@article{7225, abstract = {This is a literature teaching resource review for biologically inspired microfluidics courses or exploring the diverse applications of microfluidics. The structure is around key papers and model organisms. While courses gradually change over time, a focus remains on understanding how microfluidics has developed as well as what it can and cannot do for researchers. As a primary starting point, we cover micro-fluid mechanics principles and microfabrication of devices. A variety of applications are discussed using model prokaryotic and eukaryotic organisms from the set of bacteria (Escherichia coli), trypanosomes (Trypanosoma brucei), yeast (Saccharomyces cerevisiae), slime molds (Physarum polycephalum), worms (Caenorhabditis elegans), flies (Drosophila melangoster), plants (Arabidopsis thaliana), and mouse immune cells (Mus musculus). Other engineering and biochemical methods discussed include biomimetics, organ on a chip, inkjet, droplet microfluidics, biotic games, and diagnostics. While we have not yet reached the end-all lab on a chip, microfluidics can still be used effectively for specific applications.}, author = {Merrin, Jack}, issn = {23065354}, journal = {Bioengineering}, number = {4}, publisher = {MDPI}, title = {{Frontiers in microfluidics, a teaching resource review}}, doi = {10.3390/bioengineering6040109}, volume = {6}, year = {2019}, } @article{7226, author = {Jaksic, Vojkan and Seiringer, Robert}, issn = {00222488}, journal = {Journal of Mathematical Physics}, number = {12}, publisher = {AIP Publishing}, title = {{Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018}}, doi = {10.1063/1.5138135}, volume = {60}, year = {2019}, } @inproceedings{7228, abstract = {Traditional concurrent programming involves manipulating shared mutable state. Alternatives to this programming style are communicating sequential processes (CSP) and actor models, which share data via explicit communication. These models have been known for almost half a century, and have recently had started to gain significant traction among modern programming languages. The common abstraction for communication between several processes is the channel. Although channels are similar to producer-consumer data structures, they have different semantics and support additional operations, such as the select expression. Despite their growing popularity, most known implementations of channels use lock-based data structures and can be rather inefficient. In this paper, we present the first efficient lock-free algorithm for implementing a communication channel for CSP programming. We provide implementations and experimental results in the Kotlin and Go programming languages. Our new algorithm outperforms existing implementations on many workloads, while providing non-blocking progress guarantee. Our design can serve as an example of how to construct general communication data structures for CSP and actor models. }, author = {Koval, Nikita and Alistarh, Dan-Adrian and Elizarov, Roman}, booktitle = {25th Anniversary of Euro-Par}, isbn = {978-3-0302-9399-4}, issn = {1611-3349}, location = {Göttingen, Germany}, pages = {317--333}, publisher = {Springer Nature}, title = {{Scalable FIFO channels for programming via communicating sequential processes}}, doi = {10.1007/978-3-030-29400-7_23}, volume = {11725}, year = {2019}, } @inproceedings{7230, abstract = {Simple drawings of graphs are those in which each pair of edges share at most one point, either a common endpoint or a proper crossing. In this paper we study the problem of extending a simple drawing D(G) of a graph G by inserting a set of edges from the complement of G into D(G) such that the result is a simple drawing. In the context of rectilinear drawings, the problem is trivial. For pseudolinear drawings, the existence of such an extension follows from Levi’s enlargement lemma. In contrast, we prove that deciding if a given set of edges can be inserted into a simple drawing is NP-complete. Moreover, we show that the maximization version of the problem is APX-hard. We also present a polynomial-time algorithm for deciding whether one edge uv can be inserted into D(G) when {u,v} is a dominating set for the graph G.