@inproceedings{10904,
  abstract     = {Multi-dimensional mean-payoff and energy games provide the mathematical foundation for the quantitative study of reactive systems, and play a central role in the emerging quantitative theory of verification and synthesis. In this work, we study the strategy synthesis problem for games with such multi-dimensional objectives along with a parity condition, a canonical way to express ω-regular conditions. While in general, the winning strategies in such games may require infinite memory, for synthesis the most relevant problem is the construction of a finite-memory winning strategy (if one exists). Our main contributions are as follows. First, we show a tight exponential bound (matching upper and lower bounds) on the memory required for finite-memory winning strategies in both multi-dimensional mean-payoff and energy games along with parity objectives. This significantly improves the triple exponential upper bound for multi energy games (without parity) that could be derived from results in literature for games on VASS (vector addition systems with states). Second, we present an optimal symbolic and incremental algorithm to compute a finite-memory winning strategy (if one exists) in such games. Finally, we give a complete characterization of when finite memory of strategies can be traded off for randomness. In particular, we show that for one-dimension mean-payoff parity games, randomized memoryless strategies are as powerful as their pure finite-memory counterparts.},
  author       = {Chatterjee, Krishnendu and Randour, Mickael and Raskin, Jean-François},
  booktitle    = {CONCUR 2012 - Concurrency Theory},
  editor       = {Koutny, Maciej and Ulidowski, Irek},
  isbn         = {9783642329395},
  issn         = {0302-9743},
  location     = {Newcastle upon Tyne, United Kingdom},
  pages        = {115--131},
  publisher    = {Springer},
  title        = {{Strategy synthesis for multi-dimensional quantitative objectives}},
  doi          = {10.1007/978-3-642-32940-1_10},
  volume       = {7454},
  year         = {2012},
}

@inproceedings{10905,
  abstract     = {Energy games belong to a class of turn-based two-player infinite-duration games played on a weighted directed graph. It is one of the rare and intriguing combinatorial problems that lie in NP ∩ co−NP, but are not known to be in P. While the existence of polynomial-time algorithms has been a major open problem for decades, there is no algorithm that solves any non-trivial subclass in polynomial time.
In this paper, we give several results based on the weight structures of the graph. First, we identify a notion of penalty and present a polynomial-time algorithm when the penalty is large. Our algorithm is the first polynomial-time algorithm on a large class of weighted graphs. It includes several counter examples that show that many previous algorithms, such as value iteration and random facet algorithms, require at least sub-exponential time. Our main technique is developing the first non-trivial approximation algorithm and showing how to convert it to an exact algorithm. Moreover, we show that in a practical case in verification where weights are clustered around a constant number of values, the energy game problem can be solved in polynomial time. We also show that the problem is still as hard as in general when the clique-width is bounded or the graph is strongly ergodic, suggesting that restricting graph structures need not help.},
  author       = {Chatterjee, Krishnendu and Henzinger, Monika H and Krinninger, Sebastian and Nanongkai, Danupon},
  booktitle    = {Algorithms – ESA 2012},
  isbn         = {9783642330896},
  issn         = {1611-3349},
  location     = {Ljubljana, Slovenia},
  pages        = {301--312},
  publisher    = {Springer},
  title        = {{Polynomial-time algorithms for energy games with special weight structures}},
  doi          = {10.1007/978-3-642-33090-2_27},
  volume       = {7501},
  year         = {2012},
}

@inproceedings{10906,
  abstract     = {HSF(C) is a tool that automates verification of safety and liveness properties for C programs. This paper describes the verification approach taken by HSF(C) and provides instructions on how to install and use the tool.},
  author       = {Grebenshchikov, Sergey and Gupta, Ashutosh and Lopes, Nuno P. and Popeea, Corneliu and Rybalchenko, Andrey},
  booktitle    = {Tools and Algorithms for the Construction and Analysis of Systems},
  editor       = {Flanagan, Cormac and König, Barbara},
  isbn         = {9783642287558},
  issn         = {1611-3349},
  location     = {Tallinn, Estonia},
  pages        = {549--551},
  publisher    = {Springer},
  title        = {{HSF(C): A software verifier based on Horn clauses}},
  doi          = {10.1007/978-3-642-28756-5_46},
  volume       = {7214},
  year         = {2012},
}

