wein
citation:
  ama: 'Bergamaschi T, Henzinger MH, Gutenberg MP, Williams VV, Wein N. New techniques
    and fine-grained hardness for dynamic near-additive spanners. In: <i>32nd Annual
    ACM-SIAM Symposium on Discrete Algorithms</i>. Society for Industrial and Applied
    Mathematics; 2021:1836-1855. doi:<a href="https://doi.org/10.1137/1.9781611976465.110">10.1137/1.9781611976465.110</a>'
  apa: 'Bergamaschi, T., Henzinger, M. H., Gutenberg, M. P., Williams, V. V., &#38;
    Wein, N. (2021). New techniques and fine-grained hardness for dynamic near-additive
    spanners. In <i>32nd Annual ACM-SIAM Symposium on Discrete Algorithms</i> (pp.
    1836–1855). Alexandria, VA, United States: Society for Industrial and Applied
    Mathematics. <a href="https://doi.org/10.1137/1.9781611976465.110">https://doi.org/10.1137/1.9781611976465.110</a>'
  chicago: Bergamaschi, Thiago, Monika H Henzinger, Maximilian Probst Gutenberg, Virginia
    Vassilevska Williams, and Nicole Wein. “New Techniques and Fine-Grained Hardness
    for Dynamic near-Additive Spanners.” In <i>32nd Annual ACM-SIAM Symposium on Discrete
    Algorithms</i>, 1836–55. Society for Industrial and Applied Mathematics, 2021.
    <a href="https://doi.org/10.1137/1.9781611976465.110">https://doi.org/10.1137/1.9781611976465.110</a>.
  ieee: T. Bergamaschi, M. H. Henzinger, M. P. Gutenberg, V. V. Williams, and N. Wein,
    “New techniques and fine-grained hardness for dynamic near-additive spanners,”
    in <i>32nd Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Alexandria, VA,
    United States, 2021, pp. 1836–1855.
  ista: 'Bergamaschi T, Henzinger MH, Gutenberg MP, Williams VV, Wein N. 2021. New
    techniques and fine-grained hardness for dynamic near-additive spanners. 32nd
    Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete
    Algorithms, 1836–1855.'
  mla: Bergamaschi, Thiago, et al. “New Techniques and Fine-Grained Hardness for Dynamic
    near-Additive Spanners.” <i>32nd Annual ACM-SIAM Symposium on Discrete Algorithms</i>,
    Society for Industrial and Applied Mathematics, 2021, pp. 1836–55, doi:<a href="https://doi.org/10.1137/1.9781611976465.110">10.1137/1.9781611976465.110</a>.
  short: T. Bergamaschi, M.H. Henzinger, M.P. Gutenberg, V.V. Williams, N. Wein, in:,
    32nd Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial
    and Applied Mathematics, 2021, pp. 1836–1855.
conference:
  end_date: 2021-01-13
  location: Alexandria, VA, United States
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2021-01-10
date_created: 2022-08-18T07:37:36Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-02-17T11:28:46Z
day: '01'
doi: 10.1137/1.9781611976465.110
extern: '1'
external_id:
  arxiv:
  - '2010.10134'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2010.10134
month: '01'
oa: 1
oa_version: Preprint
page: 1836-1855
publication: 32nd Annual ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
  eisbn:
  - 978-1-61197-646-5
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: New techniques and fine-grained hardness for dynamic near-additive spanners
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '11920'
abstract:
- lang: eng
  text: 'In the dynamic minimum set cover problem, a challenge is to minimize the
    update time while guaranteeing close to the optimal min(O(log n), f) approximation
    factor. (Throughout, m, n, f, and C are parameters denoting the maximum number
    of sets, number of elements, frequency, and the cost range.) In the high-frequency
    range, when f = Ω(log n), this was achieved by a deterministic O(log n)-approximation
    algorithm with O(f log n) amortized update time [Gupta et al. STOC''17]. In the
    low-frequency range, the line of work by Gupta et al. [STOC''17], Abboud et al.
    [STOC''19], and Bhattacharya et al. [ICALP''15, IPCO''17, FOCS''19] led to a deterministic
    (1 + ∊) f-approximation algorithm with O(f log(Cn)/∊2) amortized update time.
    In this paper we improve the latter update time and provide the first bounds that
    subsume (and sometimes improve) the state-of-the-art dynamic vertex cover algorithms.
    We obtain: (1) (1 + ∊) f-approximation ratio in O(f log2(Cn)/∊3) worst-case update
    time: No non-trivial worst-case update time was previously known for dynamic set
    cover. Our bound subsumes and improves by a logarithmic factor the O(log3 n/poly(∊))
    worst-case update time for unweighted dynamic vertex cover (i.e., when f = 2 and
    C = 1) by Bhattacharya et al. [SODA''17]. (2) (1 + ∊) f-approximation ratio in
    O ((f2/∊3) + (f/∊2) log C) amortized update time: This result improves the previous
    O(f log (Cn)/∊2) update time bound for most values of f in the low-frequency range,
    i.e. whenever f = o(log n). It is the first that is independent of m and n. It
    subsumes the constant amortized update time of Bhattacharya and Kulkarni [SODA''19]
    for unweighted dynamic vertex cover (i.e., when f = 2 and C = 1). These results
    are achieved by leveraging the approximate complementary slackness and background
    schedulers techniques. These techniques were used in the local update scheme for
    dynamic vertex cover. Our main technical contribution is to adapt these techniques
    within the global update scheme of Bhattacharya et al. [FOCS''19] for the dynamic
    set cover problem.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Sayan
  full_name: Bhattacharya, Sayan
  last_name: Bhattacharya
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Danupon
  full_name: Nanongkai, Danupon
  last_name: Nanongkai
- first_name: Xiaowei
  full_name: Wu, Xiaowei
  last_name: Wu
citation:
  ama: 'Bhattacharya S, Henzinger MH, Nanongkai D, Wu X. Dynamic set cover: Improved
    amortized and worst-case update time. In: <i>32nd Annual ACM-SIAM Symposium on
    Discrete Algorithms</i>. Society for Industrial and Applied Mathematics; 2021:2537-2549.
    doi:<a href="https://doi.org/10.1137/1.9781611976465.150">10.1137/1.9781611976465.150</a>'
  apa: 'Bhattacharya, S., Henzinger, M. H., Nanongkai, D., &#38; Wu, X. (2021). Dynamic
    set cover: Improved amortized and worst-case update time. In <i>32nd Annual ACM-SIAM
    Symposium on Discrete Algorithms</i> (pp. 2537–2549). Alexandria, VA, United States:
    Society for Industrial and Applied Mathematics. <a href="https://doi.org/10.1137/1.9781611976465.150">https://doi.org/10.1137/1.9781611976465.150</a>'
  chicago: 'Bhattacharya, Sayan, Monika H Henzinger, Danupon Nanongkai, and Xiaowei
    Wu. “Dynamic Set Cover: Improved Amortized and Worst-Case Update Time.” In <i>32nd
    Annual ACM-SIAM Symposium on Discrete Algorithms</i>, 2537–49. Society for Industrial
    and Applied Mathematics, 2021. <a href="https://doi.org/10.1137/1.9781611976465.150">https://doi.org/10.1137/1.9781611976465.150</a>.'
  ieee: 'S. Bhattacharya, M. H. Henzinger, D. Nanongkai, and X. Wu, “Dynamic set cover:
    Improved amortized and worst-case update time,” in <i>32nd Annual ACM-SIAM Symposium
    on Discrete Algorithms</i>, Alexandria, VA, United States, 2021, pp. 2537–2549.'