}, author = {Arroyo Guevara, Alan M and Derka, Martin and Parada, Irene}, booktitle = {27th International Symposium on Graph Drawing and Network Visualization}, isbn = {978-3-0303-5801-3}, issn = {1611-3349}, location = {Prague, Czech Republic}, pages = {230--243}, publisher = {Springer Nature}, title = {{Extending simple drawings}}, doi = {10.1007/978-3-030-35802-0_18}, volume = {11904}, year = {2019}, } @inproceedings{7231, abstract = {Piecewise Barrier Tubes (PBT) is a new technique for flowpipe overapproximation for nonlinear systems with polynomial dynamics, which leverages a combination of barrier certificates. PBT has advantages over traditional time-step based methods in dealing with those nonlinear dynamical systems in which there is a large difference in speed between trajectories, producing an overapproximation that is time independent. However, the existing approach for PBT is not efficient due to the application of interval methods for enclosure-box computation, and it can only deal with continuous dynamical systems without uncertainty. In this paper, we extend the approach with the ability to handle both continuous and hybrid dynamical systems with uncertainty that can reside in parameters and/or noise. We also improve the efficiency of the method significantly, by avoiding the use of interval-based methods for the enclosure-box computation without loosing soundness. We have developed a C++ prototype implementing the proposed approach and we evaluate it on several benchmarks. The experiments show that our approach is more efficient and precise than other methods in the literature.}, author = {Kong, Hui and Bartocci, Ezio and Jiang, Yu and Henzinger, Thomas A}, booktitle = {17th International Conference on Formal Modeling and Analysis of Timed Systems}, isbn = {978-3-0302-9661-2}, issn = {1611-3349}, location = {Amsterdam, The Netherlands}, pages = {123--141}, publisher = {Springer Nature}, title = {{Piecewise robust barrier tubes for nonlinear hybrid systems with uncertainty}}, doi = {10.1007/978-3-030-29662-9_8}, volume = {11750}, year = {2019}, } @inproceedings{7232, abstract = {We present Mixed-time Signal Temporal Logic (STL−MX), a specification formalism which extends STL by capturing the discrete/ continuous time duality found in many cyber-physical systems (CPS), as well as mixed-signal electronic designs. In STL−MX, properties of components with continuous dynamics are expressed in STL, while specifications of components with discrete dynamics are written in LTL. To combine the two layers, we evaluate formulas on two traces, discrete- and continuous-time, and introduce two interface operators that map signals, properties and their satisfaction signals across the two time domains. We show that STL-mx has the expressive power of STL supplemented with an implicit T-periodic clock signal. We develop and implement an algorithm for monitoring STL-mx formulas and illustrate the approach using a mixed-signal example. }, author = {Ferrere, Thomas and Maler, Oded and Nickovic, Dejan}, booktitle = {17th International Conference on Formal Modeling and Analysis of Timed Systems}, isbn = {978-3-0302-9661-2}, issn = {1611-3349}, location = {Amsterdam, The Netherlands}, pages = {59--75}, publisher = {Springer Nature}, title = {{Mixed-time signal temporal logic}}, doi = {10.1007/978-3-030-29662-9_4}, volume = {11750}, year = {2019}, } @inproceedings{7233, abstract = {We demonstrate electro-optic frequency comb generation using a doubly resonant system comprising a whispering gallery mode disk resonator made of lithium niobate mounted inside a three dimensional copper cavity. We observe 180 sidebands centred at 1550 nm.}, author = {Rueda Sanchez, Alfredo R and Sedlmeir, Florian and Leuchs, Gerd and Kumari, Madhuri and Schwefel, Harald G.L.}, booktitle = {Nonlinear Optics, OSA Technical Digest}, isbn = {9781557528209}, location = {Waikoloa Beach, Hawaii (HI), United States}, publisher = {Optica Publishing Group}, title = {{Resonant electro-optic frequency comb generation in lithium niobate disk resonator inside a microwave cavity}}, doi = {10.1364/NLO.2019.NM2A.5}, year = {2019}, } @article{73, abstract = {We consider the space of probability measures on a discrete set X, endowed with a dynamical optimal transport metric. Given two probability measures supported in a subset Y⊆X, it is natural to ask whether they can be connected by a constant speed geodesic with support in Y at all times. Our main result answers this question affirmatively, under a suitable geometric condition on Y introduced in this paper. The proof relies on an extension result for subsolutions to discrete Hamilton-Jacobi equations, which is of independent interest.