@article{12198,
  abstract     = {The Arabidopsis thaliana central cell, the companion cell of the egg, undergoes DNA demethylation before fertilization, but the targeting preferences, mechanism, and biological significance of this process remain unclear. Here, we show that active DNA demethylation mediated by the DEMETER DNA glycosylase accounts for all of the demethylation in the central cell and preferentially targets small, AT-rich, and nucleosome-depleted euchromatic transposable elements. The vegetative cell, the companion cell of sperm, also undergoes DEMETER-dependent demethylation of similar sequences, and lack of DEMETER in vegetative cells causes reduced small RNA–directed DNA methylation of transposons in sperm. Our results demonstrate that demethylation in companion cells reinforces transposon methylation in plant gametes and likely contributes to stable silencing of transposable elements across generations.},
  author       = {Ibarra, Christian A. and Feng, Xiaoqi and Schoft, Vera K. and Hsieh, Tzung-Fu and Uzawa, Rie and Rodrigues, Jessica A. and Zemach, Assaf and Chumak, Nina and Machlicova, Adriana and Nishimura, Toshiro and Rojas, Denisse and Fischer, Robert L. and Tamaru, Hisashi and Zilberman, Daniel},
  issn         = {1095-9203},
  journal      = {Science},
  keywords     = {Multidisciplinary},
  number       = {6100},
  pages        = {1360--1364},
  publisher    = {American Association for the Advancement of Science},
  title        = {{Active DNA demethylation in plant companion cells reinforces transposon methylation in gametes}},
  doi          = {10.1126/science.1224839},
  volume       = {337},
  year         = {2012},
}

@misc{13075,
  abstract     = {Little is known about the stability of trophic relationships in complex natural communities over evolutionary timescales. Here, we use sequence data from 18 nuclear loci to reconstruct and compare the intraspecific histories of major Pleistocene refugial populations in the Middle East, the Balkans and Iberia in a guild of four Chalcid parasitoids (Cecidostiba fungosa, C. semifascia, Hobbya stenonota and Mesopolobus amaenus) all attacking Cynipid oak galls. We develop a likelihood method to numerically estimate models of divergence between three populations from multilocus data. We investigate the power of this framework on simulated data, and - using triplet alignments of intronic loci - quantify the support for all possible divergence relationships between refugial populations in the four parasitoids. Although an East to West order of population divergence has highest support in all but one species, we cannot rule out alternative population tree topologies. Comparing the estimated times of population splits between species, we find that one species, M. amaenus, has a significantly older history than the rest of the guild and must have arrived in central Europe at least one glacial cycle prior to other guild members. This suggests that although all four species may share a common origin in the East, they expanded westwards into Europe at different times.},
  author       = {Lohse, Konrad and Barton, Nicholas H and Stone, Graham and Melika, George},
  publisher    = {Dryad},
  title        = {{Data from: A likelihood-based comparison of population histories in a parasitoid guild}},
  doi          = {10.5061/DRYAD.0G0FS},
  year         = {2012},
}

@inproceedings{1384,
  abstract     = {Software model checking, as an undecidable problem, has three possible outcomes: (1) the program satisfies the specification, (2) the program does not satisfy the specification, and (3) the model checker fails. The third outcome usually manifests itself in a space-out, time-out, or one component of the verification tool giving up; in all of these failing cases, significant computation is performed by the verification tool before the failure, but no result is reported. We propose to reformulate the model-checking problem as follows, in order to have the verification tool report a summary of the performed work even in case of failure: given a program and a specification, the model checker returns a condition Ψ - usually a state predicate - such that the program satisfies the specification under the condition Ψ - that is, as long as the program does not leave the states in which Ψ is satisfied. In our experiments, we investigated as one major application of conditional model checking the sequential combination of model checkers with information passing. We give the condition that one model checker produces, as input to a second conditional model checker, such that the verification problem for the second is restricted to the part of the state space that is not covered by the condition, i.e., the second model checker works on the problems that the first model checker could not solve. Our experiments demonstrate that repeated application of conditional model checkers, passing information from one model checker to the next, can significantly improve the verification results and performance, i.e., we can now verify programs that we could not verify before.},
  author       = {Beyer, Dirk and Henzinger, Thomas A and Keremoglu, Mehmet and Wendler, Philipp},
  booktitle    = {Proceedings of the ACM SIGSOFT 20th International Symposium on the Foundations of Software Engineering},
  location     = {Cary, NC, USA},
  publisher    = {ACM},
  title        = {{Conditional model checking: A technique to pass information between verifiers}},
  doi          = {10.1145/2393596.2393664},
  year         = {2012},
}