  ista: 'Bhattacharya S, Henzinger MH, Nanongkai D, Wu X. 2021. Dynamic set cover:
    Improved amortized and worst-case update time. 32nd Annual ACM-SIAM Symposium
    on Discrete Algorithms. SODA: Symposium on Discrete Algorithms, 2537–2549.'
  mla: 'Bhattacharya, Sayan, et al. “Dynamic Set Cover: Improved Amortized and Worst-Case
    Update Time.” <i>32nd Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Society
    for Industrial and Applied Mathematics, 2021, pp. 2537–49, doi:<a href="https://doi.org/10.1137/1.9781611976465.150">10.1137/1.9781611976465.150</a>.'
  short: S. Bhattacharya, M.H. Henzinger, D. Nanongkai, X. Wu, in:, 32nd Annual ACM-SIAM
    Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics,
    2021, pp. 2537–2549.
conference:
  end_date: 2021-01-13
  location: Alexandria, VA, United States
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2021-01-10
date_created: 2022-08-18T07:46:54Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-02-17T11:31:22Z
day: '01'
doi: 10.1137/1.9781611976465.150
extern: '1'
external_id:
  arxiv:
  - '2002.11171'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2002.11171
month: '01'
oa: 1
oa_version: Preprint
page: 2537-2549
publication: 32nd Annual ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
  eisbn:
  - 978-1-61197-646-5
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Dynamic set cover: Improved amortized and worst-case update time'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '11923'
abstract:
- lang: eng
  text: "We consider the following online optimization problem. We are given a graph
    G and each vertex of the graph is assigned to one of ℓ servers, where servers
    have capacity k and we assume that the graph has ℓ · k vertices. Initially, G
    does not contain any edges and then the edges of G are revealed one-by-one. The
    goal is to design an online algorithm ONL, which always places the connected components
    induced by the revealed edges on the same server and never exceeds the server
    capacities by more than ∊k for constant ∊ > 0. Whenever ONL learns about a new
    edge, the algorithm is allowed to move vertices from one server to another. Its
    objective is to minimize the number of vertex moves. More specifically, ONL should
    minimize the competitive ratio: the total cost ONL incurs compared to an optimal
    offline algorithm OPT.\r\n\r\nThe problem was recently introduced by Henzinger
    et al. (SIGMETRICS'2019) and is related to classic online problems such as online
    paging and scheduling. It finds applications in the context of resource allocation
    in the cloud and for optimizing distributed data structures such as union–find
    data structures.\r\n\r\nOur main contribution is a polynomial-time randomized
    algorithm, that is asymptotically optimal: we derive an upper bound of O(log ℓ
    + log k) on its competitive ratio and show that no randomized online algorithm
    can achieve a competitive ratio of less than Ω(log ℓ + log k). We also settle
    the open problem of the achievable competitive ratio by deterministic online algorithms,
    by deriving a competitive ratio of Θ(ℓ log k); to this end, we present an improved
    lower bound as well as a deterministic polynomial-time online algorithm.\r\n\r\nOur
    algorithms rely on a novel technique which combines efficient integer programming
    with a combinatorial approach for maintaining ILP solutions. More precisely, we
    use an ILP to assign the connected components induced by the revealed edges to
    the servers; this is similar to existing approximation schemes for scheduling
    algorithms. However, we cannot obtain our competitive ratios if we run the ILP
    after each edge insertion. Instead, we identify certain types of edge insertions,
    after which we can manually obtain an optimal ILP solution at zero cost without
    resolving the ILP. We believe this technique is of independent interest and will
    find further applications in the future."
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Stefan
  full_name: Neumann, Stefan
  last_name: Neumann
- first_name: Harald
  full_name: Räcke, Harald
  last_name: Räcke
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
citation:
  ama: 'Henzinger MH, Neumann S, Räcke H, Schmid S. Tight bounds for online graph
    partitioning. In: <i>32nd Annual ACM-SIAM Symposium on Discrete Algorithms</i>.
    Society for Industrial and Applied Mathematics; 2021:2799-2818. doi:<a href="https://doi.org/10.1137/1.9781611976465.166">10.1137/1.9781611976465.166</a>'
  apa: 'Henzinger, M. H., Neumann, S., Räcke, H., &#38; Schmid, S. (2021). Tight bounds
    for online graph partitioning. In <i>32nd Annual ACM-SIAM Symposium on Discrete
    Algorithms</i> (pp. 2799–2818). Alexandria, VA, United States: Society for Industrial
    and Applied Mathematics. <a href="https://doi.org/10.1137/1.9781611976465.166">https://doi.org/10.1137/1.9781611976465.166</a>'
  chicago: Henzinger, Monika H, Stefan Neumann, Harald Räcke, and Stefan Schmid. “Tight
    Bounds for Online Graph Partitioning.” In <i>32nd Annual ACM-SIAM Symposium on
    Discrete Algorithms</i>, 2799–2818. Society for Industrial and Applied Mathematics,
    2021. <a href="https://doi.org/10.1137/1.9781611976465.166">https://doi.org/10.1137/1.9781611976465.166</a>.
  ieee: M. H. Henzinger, S. Neumann, H. Räcke, and S. Schmid, “Tight bounds for online
    graph partitioning,” in <i>32nd Annual ACM-SIAM Symposium on Discrete Algorithms</i>,
    Alexandria, VA, United States, 2021, pp. 2799–2818.
  ista: 'Henzinger MH, Neumann S, Räcke H, Schmid S. 2021. Tight bounds for online
    graph partitioning. 32nd Annual ACM-SIAM Symposium on Discrete Algorithms. SODA:
    Symposium on Discrete Algorithms, 2799–2818.'
  mla: Henzinger, Monika H., et al. “Tight Bounds for Online Graph Partitioning.”
    <i>32nd Annual ACM-SIAM Symposium on Discrete Algorithms</i>, Society for Industrial
    and Applied Mathematics, 2021, pp. 2799–818, doi:<a href="https://doi.org/10.1137/1.9781611976465.166">10.1137/1.9781611976465.166</a>.
  short: M.H. Henzinger, S. Neumann, H. Räcke, S. Schmid, in:, 32nd Annual ACM-SIAM
    Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics,
    2021, pp. 2799–2818.
conference:
  end_date: 2021-01-13
  location: Alexandria, VA, United States
  name: 'SODA: Symposium on Discrete Algorithms'
  start_date: 2021-01-10
date_created: 2022-08-18T10:31:58Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-02-17T11:32:38Z
day: '01'
doi: 10.1137/1.9781611976465.166
extern: '1'
external_id:
  arxiv:
  - '2011.01017'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/2011.01017
month: '01'
oa: 1
oa_version: Preprint
page: 2799-2818
publication: 32nd Annual ACM-SIAM Symposium on Discrete Algorithms
publication_identifier:
  eisbn:
  - 978-161197646-5
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tight bounds for online graph partitioning
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '11931'
abstract:
- lang: eng
  text: Clustering is one of the most fundamental problems in unsupervised learning
    with a large number of applications. However, classical clustering algorithms
    assume that the data is static, thus failing to capture many real-world applications
    where data is constantly changing and evolving. Driven by this, we study the metric
    k-center clustering problem in the fully dynamic setting, where the goal is to
    efficiently maintain a clustering while supporting an intermixed sequence of insertions
    and deletions of points. This model also supports queries of the form (1) report
    whether a given point is a center or (2) determine the cluster a point is assigned
    to. We present a deterministic dynamic algorithm for the k-center clustering problem
    that provably achieves a (2 + ∊)-approximation in nearly logarithmic update and
    query time, if the underlying metric has bounded doubling dimension, its aspect
    ratio is bounded by a polynomial and ∊ is a constant. An important feature of
    our algorithm is that the update and query times are independent of k. We confirm
    the practical relevance of this feature via an extensive experimental study which
    shows that for large values of k, our algorithmic construction outperforms the
    state-of-the-art algorithm in terms of solution quality and running time.