}, author = {Erbar, Matthias and Maas, Jan and Wirth, Melchior}, issn = {09442669}, journal = {Calculus of Variations and Partial Differential Equations}, number = {1}, publisher = {Springer}, title = {{On the geometry of geodesics in discrete optimal transport}}, doi = {10.1007/s00526-018-1456-1}, volume = {58}, year = {2019}, } @article{7340, abstract = {Coupling of endoplasmic reticulum stress to dimerisation‑dependent activation of the UPR transducer IRE1 is incompletely understood. Whilst the luminal co-chaperone ERdj4 promotes a complex between the Hsp70 BiP and IRE1's stress-sensing luminal domain (IRE1LD) that favours the latter's monomeric inactive state and loss of ERdj4 de-represses IRE1, evidence linking these cellular and in vitro observations is presently lacking. We report that enforced loading of endogenous BiP onto endogenous IRE1α repressed UPR signalling in CHO cells and deletions in the IRE1α locus that de-repressed the UPR in cells, encode flexible regions of IRE1LD that mediated BiP‑induced monomerisation in vitro. Changes in the hydrogen exchange mass spectrometry profile of IRE1LD induced by ERdj4 and BiP confirmed monomerisation and were consistent with active destabilisation of the IRE1LD dimer. Together, these observations support a competition model whereby waning ER stress passively partitions ERdj4 and BiP to IRE1LD to initiate active repression of UPR signalling.}, author = {Amin-Wetzel, Niko Paresh and Neidhardt, Lisa and Yan, Yahui and Mayer, Matthias P. and Ron, David}, issn = {2050084X}, journal = {eLife}, publisher = {eLife Sciences Publications}, title = {{Unstructured regions in IRE1α specify BiP-mediated destabilisation of the luminal domain dimer and repression of the UPR}}, doi = {10.7554/eLife.50793}, volume = {8}, year = {2019}, } @article{7391, abstract = {Electron microscopy (EM) is a technology that enables visualization of single proteins at a nanometer resolution. However, current protein analysis by EM mainly relies on immunolabeling with gold-particle-conjugated antibodies, which is compromised by large size of antibody, precluding precise detection of protein location in biological samples. Here, we develop a specific chemical labeling method for EM detection of proteins at single-molecular level. Rational design of α-helical peptide tag and probe structure provided a complementary reaction pair that enabled specific cysteine conjugation of the tag. The developed chemical labeling with gold-nanoparticle-conjugated probe showed significantly higher labeling efficiency and detectability of high-density clusters of tag-fused G protein-coupled receptors in freeze-fracture replicas compared with immunogold labeling. Furthermore, in ultrathin sections, the spatial resolution of the chemical labeling was significantly higher than that of antibody-mediated labeling. These results demonstrate substantial advantages of the chemical labeling approach for single protein visualization by EM.}, author = {Tabata, Shigekazu and Jevtic, Marijo and Kurashige, Nobutaka and Fuchida, Hirokazu and Kido, Munetsugu and Tani, Kazushi and Zenmyo, Naoki and Uchinomiya, Shohei and Harada, Harumi and Itakura, Makoto and Hamachi, Itaru and Shigemoto, Ryuichi and Ojida, Akio}, issn = {2589-0042}, journal = {iScience}, number = {12}, pages = {256--268}, publisher = {Elsevier}, title = {{Electron microscopic detection of single membrane proteins by a specific chemical labeling}}, doi = {10.1016/j.isci.2019.11.025}, volume = {22}, year = {2019}, } @article{7393, abstract = {The study of parallel ecological divergence provides important clues to the operation of natural selection. Parallel divergence often occurs in heterogeneous environments with different kinds of environmental gradients in different locations, but the genomic basis underlying this