@inproceedings{2048,
  abstract     = {Leakage resilient cryptography attempts to incorporate side-channel leakage into the black-box security model and designs cryptographic schemes that are provably secure within it. Informally, a scheme is leakage-resilient if it remains secure even if an adversary learns a bounded amount of arbitrary information about the schemes internal state. Unfortunately, most leakage resilient schemes are unnecessarily complicated in order to achieve strong provable security guarantees. As advocated by Yu et al. [CCS’10], this mostly is an artefact of the security proof and in practice much simpler construction may already suffice to protect against realistic side-channel attacks. In this paper, we show that indeed for simpler constructions leakage-resilience can be obtained when we aim for relaxed security notions where the leakage-functions and/or the inputs to the primitive are chosen non-adaptively. For example, we show that a three round Feistel network instantiated with a leakage resilient PRF yields a leakage resilient PRP if the inputs are chosen non-adaptively (This complements the result of Dodis and Pietrzak [CRYPTO’10] who show that if a adaptive queries are allowed, a superlogarithmic number of rounds is necessary.) We also show that a minor variation of the classical GGM construction gives a leakage resilient PRF if both, the leakage-function and the inputs, are chosen non-adaptively.},
  author       = {Faust, Sebastian and Pietrzak, Krzysztof Z and Schipper, Joachim},
  booktitle    = { Conference proceedings CHES 2012},
  location     = {Leuven, Belgium},
  pages        = {213 -- 232},
  publisher    = {Springer},
  title        = {{Practical leakage-resilient symmetric cryptography}},
  doi          = {10.1007/978-3-642-33027-8_13},
  volume       = {7428},
  year         = {2012},
}

@inproceedings{2049,
  abstract     = {We propose a new authentication protocol that is provably secure based on a ring variant of the learning parity with noise (LPN) problem. The protocol follows the design principle of the LPN-based protocol from Eurocrypt’11 (Kiltz et al.), and like it, is a two round protocol secure against active attacks. Moreover, our protocol has small communication complexity and a very small footprint which makes it applicable in scenarios that involve low-cost, resource-constrained devices.

Performance-wise, our protocol is more efficient than previous LPN-based schemes, such as the many variants of the Hopper-Blum (HB) protocol and the aforementioned protocol from Eurocrypt’11. Our implementation results show that it is even comparable to the standard challenge-and-response protocols based on the AES block-cipher. Our basic protocol is roughly 20 times slower than AES, but with the advantage of having 10 times smaller code size. Furthermore, if a few hundred bytes of non-volatile memory are available to allow the storage of some off-line pre-computations, then the online phase of our protocols is only twice as slow as AES.
},
  author       = {Heyse, Stefan and Kiltz, Eike and Lyubashevsky, Vadim and Paar, Christof and Pietrzak, Krzysztof Z},
  booktitle    = { Conference proceedings FSE 2012},
  location     = {Washington, DC, USA},
  pages        = {346 -- 365},
  publisher    = {Springer},
  title        = {{Lapin: An efficient authentication protocol based on ring-LPN}},
  doi          = {10.1007/978-3-642-34047-5_20},
  volume       = {7549},
  year         = {2012},
}

@article{2263,
  abstract     = {Nestin-cre transgenic mice have been widely used to direct recombination to neural stem cells (NSCs) and intermediate neural progenitor cells (NPCs). Here we report that a readily utilized, and the only commercially available, Nestin-cre line is insufficient for directing recombination in early embryonic NSCs and NPCs. Analysis of recombination efficiency in multiple cre-dependent reporters and a genetic mosaic line revealed consistent temporal and spatial patterns of recombination in NSCs and NPCs. For comparison we utilized a knock-in Emx1cre line and found robust recombination in NSCs and NPCs in ventricular and subventricular zones of the cerebral cortices as early as embryonic day 12.5. In addition we found that the rate of Nestin-cre driven recombination only reaches sufficiently high levels in NSCs and NPCs during late embryonic and early postnatal periods. These findings are important when commercially available cre lines are considered for directing recombination to embryonic NSCs and NPCs.},
  author       = {Liang, Huixuan and Hippenmeyer, Simon and Ghashghaei, H.},
  journal      = {Biology open},
  number       = {12},
  pages        = {1200 -- 1203},
  publisher    = {The Company of Biologists},
  title        = {{A Nestin-cre transgenic mouse is insufficient for recombination in early embryonic neural progenitors}},
  doi          = {10.1242/bio.20122287},
  volume       = {1},
  year         = {2012},
}