article_processing_charge: No
author:
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Dariusz
  full_name: Leniowski, Dariusz
  last_name: Leniowski
- first_name: Christian
  full_name: Schulz, Christian
  last_name: Schulz
- first_name: Alexander
  full_name: Svozil, Alexander
  last_name: Svozil
citation:
  ama: 'Goranci G, Henzinger MH, Leniowski D, Schulz C, Svozil A. Fully dynamic k-center
    clustering in low dimensional metrics. In: <i>2021 Proceedings of the Workshop
    on Algorithm Engineering and Experiments</i>. Society for Industrial and Applied
    Mathematics; 2021:143-153. doi:<a href="https://doi.org/10.1137/1.9781611976472.11">10.1137/1.9781611976472.11</a>'
  apa: 'Goranci, G., Henzinger, M. H., Leniowski, D., Schulz, C., &#38; Svozil, A.
    (2021). Fully dynamic k-center clustering in low dimensional metrics. In <i>2021
    Proceedings of the Workshop on Algorithm Engineering and Experiments</i> (pp.
    143–153). Alexandria, VA, United States: Society for Industrial and Applied Mathematics.
    <a href="https://doi.org/10.1137/1.9781611976472.11">https://doi.org/10.1137/1.9781611976472.11</a>'
  chicago: Goranci, Gramoz, Monika H Henzinger, Dariusz Leniowski, Christian Schulz,
    and Alexander Svozil. “Fully Dynamic K-Center Clustering in Low Dimensional Metrics.”
    In <i>2021 Proceedings of the Workshop on Algorithm Engineering and Experiments</i>,
    143–53. Society for Industrial and Applied Mathematics, 2021. <a href="https://doi.org/10.1137/1.9781611976472.11">https://doi.org/10.1137/1.9781611976472.11</a>.
  ieee: G. Goranci, M. H. Henzinger, D. Leniowski, C. Schulz, and A. Svozil, “Fully
    dynamic k-center clustering in low dimensional metrics,” in <i>2021 Proceedings
    of the Workshop on Algorithm Engineering and Experiments</i>, Alexandria, VA,
    United States, 2021, pp. 143–153.
  ista: 'Goranci G, Henzinger MH, Leniowski D, Schulz C, Svozil A. 2021. Fully dynamic
    k-center clustering in low dimensional metrics. 2021 Proceedings of the Workshop
    on Algorithm Engineering and Experiments. ALENEX: Symposium on Algorithm Engineering
    and Experiments, 143–153.'
  mla: Goranci, Gramoz, et al. “Fully Dynamic K-Center Clustering in Low Dimensional
    Metrics.” <i>2021 Proceedings of the Workshop on Algorithm Engineering and Experiments</i>,
    Society for Industrial and Applied Mathematics, 2021, pp. 143–53, doi:<a href="https://doi.org/10.1137/1.9781611976472.11">10.1137/1.9781611976472.11</a>.
  short: G. Goranci, M.H. Henzinger, D. Leniowski, C. Schulz, A. Svozil, in:, 2021
    Proceedings of the Workshop on Algorithm Engineering and Experiments, Society
    for Industrial and Applied Mathematics, 2021, pp. 143–153.
conference:
  end_date: 2021-01-11
  location: Alexandria, VA, United States
  name: 'ALENEX: Symposium on Algorithm Engineering and Experiments'
  start_date: 2021-01-10
date_created: 2022-08-19T07:33:37Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2023-02-17T13:58:51Z
day: '01'
doi: 10.1137/1.9781611976472.11
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1137/1.9781611976472.11
month: '01'
oa: 1
oa_version: Published Version
page: 143 -153
publication: 2021 Proceedings of the Workshop on Algorithm Engineering and Experiments
publication_identifier:
  eisbn:
  - 978-1-61197-647-2
  issn:
  - 2164-0300
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fully dynamic k-center clustering in low dimensional metrics
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '11956'
abstract:
- lang: eng
  text: Controlling the selectivity of a chemical reaction with external stimuli is
    common in thermal processes, but rare in visible-light photocatalysis. Here we
    show that the redox potential of a carbon nitride photocatalyst (CN-OA-m) can
    be tuned by changing the irradiation wavelength to generate electron holes with
    different oxidation potentials. This tuning was the key to realizing photo-chemo-enzymatic
    cascades that give either the (S)- or the (R)-enantiomer of phenylethanol. In
    combination with an unspecific peroxygenase from Agrocybe aegerita, green light
    irradiation of CN-OA-m led to the enantioselective hydroxylation of ethylbenzene
    to (R)-1-phenylethanol (99 % ee). In contrast, blue light irradiation triggered
    the photocatalytic oxidation of ethylbenzene to acetophenone, which in turn was
    enantioselectively reduced with an alcohol dehydrogenase from Rhodococcus ruber
    to form (S)-1-phenylethanol (93 % ee).
article_processing_charge: No
article_type: original
author:
- first_name: Luca
  full_name: Schmermund, Luca
  last_name: Schmermund
- first_name: Susanne
  full_name: Reischauer, Susanne
  last_name: Reischauer
- first_name: Sarah
  full_name: Bierbaumer, Sarah
  last_name: Bierbaumer
- first_name: Christoph K.
  full_name: Winkler, Christoph K.
  last_name: Winkler
- first_name: Alba
  full_name: Diaz‐Rodriguez, Alba
  last_name: Diaz‐Rodriguez
- first_name: Lee J.
  full_name: Edwards, Lee J.
  last_name: Edwards
- first_name: Selin
  full_name: Kara, Selin
  last_name: Kara
- first_name: Tamara
  full_name: Mielke, Tamara
  last_name: Mielke
- first_name: Jared
  full_name: Cartwright, Jared
  last_name: Cartwright
- first_name: Gideon
  full_name: Grogan, Gideon
  last_name: Grogan
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
- first_name: Wolfgang
  full_name: Kroutil, Wolfgang
  last_name: Kroutil
citation:
  ama: Schmermund L, Reischauer S, Bierbaumer S, et al. Chromoselective photocatalysis
    enables stereocomplementary biocatalytic pathways. <i>Angewandte Chemie International
    Edition</i>. 2021;60(13):6965-6969. doi:<a href="https://doi.org/10.1002/anie.202100164">10.1002/anie.202100164</a>
  apa: Schmermund, L., Reischauer, S., Bierbaumer, S., Winkler, C. K., Diaz‐Rodriguez,
    A., Edwards, L. J., … Kroutil, W. (2021). Chromoselective photocatalysis enables
    stereocomplementary biocatalytic pathways. <i>Angewandte Chemie International
    Edition</i>. Wiley. <a href="https://doi.org/10.1002/anie.202100164">https://doi.org/10.1002/anie.202100164</a>
  chicago: Schmermund, Luca, Susanne Reischauer, Sarah Bierbaumer, Christoph K. Winkler,
    Alba Diaz‐Rodriguez, Lee J. Edwards, Selin Kara, et al. “Chromoselective Photocatalysis
    Enables Stereocomplementary Biocatalytic Pathways.” <i>Angewandte Chemie International
    Edition</i>. Wiley, 2021. <a href="https://doi.org/10.1002/anie.202100164">https://doi.org/10.1002/anie.202100164</a>.