process is unknown. We investigated the genomics of rapid parallel adaptation in the marine snail Littorina saxatilis in response to two independent environmental axes (crab-predation versus wave-action and low-shore versus high-shore). Using pooled whole-genome resequencing, we show that sharing of genomic regions of high differentiation between environments is generally low but increases at smaller spatial scales. We identify different shared genomic regions of divergence for each environmental axis and show that most of these regions overlap with candidate chromosomal inversions. Several inversion regions are divergent and polymorphic across many localities. We argue that chromosomal inversions could store shared variation that fuels rapid parallel adaptation to heterogeneous environments, possibly as balanced polymorphism shared by adaptive gene flow.}, author = {Morales, Hernán E. and Faria, Rui and Johannesson, Kerstin and Larsson, Tomas and Panova, Marina and Westram, Anja M and Butlin, Roger K.}, issn = {2375-2548}, journal = {Science Advances}, number = {12}, publisher = {AAAS}, title = {{Genomic architecture of parallel ecological divergence: Beyond a single environmental contrast}}, doi = {10.1126/sciadv.aav9963}, volume = {5}, year = {2019}, } @article{7394, author = {Benková, Eva and Dagdas, Yasin}, issn = {1369-5266}, journal = {Current Opinion in Plant Biology}, number = {12}, pages = {A1--A2}, publisher = {Elsevier}, title = {{Editorial overview: Cell biology in the era of omics?}}, doi = {10.1016/j.pbi.2019.11.002}, volume = {52}, year = {2019}, } @article{7395, abstract = {The mitochondrial electron transport chain complexes are organized into supercomplexes (SCs) of defined stoichiometry, which have been proposed to regulate electron flux via substrate channeling. We demonstrate that CoQ trapping in the isolated SC I+III2 limits complex (C)I turnover, arguing against channeling. The SC structure, resolved at up to 3.8 Å in four distinct states, suggests that CoQ oxidation may be rate limiting because of unequal access of CoQ to the active sites of CIII2. CI shows a transition between “closed” and “open” conformations, accompanied by the striking rotation of a key transmembrane helix. Furthermore, the state of CI affects the conformational flexibility within CIII2, demonstrating crosstalk between the enzymes. CoQ was identified at only three of the four binding sites in CIII2, suggesting that interaction with CI disrupts CIII2 symmetry in a functionally relevant manner. Together, these observations indicate a more nuanced functional role for the SCs.}, author = {Letts, James A and Fiedorczuk, Karol and Degliesposti, Gianluca and Skehel, Mark and Sazanov, Leonid A}, issn = {1097-2765}, journal = {Molecular Cell}, number = {6}, pages = {1131--1146.e6}, publisher = {Cell Press}, title = {{Structures of respiratory supercomplex I+III2 reveal functional and conformational crosstalk}}, doi = {10.1016/j.molcel.2019.07.022}, volume = {75}, year = {2019}, } @article{7396, abstract = {The angular momentum of molecules, or, equivalently, their rotation in three-dimensional space, is ideally suited for quantum control. Molecular angular momentum is naturally quantized, time evolution is governed by a well-known Hamiltonian with only a few accurately known parameters, and transitions between rotational levels can be driven by external fields from various parts of the electromagnetic spectrum. Control over the rotational motion can be exerted in one-, two-, and many-body scenarios, thereby allowing one to probe Anderson localization, target stereoselectivity of bimolecular reactions, or encode quantum information to name just a few examples. The corresponding approaches to quantum control are pursued within separate, and typically disjoint, subfields of physics, including ultrafast science, cold collisions, ultracold gases, quantum information science, and condensed-matter physics. It is the purpose of this review to present the various control phenomena, which all rely on the same underlying physics, within a unified framework. To this end, recall the Hamiltonian for free rotations, assuming the rigid rotor approximation to be valid, and summarize the different ways for a rotor to interact with external electromagnetic fields. These interactions can be exploited for control—from achieving alignment, orientation, or laser cooling in a one-body framework, steering bimolecular collisions, or realizing a quantum computer or quantum simulator in the many-body setting.