@article{2302,
  abstract     = {We introduce propagation models (PMs), a formalism able to express several kinds of equations that describe the behavior of biochemical reaction networks. Furthermore, we introduce the propagation abstract data type (PADT), which separates concerns regarding different numerical algorithms for the transient analysis of biochemical reaction networks from concerns regarding their implementation, thus allowing for portable and efficient solutions. The state of a propagation abstract data type is given by a vector that assigns mass values to a set of nodes, and its (next) operator propagates mass values through this set of nodes. We propose an approximate implementation of the (next) operator, based on threshold abstraction, which propagates only &quot;significant&quot; mass values and thus achieves a compromise between efficiency and accuracy. Finally, we give three use cases for propagation models: the chemical master equation (CME), the reaction rate equation (RRE), and a hybrid method that combines these two equations. These three applications use propagation models in order to propagate probabilities and/or expected values and variances of the model's variables.},
  author       = {Henzinger, Thomas A and Mateescu, Maria},
  journal      = {IEEE ACM Transactions on Computational Biology and Bioinformatics},
  number       = {2},
  pages        = {310 -- 322},
  publisher    = {IEEE},
  title        = {{The propagation approach for computing biochemical reaction networks}},
  doi          = {10.1109/TCBB.2012.91},
  volume       = {10},
  year         = {2012},
}

@article{2318,
  abstract     = {We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. },
  author       = {Seiringer, Robert},
  journal      = {Journal of Spectral Theory},
  number       = {3},
  pages        = {321--328},
  publisher    = {European Mathematical Society},
  title        = {{Absence of bound states implies non-negativity of the scattering length}},
  doi          = {10.4171/JST/31},
  volume       = {2},
  year         = {2012},
}

@article{2411,
  abstract     = {The kingdom of fungi provides model organisms for biotechnology, cell biology, genetics, and life sciences in general. Only when their phylogenetic relationships are stably resolved, can individual results from fungal research be integrated into a holistic picture of biology. However, and despite recent progress, many deep relationships within the fungi remain unclear. Here, we present the first phylogenomic study of an entire eukaryotic kingdom that uses a consistency criterion to strengthen phylogenetic conclusions. We reason that branches (splits) recovered with independent data and different tree reconstruction methods are likely to reflect true evolutionary relationships. Two complementary phylogenomic data sets based on 99 fungal genomes and 109 fungal expressed sequence tag (EST) sets analyzed with four different tree reconstruction methods shed light from different angles on the fungal tree of life. Eleven additional data sets address specifically the phylogenetic position of Blastocladiomycota, Ustilaginomycotina, and Dothideomycetes, respectively. The combined evidence from the resulting trees supports the deep-level stability of the fungal groups toward a comprehensive natural system of the fungi. In addition, our analysis reveals methodologically interesting aspects. Enrichment for EST encoded data-a common practice in phylogenomic analyses-introduces a strong bias toward slowly evolving and functionally correlated genes. Consequently, the generalization of phylogenomic data sets as collections of randomly selected genes cannot be taken for granted. A thorough characterization of the data to assess possible influences on the tree reconstruction should therefore become a standard in phylogenomic analyses.},
  author       = {Ebersberger, Ingo and De Matos Simoes, Ricardo and Kupczok, Anne and Gube, Matthias and Kothe, Erika and Voigt, Kerstin and Von Haeseler, Arndt},
  journal      = {Molecular Biology and Evolution},
  number       = {5},
  pages        = {1319 -- 1334},
  publisher    = {Oxford University Press},
  title        = {{A consistent phylogenetic backbone for the fungi}},
  doi          = {10.1093/molbev/msr285},
  volume       = {29},
  year         = {2012},
}