  ieee: L. Schmermund <i>et al.</i>, “Chromoselective photocatalysis enables stereocomplementary
    biocatalytic pathways,” <i>Angewandte Chemie International Edition</i>, vol. 60,
    no. 13. Wiley, pp. 6965–6969, 2021.
  ista: Schmermund L, Reischauer S, Bierbaumer S, Winkler CK, Diaz‐Rodriguez A, Edwards
    LJ, Kara S, Mielke T, Cartwright J, Grogan G, Pieber B, Kroutil W. 2021. Chromoselective
    photocatalysis enables stereocomplementary biocatalytic pathways. Angewandte Chemie
    International Edition. 60(13), 6965–6969.
  mla: Schmermund, Luca, et al. “Chromoselective Photocatalysis Enables Stereocomplementary
    Biocatalytic Pathways.” <i>Angewandte Chemie International Edition</i>, vol. 60,
    no. 13, Wiley, 2021, pp. 6965–69, doi:<a href="https://doi.org/10.1002/anie.202100164">10.1002/anie.202100164</a>.
  short: L. Schmermund, S. Reischauer, S. Bierbaumer, C.K. Winkler, A. Diaz‐Rodriguez,
    L.J. Edwards, S. Kara, T. Mielke, J. Cartwright, G. Grogan, B. Pieber, W. Kroutil,
    Angewandte Chemie International Edition 60 (2021) 6965–6969.
date_created: 2022-08-24T10:47:16Z
date_published: 2021-03-22T00:00:00Z
date_updated: 2023-02-21T10:09:14Z
day: '22'
doi: 10.1002/anie.202100164
extern: '1'
intvolume: '        60'
issue: '13'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1002/anie.202100164
month: '03'
oa: 1
oa_version: Published Version
page: 6965-6969
publication: Angewandte Chemie International Edition
publication_identifier:
  eissn:
  - 1521-3773
  issn:
  - 1433-7851
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Chromoselective photocatalysis enables stereocomplementary biocatalytic pathways
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 60
year: '2021'
...
---
_id: '11965'
abstract:
- lang: eng
  text: Metallaphotocatalytic cross-coupling reactions are typically carried out by
    combining homogeneous or heterogeneous photocatalysts with a soluble nickel complex.
    Previous attempts to realize recyclable catalytic systems use immobilized iridium
    complexes to harvest light. We present bifunctional materials based on semiconductors
    for metallaphotocatalytic C−S cross-coupling reactions that can be reused without
    losing their catalytic activity. Key to the success is the permanent immobilization
    of a nickel complex on the surface of a heterogeneous semiconductor through phosphonic
    acid anchors. The optimized catalyst harvests a broad range of the visible light
    spectrum and requires a nickel loading of only ∼0.1 mol %.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Susanne
  full_name: Reischauer, Susanne
  last_name: Reischauer
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
citation:
  ama: Reischauer S, Pieber B. Recyclable, bifunctional metallaphotocatalysts for
    C−S cross‐coupling reactions. <i>ChemPhotoChem</i>. 2021;5(8):716-720. doi:<a
    href="https://doi.org/10.1002/cptc.202100062">10.1002/cptc.202100062</a>
  apa: Reischauer, S., &#38; Pieber, B. (2021). Recyclable, bifunctional metallaphotocatalysts
    for C−S cross‐coupling reactions. <i>ChemPhotoChem</i>. Wiley. <a href="https://doi.org/10.1002/cptc.202100062">https://doi.org/10.1002/cptc.202100062</a>
  chicago: Reischauer, Susanne, and Bartholomäus Pieber. “Recyclable, Bifunctional
    Metallaphotocatalysts for C−S Cross‐coupling Reactions.” <i>ChemPhotoChem</i>.
    Wiley, 2021. <a href="https://doi.org/10.1002/cptc.202100062">https://doi.org/10.1002/cptc.202100062</a>.
  ieee: S. Reischauer and B. Pieber, “Recyclable, bifunctional metallaphotocatalysts
    for C−S cross‐coupling reactions,” <i>ChemPhotoChem</i>, vol. 5, no. 8. Wiley,
    pp. 716–720, 2021.
  ista: Reischauer S, Pieber B. 2021. Recyclable, bifunctional metallaphotocatalysts
    for C−S cross‐coupling reactions. ChemPhotoChem. 5(8), 716–720.
  mla: Reischauer, Susanne, and Bartholomäus Pieber. “Recyclable, Bifunctional Metallaphotocatalysts
    for C−S Cross‐coupling Reactions.” <i>ChemPhotoChem</i>, vol. 5, no. 8, Wiley,
    2021, pp. 716–20, doi:<a href="https://doi.org/10.1002/cptc.202100062">10.1002/cptc.202100062</a>.
  short: S. Reischauer, B. Pieber, ChemPhotoChem 5 (2021) 716–720.
date_created: 2022-08-25T08:31:11Z
date_published: 2021-08-01T00:00:00Z
date_updated: 2023-02-21T10:09:37Z
day: '01'
doi: 10.1002/cptc.202100062
extern: '1'
intvolume: '         5'
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1002/cptc.202100062
month: '08'
oa: 1
oa_version: Published Version
page: 716-720
publication: ChemPhotoChem
publication_identifier:
  eissn:
  - 2367-0932
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Recyclable, bifunctional metallaphotocatalysts for C−S cross‐coupling reactions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5
year: '2021'
...
---
_id: '11972'
abstract:
- lang: eng
  text: Carbon dots have been previosly immobilized on titanium dioxide to generate
    photocatalysts for pollutant degradation and water splitting. Here we demonstrate
    that these nanocomposites are valuable photocatalysts for metallaphotocatalytic
    carbon–heteroatom cross-couplings. These sustainable materials show a large applicability,
    high photostability, excellent reusability, and broadly absorb across the visible-light
    spectrum.
article_processing_charge: No
article_type: original
author:
- first_name: Zhouxiang
  full_name: Zhao, Zhouxiang
  last_name: Zhao
- first_name: Susanne
  full_name: Reischauer, Susanne
  last_name: Reischauer
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
- first_name: Martina
  full_name: Delbianco, Martina
  last_name: Delbianco
citation:
  ama: Zhao Z, Reischauer S, Pieber B, Delbianco M. Carbon dot/TiO₂ nanocomposites
    as photocatalysts for metallaphotocatalytic carbon-heteroatom cross-couplings.
    <i>Green Chemistry</i>. 2021;23(12):4524-4530. doi:<a href="https://doi.org/10.1039/d1gc01284c">10.1039/d1gc01284c</a>
  apa: Zhao, Z., Reischauer, S., Pieber, B., &#38; Delbianco, M. (2021). Carbon dot/TiO₂
    nanocomposites as photocatalysts for metallaphotocatalytic carbon-heteroatom cross-couplings.
    <i>Green Chemistry</i>. Royal Society of Chemistry. <a href="https://doi.org/10.1039/d1gc01284c">https://doi.org/10.1039/d1gc01284c</a>
  chicago: Zhao, Zhouxiang, Susanne Reischauer, Bartholomäus Pieber, and Martina Delbianco.