}, author = {Koch, Christiane P. and Lemeshko, Mikhail and Sugny, Dominique}, issn = {1539-0756}, journal = {Reviews of Modern Physics}, number = {3}, publisher = {American Physical Society}, title = {{Quantum control of molecular rotation}}, doi = {10.1103/revmodphys.91.035005}, volume = {91}, year = {2019}, } @article{7397, abstract = {Polymer additives can substantially reduce the drag of turbulent flows and the upperlimit, the so called “maximum drag reduction” (MDR) asymptote is universal, i.e. inde-pendent of the type of polymer and solvent used. Until recently, the consensus was that,in this limit, flows are in a marginal state where only a minimal level of turbulence activ-ity persists. Observations in direct numerical simulations using minimal sized channelsappeared to support this view and reported long “hibernation” periods where turbu-lence is marginalized. In simulations of pipe flow we find that, indeed, with increasingWeissenberg number (Wi), turbulence expresses long periods of hibernation if the domainsize is small. However, with increasing pipe length, the temporal hibernation continuouslyalters to spatio-temporal intermittency and here the flow consists of turbulent puffs sur-rounded by laminar flow. Moreover, upon an increase in Wi, the flow fully relaminarises,in agreement with recent experiments. At even larger Wi, a different instability is en-countered causing a drag increase towards MDR. Our findings hence link earlier minimalflow unit simulations with recent experiments and confirm that the addition of polymersinitially suppresses Newtonian turbulence and leads to a reverse transition. The MDRstate on the other hand results from a separate instability and the underlying dynamicscorresponds to the recently proposed state of elasto-inertial-turbulence (EIT).}, author = {Lopez Alonso, Jose M and Choueiri, George H and Hof, Björn}, issn = {1469-7645}, journal = {Journal of Fluid Mechanics}, pages = {699--719}, publisher = {CUP}, title = {{Dynamics of viscoelastic pipe flow at low Reynolds numbers in the maximum drag reduction limit}}, doi = {10.1017/jfm.2019.486}, volume = {874}, year = {2019}, } @article{7398, abstract = {Transporters of the solute carrier 6 (SLC6) family translocate their cognate substrate together with Na+ and Cl−. Detailed kinetic models exist for the transporters of GABA (GAT1/SLC6A1) and the monoamines dopamine (DAT/SLC6A3) and serotonin (SERT/SLC6A4). Here, we posited that the transport cycle of individual SLC6 transporters reflects the physiological requirements they operate under. We tested this hypothesis by analyzing the transport cycle of glycine transporter 1 (GlyT1/SLC6A9) and glycine transporter 2 (GlyT2/SLC6A5). GlyT2 is the only SLC6 family member known to translocate glycine, Na+, and Cl− in a 1:3:1 stoichiometry. We analyzed partial reactions in real time by electrophysiological recordings. Contrary to monoamine transporters, both GlyTs were found to have a high transport capacity driven by rapid return of the empty transporter after release of Cl− on the intracellular side. Rapid cycling of both GlyTs was further supported by highly cooperative binding of cosubstrate ions and substrate such that their forward transport mode was maintained even under conditions of elevated intracellular Na+ or Cl−. The most important differences in the transport cycle of GlyT1 and GlyT2 arose from the kinetics of charge movement and the resulting voltage-dependent rate-limiting reactions: the kinetics of GlyT1 were governed by transition of the substrate-bound transporter from outward- to inward-facing conformations, whereas the kinetics of GlyT2 were governed by Na+ binding (or a related conformational change). Kinetic modeling showed that the kinetics of GlyT1 are ideally suited for supplying the extracellular glycine levels required for NMDA receptor activation.