@inproceedings{2715,
  abstract     = {We consider Markov decision processes (MDPs) with specifications given as Büchi (liveness) objectives. We consider the problem of computing the set of almost-sure winning vertices from where the objective can be ensured with probability 1. We study for the first time the average case complexity of the classical algorithm for computing the set of almost-sure winning vertices for MDPs with Büchi objectives. Our contributions are as follows: First, we show that for MDPs with constant out-degree the expected number of iterations is at most logarithmic and the average case running time is linear (as compared to the worst case linear number of iterations and quadratic time complexity). Second, for the average case analysis over all MDPs we show that the expected number of iterations is constant and the average case running time is linear (again as compared to the worst case linear number of iterations and quadratic time complexity). Finally we also show that given that all MDPs are equally likely, the probability that the classical algorithm requires more than constant number of iterations is exponentially small.},
  author       = {Chatterjee, Krishnendu and Joglekar, Manas and Shah, Nisarg},
  location     = {Hyderabad, India},
  pages        = {461 -- 473},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
  title        = {{Average case analysis of the classical algorithm for Markov decision processes with Büchi objectives}},
  doi          = {10.4230/LIPIcs.FSTTCS.2012.461},
  volume       = {18},
  year         = {2012},
}

@inproceedings{2825,
  abstract     = {We study the problem of maximum marginal prediction (MMP) in probabilistic graphical models, a task that occurs, for example, as the Bayes optimal decision rule under a Hamming loss. MMP is typically performed as a two-stage procedure: one estimates each variable's marginal probability and then forms a prediction from the states of maximal probability. In this work we propose a simple yet effective technique for accelerating MMP when inference is sampling-based: instead of the above two-stage procedure we directly estimate the posterior probability of each decision variable. This allows us to identify the point of time when we are sufficiently certain about any individual decision. Whenever this is the case, we dynamically prune the variables we are confident about from the underlying factor graph. Consequently, at any time only samples of variables whose decision is still uncertain need to be created. Experiments in two prototypical scenarios, multi-label classification and image inpainting, show that adaptive sampling can drastically accelerate MMP without sacrificing prediction accuracy.},
  author       = {Lampert, Christoph},
  location     = {Lake Tahoe, NV, United States},
  pages        = {82 -- 90},
  publisher    = {Neural Information Processing Systems},
  title        = {{Dynamic pruning of factor graphs for maximum marginal prediction}},
  volume       = {1},
  year         = {2012},
}

@article{2848,
  abstract     = {We study evolutionary game theory in a setting where individuals learn from each other. We extend the traditional approach by assuming that a population contains individuals with different learning abilities. In particular, we explore the situation where individuals have different search spaces, when attempting to learn the strategies of others. The search space of an individual specifies the set of strategies learnable by that individual. The search space is genetically given and does not change under social evolutionary dynamics. We introduce a general framework and study a specific example in the context of direct reciprocity. For this example, we obtain the counter intuitive result that cooperation can only evolve for intermediate benefit-to-cost ratios, while small and large benefit-to-cost ratios favor defection. Our paper is a step toward making a connection between computational learning theory and evolutionary game dynamics.},
  author       = {Chatterjee, Krishnendu and Zufferey, Damien and Nowak, Martin},
  journal      = {Journal of Theoretical Biology},
  pages        = {161 -- 173},
  publisher    = {Elsevier},
  title        = {{Evolutionary game dynamics in populations with different learners}},
  doi          = {10.1016/j.jtbi.2012.02.021},
  volume       = {301},
  year         = {2012},
}

@article{2849,
  author       = {Edelsbrunner, Herbert and Strelkova, Nataliya},
  journal      = {Russian Mathematical Surveys},
  number       = {6},
  pages        = {1167 -- 1168},
  publisher    = {IOP Publishing Ltd.},
  title        = {{On the configuration space of Steiner minimal trees}},
  doi          = {10.1070/RM2012v067n06ABEH004820},
  volume       = {67},
  year         = {2012},
}

@inproceedings{2888,
  abstract     = {Formal verification aims to improve the quality of hardware and software by detecting errors before they do harm. At the basis of formal verification lies the logical notion of correctness, which purports to capture whether or not a circuit or program behaves as desired. We suggest that the boolean partition into correct and incorrect systems falls short of the practical need to assess the behavior of hardware and software in a more nuanced fashion against multiple criteria.},
  author       = {Henzinger, Thomas A},
  booktitle    = {Conference proceedings MODELS 2012},
  location     = {Innsbruck, Austria},
  pages        = {1 -- 2},
  publisher    = {Springer},
  title        = {{Quantitative reactive models}},
  doi          = {10.1007/978-3-642-33666-9_1},
  volume       = {7590},
  year         = {2012},
}