    “Carbon Dot/TiO₂ Nanocomposites as Photocatalysts for Metallaphotocatalytic Carbon-Heteroatom
    Cross-Couplings.” <i>Green Chemistry</i>. Royal Society of Chemistry, 2021. <a
    href="https://doi.org/10.1039/d1gc01284c">https://doi.org/10.1039/d1gc01284c</a>.
  ieee: Z. Zhao, S. Reischauer, B. Pieber, and M. Delbianco, “Carbon dot/TiO₂ nanocomposites
    as photocatalysts for metallaphotocatalytic carbon-heteroatom cross-couplings,”
    <i>Green Chemistry</i>, vol. 23, no. 12. Royal Society of Chemistry, pp. 4524–4530,
    2021.
  ista: Zhao Z, Reischauer S, Pieber B, Delbianco M. 2021. Carbon dot/TiO₂ nanocomposites
    as photocatalysts for metallaphotocatalytic carbon-heteroatom cross-couplings.
    Green Chemistry. 23(12), 4524–4530.
  mla: Zhao, Zhouxiang, et al. “Carbon Dot/TiO₂ Nanocomposites as Photocatalysts for
    Metallaphotocatalytic Carbon-Heteroatom Cross-Couplings.” <i>Green Chemistry</i>,
    vol. 23, no. 12, Royal Society of Chemistry, 2021, pp. 4524–30, doi:<a href="https://doi.org/10.1039/d1gc01284c">10.1039/d1gc01284c</a>.
  short: Z. Zhao, S. Reischauer, B. Pieber, M. Delbianco, Green Chemistry 23 (2021)
    4524–4530.
date_created: 2022-08-25T10:25:46Z
date_published: 2021-06-21T00:00:00Z
date_updated: 2023-02-21T10:09:52Z
day: '21'
doi: 10.1039/d1gc01284c
extern: '1'
intvolume: '        23'
issue: '12'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1039/D1GC01284C
month: '06'
oa: 1
oa_version: Published Version
page: 4524-4530
publication: Green Chemistry
publication_identifier:
  eissn:
  - 1463-9270
  issn:
  - 1463-9262
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
scopus_import: '1'
status: public
title: Carbon dot/TiO₂ nanocomposites as photocatalysts for metallaphotocatalytic
  carbon-heteroatom cross-couplings
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2021'
...
---
_id: '11974'
abstract:
- lang: eng
  text: Visible light photocatalysis has become a powerful tool in organic synthesis
    that uses photons as traceless, sustainable reagents. Most of the activities in
    the field focus on the development of new reactions via common photoredox cycles,
    but recently a number of exciting new concepts and strategies entered less charted
    territories. We survey approaches that enable the use of longer wavelengths and
    show that the wavelength and intensity of photons are import parameters that enable
    tuning of the reactivity of a photocatalyst to control or change the selectivity
    of chemical reactions. In addition, we discuss recent efforts to substitute strong
    reductants, such as elemental lithium and sodium, by light and technological advances
    in the field.
article_number: '102209'
article_processing_charge: No
article_type: review
author:
- first_name: Susanne
  full_name: Reischauer, Susanne
  last_name: Reischauer
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
citation:
  ama: Reischauer S, Pieber B. Emerging concepts in photocatalytic organic synthesis.
    <i>iScience</i>. 2021;24(3). doi:<a href="https://doi.org/10.1016/j.isci.2021.102209">10.1016/j.isci.2021.102209</a>
  apa: Reischauer, S., &#38; Pieber, B. (2021). Emerging concepts in photocatalytic
    organic synthesis. <i>IScience</i>. Elsevier. <a href="https://doi.org/10.1016/j.isci.2021.102209">https://doi.org/10.1016/j.isci.2021.102209</a>
  chicago: Reischauer, Susanne, and Bartholomäus Pieber. “Emerging Concepts in Photocatalytic
    Organic Synthesis.” <i>IScience</i>. Elsevier, 2021. <a href="https://doi.org/10.1016/j.isci.2021.102209">https://doi.org/10.1016/j.isci.2021.102209</a>.
  ieee: S. Reischauer and B. Pieber, “Emerging concepts in photocatalytic organic
    synthesis,” <i>iScience</i>, vol. 24, no. 3. Elsevier, 2021.
  ista: Reischauer S, Pieber B. 2021. Emerging concepts in photocatalytic organic
    synthesis. iScience. 24(3), 102209.
  mla: Reischauer, Susanne, and Bartholomäus Pieber. “Emerging Concepts in Photocatalytic
    Organic Synthesis.” <i>IScience</i>, vol. 24, no. 3, 102209, Elsevier, 2021, doi:<a
    href="https://doi.org/10.1016/j.isci.2021.102209">10.1016/j.isci.2021.102209</a>.
  short: S. Reischauer, B. Pieber, IScience 24 (2021).
date_created: 2022-08-25T10:31:44Z
date_published: 2021-03-19T00:00:00Z
date_updated: 2023-02-21T10:09:57Z
day: '19'
doi: 10.1016/j.isci.2021.102209
extern: '1'
intvolume: '        24'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.isci.2021.102209
month: '03'
oa: 1
oa_version: Published Version
publication: iScience
publication_identifier:
  eissn:
  - 2589-0042
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Emerging concepts in photocatalytic organic synthesis
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2021'
...
---
_id: '11981'
abstract:
- lang: eng
  text: The cleavage of benzyl ethers by catalytic hydrogenolysis or Birch reduction
    suffers from poor functional group compatibility and limits their use as a protecting
    group. The visible-light-mediated debenzylation disclosed here renders benzyl
    ethers temporary protective groups, enabling new orthogonal protection strategies.
    Using 2,3-dichloro-5,6-dicyano-1,4-benzoquinone (DDQ) as a stoichiometric or catalytic
    photooxidant, benzyl ethers can be cleaved in the presence of azides, alkenes,
    and alkynes. The reaction time can be reduced from hours to minutes in continuous
    flow.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Cristian
  full_name: Cavedon, Cristian
  last_name: Cavedon
- first_name: Eric T.
  full_name: Sletten, Eric T.
  last_name: Sletten
- first_name: Amiera
  full_name: Madani, Amiera
  last_name: Madani
- first_name: Olaf
  full_name: Niemeyer, Olaf
  last_name: Niemeyer
- first_name: Peter H.
  full_name: Seeberger, Peter H.
  last_name: Seeberger
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
citation:
  ama: Cavedon C, Sletten ET, Madani A, Niemeyer O, Seeberger PH, Pieber B. Visible-light-mediated
    oxidative debenzylation enables the use of benzyl ethers as temporary protecting
    groups. <i>Organic Letters</i>. 2021;23(2):514-518. doi:<a href="https://doi.org/10.1021/acs.orglett.0c04026">10.1021/acs.orglett.0c04026</a>
  apa: Cavedon, C., Sletten, E. T., Madani, A., Niemeyer, O., Seeberger, P. H., &#38;
    Pieber, B. (2021). Visible-light-mediated oxidative debenzylation enables the
    use of benzyl ethers as temporary protecting groups. <i>Organic Letters</i>. American
    Chemical Society. <a href="https://doi.org/10.1021/acs.orglett.0c04026">https://doi.org/10.1021/acs.orglett.0c04026</a>
  chicago: Cavedon, Cristian, Eric T. Sletten, Amiera Madani, Olaf Niemeyer, Peter
    H. Seeberger, and Bartholomäus Pieber. “Visible-Light-Mediated Oxidative Debenzylation
    Enables the Use of Benzyl Ethers as Temporary Protecting Groups.” <i>Organic Letters</i>.