}, author = {Erdem, Fatma Asli and Ilic, Marija and Koppensteiner, Peter and Gołacki, Jakub and Lubec, Gert and Freissmuth, Michael and Sandtner, Walter}, issn = {1540-7748}, journal = {The Journal of General Physiology}, number = {8}, pages = {1035--1050}, publisher = {Rockefeller University Press}, title = {{A comparison of the transport kinetics of glycine transporter 1 and glycine transporter 2}}, doi = {10.1085/jgp.201912318}, volume = {151}, year = {2019}, } @article{7399, abstract = {Long non-coding (lnc) RNAs are numerous and found throughout the mammalian genome, and many are thought to be involved in the regulation of gene expression. However, the majority remain relatively uncharacterised and of uncertain function making the use of model systems to uncover their mode of action valuable. Imprinted lncRNAs target and recruit epigenetic silencing factors to a cluster of imprinted genes on the same chromosome, making them one of the best characterized lncRNAs for silencing distant genes in cis. In this study we examined silencing of the distant imprinted gene Slc22a3 by the lncRNA Airn in the Igf2r imprinted cluster in mouse. Previously we proposed that imprinted lncRNAs may silence distant imprinted genes by disrupting promoter-enhancer interactions by being transcribed through the enhancer, which we called the enhancer interference hypothesis. Here we tested this hypothesis by first using allele-specific chromosome conformation capture (3C) to detect interactions between the Slc22a3 promoter and the locus of the Airn lncRNA that silences it on the paternal chromosome. In agreement with the model, we found interactions enriched on the maternal allele across the entire Airn gene consistent with multiple enhancer-promoter interactions. Therefore, to test the enhancer interference hypothesis we devised an approach to delete the entire Airn gene. However, the deletion showed that there are no essential enhancers for Slc22a2, Pde10a and Slc22a3 within the Airn gene, strongly indicating that the Airn RNA rather than its transcription is responsible for silencing distant imprinted genes. Furthermore, we found that silent imprinted genes were covered with large blocks of H3K27me3 on the repressed paternal allele. Therefore we propose an alternative hypothesis whereby the chromosome interactions may initially guide the lncRNA to target imprinted promoters and recruit repressive chromatin, and that these interactions are lost once silencing is established.}, author = {Andergassen, Daniel and Muckenhuber, Markus and Bammer, Philipp C. and Kulinski, Tomasz M. and Theussl, Hans-Christian and Shimizu, Takahiko and Penninger, Josef M. and Pauler, Florian and Hudson, Quanah J.}, issn = {1553-7404}, journal = {PLoS Genetics}, number = {7}, publisher = {Public Library of Science}, title = {{The Airn lncRNA does not require any DNA elements within its locus to silence distant imprinted genes}}, doi = {10.1371/journal.pgen.1008268}, volume = {15}, year = {2019}, } @article{7400, abstract = {Suppressed recombination allows divergence between homologous sex chromosomes and the functionality of their genes. Here, we reveal patterns of the earliest stages of sex-chromosome evolution in the diploid dioecious herb Mercurialis annua on the basis of cytological analysis, de novo genome assembly and annotation, genetic mapping, exome resequencing of natural populations, and transcriptome analysis. The genome assembly contained 34,105 expressed genes, of which 10,076 were assigned to linkage groups. Genetic mapping and exome resequencing of individuals across the species range both identified the largest linkage group, LG1, as the sex chromosome. Although the sex chromosomes of M. annua are karyotypically homomorphic, we estimate that about one-third of the Y chromosome, containing 568 transcripts and spanning 22.3 cM in the corresponding female map, has ceased recombining. Nevertheless, we found limited evidence for Y-chromosome degeneration in terms of gene loss and pseudogenization, and most X- and Y-linked genes appear to have diverged in the period subsequent to speciation between M. annua and its sister species M. huetii, which shares the same sex-determining region. Taken together, our results suggest that the M. annua Y chromosome has at least two evolutionary strata: a small old stratum shared with M. huetii, and a more recent larger stratum that is probably unique to M. annua and that stopped recombining ∼1 MYA. Patterns of gene expression within the nonrecombining region are consistent with the idea that sexually antagonistic selection may have played a role in favoring suppressed recombination.