@inproceedings{2890,
  abstract     = {Systems are often specified using multiple requirements on their behavior. In practice, these requirements can be contradictory. The classical approach to specification, verification, and synthesis demands more detailed specifications that resolve any contradictions in the requirements. These detailed specifications are usually large, cumbersome, and hard to maintain or modify. In contrast, quantitative frameworks allow the formalization of the intuitive idea that what is desired is an implementation that comes &quot;closest&quot; to satisfying the mutually incompatible requirements, according to a measure of fit that can be defined by the requirements engineer. One flexible framework for quantifying how &quot;well&quot; an implementation satisfies a specification is offered by simulation distances that are parameterized by an error model. We introduce this framework, study its properties, and provide an algorithmic solution for the following quantitative synthesis question: given two (or more) behavioral requirements specified by possibly incompatible finite-state machines, and an error model, find the finite-state implementation that minimizes the maximal simulation distance to the given requirements. Furthermore, we generalize the framework to handle infinite alphabets (for example, realvalued domains). We also demonstrate how quantitative specifications based on simulation distances might lead to smaller and easier to modify specifications. Finally, we illustrate our approach using case studies on error correcting codes and scheduler synthesis.},
  author       = {Cerny, Pavol and Gopi, Sivakanth and Henzinger, Thomas A and Radhakrishna, Arjun and Totla, Nishant},
  booktitle    = {Proceedings of the tenth ACM international conference on Embedded software},
  location     = {Tampere, Finland},
  pages        = {53 -- 62},
  publisher    = {ACM},
  title        = {{Synthesis from incompatible specifications}},
  doi          = {10.1145/2380356.2380371},
  year         = {2012},
}

@inproceedings{2891,
  abstract     = {Quantitative automata are nondeterministic finite automata with edge weights. They value a
run by some function from the sequence of visited weights to the reals, and value a word by its
minimal/maximal run. They generalize boolean automata, and have gained much attention in
recent years. Unfortunately, important automaton classes, such as sum, discounted-sum, and
limit-average automata, cannot be determinized. Yet, the quantitative setting provides the potential
of approximate determinization. We define approximate determinization with respect to
a distance function, and investigate this potential.
We show that sum automata cannot be determinized approximately with respect to any
distance function. However, restricting to nonnegative weights allows for approximate determinization
with respect to some distance functions.
Discounted-sum automata allow for approximate determinization, as the influence of a word’s
suffix is decaying. However, the naive approach, of unfolding the automaton computations up
to a sufficient level, is shown to be doubly exponential in the discount factor. We provide an
alternative construction that is singly exponential in the discount factor, in the precision, and
in the number of states. We prove matching lower bounds, showing exponential dependency on
each of these three parameters.
Average and limit-average automata are shown to prohibit approximate determinization with
respect to any distance function, and this is the case even for two weights, 0 and 1.},
  author       = {Boker, Udi and Henzinger, Thomas A},
  booktitle    = {Leibniz International Proceedings in Informatics},
  location     = {Hyderabad, India},
  pages        = {362 -- 373},
  publisher    = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
  title        = {{Approximate determinization of quantitative automata}},
  doi          = {10.4230/LIPIcs.FSTTCS.2012.362},
  volume       = {18},
  year         = {2012},
}

@article{2902,
  abstract     = {We present an algorithm for simplifying linear cartographic objects and results obtained with a computer program implementing this algorithm. },
  author       = {Edelsbrunner, Herbert and Musin, Oleg and Ukhalov, Alexey and Yakimova, Olga and Alexeev, Vladislav and Bogaevskaya, Victoriya and Gorohov, Andrey and Preobrazhenskaya, Margarita},
  journal      = {Modeling and Analysis of Information Systems},
  number       = {6},
  pages        = {152 -- 160},
  publisher    = {Russian Academy of Sciences},
  title        = {{Fractal and computational geometry for generalizing cartographic objects}},
  volume       = {19},
  year         = {2012},
}