    American Chemical Society, 2021. <a href="https://doi.org/10.1021/acs.orglett.0c04026">https://doi.org/10.1021/acs.orglett.0c04026</a>.
  ieee: C. Cavedon, E. T. Sletten, A. Madani, O. Niemeyer, P. H. Seeberger, and B.
    Pieber, “Visible-light-mediated oxidative debenzylation enables the use of benzyl
    ethers as temporary protecting groups,” <i>Organic Letters</i>, vol. 23, no. 2.
    American Chemical Society, pp. 514–518, 2021.
  ista: Cavedon C, Sletten ET, Madani A, Niemeyer O, Seeberger PH, Pieber B. 2021.
    Visible-light-mediated oxidative debenzylation enables the use of benzyl ethers
    as temporary protecting groups. Organic Letters. 23(2), 514–518.
  mla: Cavedon, Cristian, et al. “Visible-Light-Mediated Oxidative Debenzylation Enables
    the Use of Benzyl Ethers as Temporary Protecting Groups.” <i>Organic Letters</i>,
    vol. 23, no. 2, American Chemical Society, 2021, pp. 514–18, doi:<a href="https://doi.org/10.1021/acs.orglett.0c04026">10.1021/acs.orglett.0c04026</a>.
  short: C. Cavedon, E.T. Sletten, A. Madani, O. Niemeyer, P.H. Seeberger, B. Pieber,
    Organic Letters 23 (2021) 514–518.
date_created: 2022-08-25T11:13:05Z
date_published: 2021-01-15T00:00:00Z
date_updated: 2023-02-21T10:10:16Z
day: '15'
doi: 10.1021/acs.orglett.0c04026
extern: '1'
external_id:
  pmid:
  - '33400534'
intvolume: '        23'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1021/acs.orglett.0c04026
month: '01'
oa: 1
oa_version: Published Version
page: 514-518
pmid: 1
publication: Organic Letters
publication_identifier:
  eissn:
  - 1523-7052
  issn:
  - 1523-7060
publication_status: published
publisher: American Chemical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Visible-light-mediated oxidative debenzylation enables the use of benzyl ethers
  as temporary protecting groups
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 23
year: '2021'
...
---
_id: '12068'
abstract:
- lang: eng
  text: Metallaphotocatalysis typically requires a photocatalyst to harness the energy
    of visible-light and transfer it to a transition metal catalyst to trigger chemical
    reactions. The most prominent example is the merger of photo- and nickel catalysis
    that unlocked various cross-couplings. However, the high reactivity of excited
    photocatalyst can lead to unwanted side reactions thus limiting this approach.
    Here we show that a bipyridine ligand that is subtly decorated with two carbazole
    groups forms a nickel complex that absorbs visible-light and promotes several
    carbon–heteroatom cross-couplings in the absence of an exogenous photocatalysts.
    The ligand can be polymerized in a simple one-step procedure to afford a porous
    organic polymer that can be used for heterogeneous nickel catalysis in the same
    reactions. The material can be easily recovered and reused multiple times maintaining
    high catalytic activity and selectivity.
article_processing_charge: No
author:
- first_name: Cristian
  full_name: Cavedon, Cristian
  last_name: Cavedon
- first_name: Sebastian
  full_name: Gisbertz, Sebastian
  last_name: Gisbertz
- first_name: Sarah
  full_name: Vogl, Sarah
  last_name: Vogl
- first_name: Noah
  full_name: Richter, Noah
  last_name: Richter
- first_name: Stefanie
  full_name: Schrottke, Stefanie
  last_name: Schrottke
- first_name: Christian
  full_name: Teutloff, Christian
  last_name: Teutloff
- first_name: Peter H.
  full_name: Seeberger, Peter H.
  last_name: Seeberger
- first_name: Arne
  full_name: Thomas, Arne
  last_name: Thomas
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
citation:
  ama: Cavedon C, Gisbertz S, Vogl S, et al. Photocatalyst-free, visible-light-mediated
    nickel catalyzed carbon–heteroatom cross-couplings. doi:<a href="https://doi.org/10.26434/chemrxiv-2021-kt2wr">10.26434/chemrxiv-2021-kt2wr</a>
  apa: Cavedon, C., Gisbertz, S., Vogl, S., Richter, N., Schrottke, S., Teutloff,
    C., … Pieber, B. (n.d.). Photocatalyst-free, visible-light-mediated nickel catalyzed
    carbon–heteroatom cross-couplings. ChemRxiv. <a href="https://doi.org/10.26434/chemrxiv-2021-kt2wr">https://doi.org/10.26434/chemrxiv-2021-kt2wr</a>
  chicago: Cavedon, Cristian, Sebastian Gisbertz, Sarah Vogl, Noah Richter, Stefanie
    Schrottke, Christian Teutloff, Peter H. Seeberger, Arne Thomas, and Bartholomäus
    Pieber. “Photocatalyst-Free, Visible-Light-Mediated Nickel Catalyzed Carbon–Heteroatom
    Cross-Couplings.” ChemRxiv, n.d. <a href="https://doi.org/10.26434/chemrxiv-2021-kt2wr">https://doi.org/10.26434/chemrxiv-2021-kt2wr</a>.
  ieee: C. Cavedon <i>et al.</i>, “Photocatalyst-free, visible-light-mediated nickel
    catalyzed carbon–heteroatom cross-couplings.” ChemRxiv.
  ista: Cavedon C, Gisbertz S, Vogl S, Richter N, Schrottke S, Teutloff C, Seeberger
    PH, Thomas A, Pieber B. Photocatalyst-free, visible-light-mediated nickel catalyzed
    carbon–heteroatom cross-couplings. <a href="https://doi.org/10.26434/chemrxiv-2021-kt2wr">10.26434/chemrxiv-2021-kt2wr</a>.
  mla: Cavedon, Cristian, et al. <i>Photocatalyst-Free, Visible-Light-Mediated Nickel
    Catalyzed Carbon–Heteroatom Cross-Couplings</i>. ChemRxiv, doi:<a href="https://doi.org/10.26434/chemrxiv-2021-kt2wr">10.26434/chemrxiv-2021-kt2wr</a>.
  short: C. Cavedon, S. Gisbertz, S. Vogl, N. Richter, S. Schrottke, C. Teutloff,
    P.H. Seeberger, A. Thomas, B. Pieber, (n.d.).
date_created: 2022-09-08T11:42:02Z
date_published: 2021-08-04T00:00:00Z
date_updated: 2022-09-08T11:44:01Z
day: '04'
doi: 10.26434/chemrxiv-2021-kt2wr
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.26434/chemrxiv-2021-kt2wr
month: '08'
oa: 1
oa_version: Preprint
publication_status: submitted
publisher: ChemRxiv
status: public
title: Photocatalyst-free, visible-light-mediated nickel catalyzed carbon–heteroatom
  cross-couplings
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '12070'
abstract:
- lang: eng
  text: Controlling the selectivity of a chemical reaction with external stimuli is
    common in thermal processes, but rare in visible-light photocatalysis. Here we
    show that the redox potential of a carbon nitride photocatalyst (CN-OA-m) can
    be tuned by changing the irradiation wavelength to generate electron holes with
    different oxidation potentials. This tuning was the key to realizing photo-chemo-enzymatic
    cascades that give either the (S)- or the (R)-enantiomer of phenylethanol. In
    combination with an unspecific peroxygenase from Agrocybe aegerita, green light
    irradiation of CN-OA-m led to the enantioselective hydroxylation of ethylbenzene
    to (R)-1-phenylethanol (99% ee). In contrast, blue light irradiation triggered
    the photocatalytic oxidation of ethylbenzene to acetophenone, which in turn was
    enantioselectively reduced with an alcohol dehydrogenase from Rhodococcus ruber
    to form (S)-1-phenylethanol (93% ee).
