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Nature Reviews Cancer, ISSN 1474-175X, 11/2015, Volume 15, Issue 12, pp. 730 - 745
Journal Article
Inventiones Mathematicae, ISSN 0020-9910, 2009, Volume 177, Issue 3, pp. 533 - 540
We give a positive answer, in the measurable-group-theory context, to von Neumann's problem of knowing whether a non-amenable countable discrete group contains... 
MATHEMATICS | COST | CLUSTERS | PERCOLATION | EQUIVALENCE | MINIMAL SPANNING FORESTS | CAYLEY-GRAPHS | Studies | Group Theory | Probability | Operator Algebras | Dynamical Systems | Mathematics
Journal Article
The Annals of Applied Probability, ISSN 1050-5164, 2/2016, Volume 26, Issue 1, pp. 305 - 327
Journal Article
Annals of Probability, ISSN 0091-1798, 2018, Volume 46, Issue 4, pp. 2134 - 2189
We study uniform random permutations in an important class of pattern-avoiding permutations: the separable permutations. We describe the asymptotics of the... 
Permutation patterns | Permutons | Brownian excursion | permutons | NUMBER | TREES | OCCURRENCES | STATISTICS & PROBABILITY | PATTERN-AVOIDING PERMUTATIONS | Combinatorics | Mathematics
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2011, Volume 159, Issue 12, pp. 1189 - 1195
A subset S of vertices of a graph G is called a k - path vertex cover if every path of order k in G contains at least one vertex from S . Denote by ψ k ( G )... 
Path | Vertex cover | NP-complete | Dissociation number | Algorithm | Path vertex cover | MATHEMATICS, APPLIED | INDEPENDENCE NUMBER | HYPERGRAPHS | PROTOCOL | RATIO | BIPARTITE GRAPHS | Trees | Graphs | Mathematical analysis | Upper bounds | Computer Science | Discrete Mathematics
Journal Article
2004, 1, CRC Press series on discrete mathematics and its applications, ISBN 1584884363, xv, 184
Book
International Journal of Game Theory, ISSN 0020-7276, 06/2019, Volume 48, Issue 2, pp. 491 - 511
The game Arc-Kayles is played on an undirected graph with two players taking turns deleting an edge and its endpoints from the graph. We study a generalization... 
Combinatorial games | Arc-Kayles | Graphs | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | COMPLEXITY | STATISTICS & PROBABILITY | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | Chess | Trees | Queens | Trees (mathematics) | Graph theory | Periodic variations | Game theory | Turntaking | Mathematics | Combinatorics | Computer Science | Discrete Mathematics
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2018, Volume 251, pp. 30 - 39
The main topic of this paper is motivated by a localization problem in cellular networks. Given a graph G we want to localize a walking agent by checking his... 
MATHEMATICS, APPLIED | ROBBER | Geometry | Euclidean geometry | Cellular communication | Apexes | Upper bounds | Graphs | Graph theory | Trees (mathematics) | Position (location) | Game theory | Computer Science | Discrete Mathematics
Journal Article
SIAM Review, ISSN 0036-1445, 3/2007, Volume 49, Issue 1, pp. 3 - 31
Journal Article
Ergodic Theory and Dynamical Systems, ISSN 0143-3857, 12/2005, Volume 25, Issue 6, pp. 1809 - 1827
Measure equivalence (ME) is the measure theoretic counterpart of quasi-isometry. This field has grown considerably over the past few years, developing tools to... 
MATHEMATICS, APPLIED | HYPERBOLIC GROUPS | SPANNING FORESTS | TREES | COHOMOLOGY | UNIFORM | MEASURE PRESERVING TRANSFORMATIONS | RIGIDITY | ENDS | LATTICES | ORBIT EQUIVALENCE | Group Theory | Probability | Operator Algebras | Dynamical Systems | Mathematics
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 9/2007, Volume 169, Issue 3, pp. 621 - 670
We discuss scaling limits of large bipartite planar maps. If p≥2 is a fixed integer, we consider, for every integer n≥2, a random planar map M n which is... 
Mathematics, general | Mathematics | MATHEMATICS | TREES | Studies
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 10/2017, Volume 230, pp. 133 - 145
The bondage number b(G) of a nonempty graph G is the cardinality of a minimum set of edges whose removal from G results in a graph with domination number... 
Trees | Bondage number | Strong product | GRAPH | MATHEMATICS, APPLIED | C-N | Mathematics | Combinatorics | Computer Science | Discrete Mathematics
Journal Article