}, author = {Veltsos, Paris and Ridout, Kate E. and Toups, Melissa A and González-Martínez, Santiago C. and Muyle, Aline and Emery, Olivier and Rastas, Pasi and Hudzieczek, Vojtech and Hobza, Roman and Vyskot, Boris and Marais, Gabriel A. B. and Filatov, Dmitry A. and Pannell, John R.}, issn = {1943-2631}, journal = {Genetics}, number = {3}, pages = {815--835}, publisher = {Genetics Society of America}, title = {{Early sex-chromosome evolution in the diploid dioecious plant Mercurialis annua}}, doi = {10.1534/genetics.119.302045}, volume = {212}, year = {2019}, } @inproceedings{7401, abstract = {The genus g(G) of a graph G is the minimum g such that G has an embedding on the orientable surface M_g of genus g. A drawing of a graph on a surface is independently even if every pair of nonadjacent edges in the drawing crosses an even number of times. The Z_2-genus of a graph G, denoted by g_0(G), is the minimum g such that G has an independently even drawing on M_g. By a result of Battle, Harary, Kodama and Youngs from 1962, the graph genus is additive over 2-connected blocks. In 2013, Schaefer and Stefankovic proved that the Z_2-genus of a graph is additive over 2-connected blocks as well, and asked whether this result can be extended to so-called 2-amalgamations, as an analogue of results by Decker, Glover, Huneke, and Stahl for the genus. We give the following partial answer. If G=G_1 cup G_2, G_1 and G_2 intersect in two vertices u and v, and G-u-v has k connected components (among which we count the edge uv if present), then |g_0(G)-(g_0(G_1)+g_0(G_2))|<=k+1. For complete bipartite graphs K_{m,n}, with n >= m >= 3, we prove that g_0(K_{m,n})/g(K_{m,n})=1-O(1/n). Similar results are proved also for the Euler Z_2-genus. We express the Z_2-genus of a graph using the minimum rank of partial symmetric matrices over Z_2; a problem that might be of independent interest. }, author = {Fulek, Radoslav and Kyncl, Jan}, booktitle = {35th International Symposium on Computational Geometry (SoCG 2019)}, isbn = {978-3-95977-104-7}, issn = {1868-8969}, location = {Portland, OR, United States}, publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik}, title = {{Z_2-Genus of graphs and minimum rank of partial symmetric matrices}}, doi = {10.4230/LIPICS.SOCG.2019.39}, volume = {129}, year = {2019}, } @inproceedings{7402, abstract = {Graph planning gives rise to fundamental algorithmic questions such as shortest path, traveling salesman problem, etc. A classical problem in discrete planning is to consider a weighted graph and construct a path that maximizes the sum of weights for a given time horizon T. However, in many scenarios, the time horizon is not fixed, but the stopping time is chosen according to some distribution such that the expected stopping time is T. If the stopping time distribution is not known, then to ensure robustness, the distribution is chosen by an adversary, to represent the worst-case scenario. A stationary plan for every vertex always chooses the same outgoing edge. For fixed horizon or fixed stopping-time distribution, stationary plans are not sufficient for optimality. Quite surprisingly we show that when an adversary chooses the stopping-time distribution with expected stopping time T, then stationary plans are sufficient. While computing optimal stationary plans for fixed horizon is NP-complete, we show that computing optimal stationary plans under adversarial stopping-time distribution can be achieved in polynomial time. Consequently, our polynomial-time algorithm for adversarial stopping time also computes an optimal plan among all possible plans.}, author = {Chatterjee, Krishnendu and Doyen, Laurent}, booktitle = {34th Annual ACM/IEEE Symposium on Logic in Computer Science}, isbn = {9781728136080}, location = {Vancouver, BC, Canada}, pages = {1--13}, publisher = {IEEE}, title = {{Graph planning with expected finite horizon}}, doi = {10.1109/lics.2019.8785706}, year = {2019}, }