article_processing_charge: No
author:
- first_name: Luca
  full_name: Schmermund, Luca
  last_name: Schmermund
- first_name: Susanne
  full_name: Reischauer, Susanne
  last_name: Reischauer
- first_name: Sarah
  full_name: Bierbaumer, Sarah
  last_name: Bierbaumer
- first_name: Christoph
  full_name: Winkler, Christoph
  last_name: Winkler
- first_name: Alba
  full_name: Diaz-Rodriguez, Alba
  last_name: Diaz-Rodriguez
- first_name: Lee J.
  full_name: Edwards, Lee J.
  last_name: Edwards
- first_name: Selin
  full_name: Kara, Selin
  last_name: Kara
- first_name: Tamara
  full_name: Mielke, Tamara
  last_name: Mielke
- first_name: Jared
  full_name: Cartwright, Jared
  last_name: Cartwright
- first_name: Gideon
  full_name: Grogan, Gideon
  last_name: Grogan
- first_name: Bartholomäus
  full_name: Pieber, Bartholomäus
  id: 93e5e5b2-0da6-11ed-8a41-af589a024726
  last_name: Pieber
  orcid: 0000-0001-8689-388X
- first_name: Wolfgang
  full_name: Kroutil, Wolfgang
  last_name: Kroutil
citation:
  ama: Schmermund L, Reischauer S, Bierbaumer S, et al. Switching between enantiomers
    by combining chromoselective photocatalysis and biocatalysis. doi:<a href="https://doi.org/10.26434/chemrxiv.13521527">10.26434/chemrxiv.13521527</a>
  apa: Schmermund, L., Reischauer, S., Bierbaumer, S., Winkler, C., Diaz-Rodriguez,
    A., Edwards, L. J., … Kroutil, W. (n.d.). Switching between enantiomers by combining
    chromoselective photocatalysis and biocatalysis. ChemRxiv. <a href="https://doi.org/10.26434/chemrxiv.13521527">https://doi.org/10.26434/chemrxiv.13521527</a>
  chicago: Schmermund, Luca, Susanne Reischauer, Sarah Bierbaumer, Christoph Winkler,
    Alba Diaz-Rodriguez, Lee J. Edwards, Selin Kara, et al. “Switching between Enantiomers
    by Combining Chromoselective Photocatalysis and Biocatalysis.” ChemRxiv, n.d.
    <a href="https://doi.org/10.26434/chemrxiv.13521527">https://doi.org/10.26434/chemrxiv.13521527</a>.
  ieee: L. Schmermund <i>et al.</i>, “Switching between enantiomers by combining chromoselective
    photocatalysis and biocatalysis.” ChemRxiv.
  ista: Schmermund L, Reischauer S, Bierbaumer S, Winkler C, Diaz-Rodriguez A, Edwards
    LJ, Kara S, Mielke T, Cartwright J, Grogan G, Pieber B, Kroutil W. Switching between
    enantiomers by combining chromoselective photocatalysis and biocatalysis. <a href="https://doi.org/10.26434/chemrxiv.13521527">10.26434/chemrxiv.13521527</a>.
  mla: Schmermund, Luca, et al. <i>Switching between Enantiomers by Combining Chromoselective
    Photocatalysis and Biocatalysis</i>. ChemRxiv, doi:<a href="https://doi.org/10.26434/chemrxiv.13521527">10.26434/chemrxiv.13521527</a>.
  short: L. Schmermund, S. Reischauer, S. Bierbaumer, C. Winkler, A. Diaz-Rodriguez,
    L.J. Edwards, S. Kara, T. Mielke, J. Cartwright, G. Grogan, B. Pieber, W. Kroutil,
    (n.d.).
date_created: 2022-09-08T11:46:45Z
date_published: 2021-01-06T00:00:00Z
date_updated: 2022-09-08T11:49:16Z
day: '06'
doi: 10.26434/chemrxiv.13521527
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.26434/chemrxiv.13521527
month: '01'
oa: 1
oa_version: Preprint
publication_status: submitted
publisher: ChemRxiv
status: public
title: Switching between enantiomers by combining chromoselective photocatalysis and
  biocatalysis
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '12071'
abstract:
- lang: eng
  text: Despite many efforts to rationalize the strongly correlated electronic ground
    states in doped Mott insulators, the nature of the doping-induced insulator-to-metal
    transition is still a subject under intensive investigation. Here, we probe the
    nanoscale electronic structure of the Mott insulator Sr₂IrO₄δ with low-temperature
    scanning tunneling microscopy and find an enhanced local density of states (LDOS)
    inside the Mott gap at the location of individual defects which we interpret as
    defects at apical oxygen sites. A chiral behavior in the topography for those
    defects has been observed. We also visualize the local enhanced conductance arising
    from the overlapping of defect states which induces finite LDOS inside of the
    Mott gap. By combining these findings with the typical spatial extension of isolated
    defects of about 2 nm, our results indicate that the insulator-to-metal transition
    in Sr₂IrO₄−δ could be percolative in nature.
article_number: '023075'
article_processing_charge: No
article_type: original
author:
- first_name: Zhixiang
  full_name: Sun, Zhixiang
  last_name: Sun
- first_name: Jose M.
  full_name: Guevara, Jose M.
  last_name: Guevara
- first_name: Steffen
  full_name: Sykora, Steffen
  last_name: Sykora
- first_name: Ekaterina
  full_name: Paerschke, Ekaterina
  id: 8275014E-6063-11E9-9B7F-6338E6697425
  last_name: Paerschke
  orcid: 0000-0003-0853-8182
- first_name: Kaustuv
  full_name: Manna, Kaustuv
  last_name: Manna
- first_name: Andrey
  full_name: Maljuk, Andrey
  last_name: Maljuk
- first_name: Sabine
  full_name: Wurmehl, Sabine
  last_name: Wurmehl
- first_name: Jeroen
  full_name: van den Brink, Jeroen
  last_name: van den Brink
- first_name: Bernd
  full_name: Büchner, Bernd
  last_name: Büchner
- first_name: Christian
  full_name: Hess, Christian
  last_name: Hess
citation:
  ama: Sun Z, Guevara JM, Sykora S, et al. Evidence for a percolative Mott insulator-metal
    transition in doped Sr₂IrO₄. <i>Physical Review Research</i>. 2021;3(2). doi:<a
    href="https://doi.org/10.1103/physrevresearch.3.023075">10.1103/physrevresearch.3.023075</a>
  apa: Sun, Z., Guevara, J. M., Sykora, S., Paerschke, E., Manna, K., Maljuk, A.,
    … Hess, C. (2021). Evidence for a percolative Mott insulator-metal transition
    in doped Sr₂IrO₄. <i>Physical Review Research</i>. American Physical Society.
    <a href="https://doi.org/10.1103/physrevresearch.3.023075">https://doi.org/10.1103/physrevresearch.3.023075</a>
  chicago: Sun, Zhixiang, Jose M. Guevara, Steffen Sykora, Ekaterina Paerschke, Kaustuv
    Manna, Andrey Maljuk, Sabine Wurmehl, Jeroen van den Brink, Bernd Büchner, and
    Christian Hess. “Evidence for a Percolative Mott Insulator-Metal Transition in
    Doped Sr₂IrO₄.” <i>Physical Review Research</i>. American Physical Society, 2021.
    <a href="https://doi.org/10.1103/physrevresearch.3.023075">https://doi.org/10.1103/physrevresearch.3.023075</a>.
  ieee: Z. Sun <i>et al.</i>, “Evidence for a percolative Mott insulator-metal transition
    in doped Sr₂IrO₄,” <i>Physical Review Research</i>, vol. 3, no. 2. American Physical
    Society, 2021.
  ista: Sun Z, Guevara JM, Sykora S, Paerschke E, Manna K, Maljuk A, Wurmehl S, van
    den Brink J, Büchner B, Hess C. 2021. Evidence for a percolative Mott insulator-metal
    transition in doped Sr₂IrO₄. Physical Review Research. 3(2), 023075.
  mla: Sun, Zhixiang, et al. “Evidence for a Percolative Mott Insulator-Metal Transition
    in Doped Sr₂IrO₄.” <i>Physical Review Research</i>, vol. 3, no. 2, 023075, American
    Physical Society, 2021, doi:<a href="https://doi.org/10.1103/physrevresearch.3.023075">10.1103/physrevresearch.3.023075</a>.
  short: Z. Sun, J.M. Guevara, S. Sykora, E. Paerschke, K. Manna, A. Maljuk, S. Wurmehl,
    J. van den Brink, B. Büchner, C. Hess, Physical Review Research 3 (2021).
date_created: 2022-09-08T15:01:16Z
date_published: 2021-04-27T00:00:00Z
date_updated: 2022-09-09T07:26:01Z
day: '27'
ddc:
- '530'
doi: 10.1103/physrevresearch.3.023075
extern: '1'
file:
- access_level: open_access
  checksum: 73f1331b9716295849e87a7d3acd9323
  content_type: application/pdf
  creator: dernst
  date_created: 2022-09-09T07:23:40Z
  date_updated: 2022-09-09T07:23:40Z
  file_id: '12075'
  file_name: 2021_PhysicalRevResearch_Sun.pdf
  file_size: 4020901
  relation: main_file
  success: 1
file_date_updated: 2022-09-09T07:23:40Z
has_accepted_license: '1'
intvolume: '         3'
issue: '2'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evidence for a percolative Mott insulator-metal transition in doped Sr₂IrO₄
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2021'
...
---
_id: '12076'
abstract:
- lang: eng
  text: We find an asymptotic formula for the number of primitive vectors $(z_1,\ldots,z_4)\in
    (\mathbb{Z}_{\neq 0})^4$ such that $z_1,\ldots, z_4$ are all squareful and bounded
    by $B$, and $z_1+\cdots + z_4 = 0$. Our result agrees in the power of $B$ and
    $\log B$ with the Campana-Manin conjecture of Pieropan, Smeets, Tanimoto and V\'{a}rilly-Alvarado.
article_number: '2104.06966'
article_processing_charge: No
arxiv: 1
author:
- first_name: Alec L
  full_name: Shute, Alec L
  id: 440EB050-F248-11E8-B48F-1D18A9856A87
  last_name: Shute
  orcid: 0000-0002-1812-2810
citation:
  ama: Shute AL. Sums of four squareful numbers. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2104.06966">10.48550/arXiv.2104.06966</a>
  apa: Shute, A. L. (n.d.). Sums of four squareful numbers. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2104.06966">https://doi.org/10.48550/arXiv.2104.06966</a>
  chicago: Shute, Alec L. “Sums of Four Squareful Numbers.” <i>ArXiv</i>, n.d. <a
    href="https://doi.org/10.48550/arXiv.2104.06966">https://doi.org/10.48550/arXiv.2104.06966</a>.
  ieee: A. L. Shute, “Sums of four squareful numbers,” <i>arXiv</i>. .
  ista: Shute AL. Sums of four squareful numbers. arXiv, 2104.06966.
  mla: Shute, Alec L. “Sums of Four Squareful Numbers.” <i>ArXiv</i>, 2104.06966,
    doi:<a href="https://doi.org/10.48550/arXiv.2104.06966">10.48550/arXiv.2104.06966</a>.
  short: A.L. Shute, ArXiv (n.d.).
date_created: 2022-09-09T10:42:51Z
date_published: 2021-04-15T00:00:00Z
date_updated: 2023-02-21T16:37:30Z
day: '15'
department:
- _id: TiBr
doi: 10.48550/arXiv.2104.06966
external_id:
  arxiv:
  - '2104.06966'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2104.06966
month: '04'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '12072'
    relation: dissertation_contains
    status: public
status: public
title: Sums of four squareful numbers
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '12077'
abstract:
- lang: eng
  text: "We compare the Manin-type conjecture for Campana points recently formulated\r\nby
    Pieropan, Smeets, Tanimoto and V\\'{a}rilly-Alvarado with an alternative\r\nprediction
    of Browning and Van Valckenborgh in the special case of the orbifold\r\n$(\\mathbb{P}^1,D)$,
    where $D =\\frac{1}{2}[0]+\\frac{1}{2}[1]+\\frac{1}{2}[\\infty]$. We find that
    the two predicted leading constants do not agree, and we discuss whether thin
    sets\r\ncould explain this discrepancy. Motivated by this, we provide a counterexample\r\nto
    the Manin-type conjecture for Campana points, by considering orbifolds\r\ncorresponding
    to squareful values of binary quadratic forms."
acknowledgement: The author would like to thank Damaris Schindler and Florian Wilsch
  for their helpful comments on the heights and Tamagawa measures used in Section
  3, together with Marta Pieropan, Sho Tanimoto and Sam Streeter for providing valuable
  feedback on an earlier version of this paper, and Tim Browning for many useful comments
  and discussions during the development of this work. The author is also grateful
  to the anonymous referee for providing many valuable comments and suggestions that
  improved the quality of the paper.
article_number: '2104.14946'
article_processing_charge: No
arxiv: 1
author:
- first_name: Alec L
  full_name: Shute, Alec L
  id: 440EB050-F248-11E8-B48F-1D18A9856A87
  last_name: Shute
  orcid: 0000-0002-1812-2810
citation:
  ama: Shute AL. On the leading constant in the Manin-type conjecture for Campana
    points. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2104.14946">10.48550/arXiv.2104.14946</a>
  apa: Shute, A. L. (n.d.). On the leading constant in the Manin-type conjecture for
    Campana points. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2104.14946">https://doi.org/10.48550/arXiv.2104.14946</a>
  chicago: Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for
    Campana Points.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2104.14946">https://doi.org/10.48550/arXiv.2104.14946</a>.
  ieee: A. L. Shute, “On the leading constant in the Manin-type conjecture for Campana
    points,” <i>arXiv</i>. .
  ista: Shute AL. On the leading constant in the Manin-type conjecture for Campana
    points. arXiv, 2104.14946.
  mla: Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana
    Points.” <i>ArXiv</i>, 2104.14946, doi:<a href="https://doi.org/10.48550/arXiv.2104.14946">10.48550/arXiv.2104.14946</a>.
  short: A.L. Shute, ArXiv (n.d.).
date_created: 2022-09-09T10:43:17Z
date_published: 2021-04-30T00:00:00Z
date_updated: 2023-02-21T16:37:30Z
day: '30'
department:
- _id: TiBr
doi: 10.48550/arXiv.2104.14946
external_id:
  arxiv:
  - '2104.14946'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2104.14946
month: '04'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
related_material:
  record:
  - id: '12072'
    relation: dissertation_contains
    status: public
status: public
title: On the leading constant in the Manin-type conjecture for Campana points
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...