Results 31 to 40 of about 11,505 (254)
Recent Advances in Positive-Instance Driven Graph Searching
Algorithms, 2022 Research on the similarity of a graph to being a tree—called the treewidth of the graph—has seen an enormous rise within the last decade, but a practically fast algorithm for this task has been discovered only recently by Tamaki (ESA 2017).
Max Bannach, Sebastian Berndt
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The Treewidth of Induced Graphs of Conditional Preference Networks Is Small
Information, 2016 Conditional preference networks (CP-nets) are recently an emerging topic as a graphical model for compactly representing ordinal conditional preference relations on multi-attribute domains.
Jie Liu, Jinglei Liu
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On Supergraphs Satisfying CMSO Properties [PDF]
Logical Methods in Computer Science, 2021 Let CMSO denote the counting monadic second order logic of graphs. We give a constructive proof that for some computable function $f$, there is an algorithm $\mathfrak{A}$ that takes as input a CMSO sentence $\varphi$, a positive integer $t$, and a ...
Mateus de Oliveira Oliveira
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DynASP2.5: Dynamic Programming on Tree Decompositions in Action
Algorithms, 2021 Efficient exact parameterized algorithms are an active research area. Such algorithms exhibit a broad interest in the theoretical community. In the last few years, implementations for computing various parameters (parameter detection) have been ...
Johannes K. Fichte +3 more
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Journal of Combinatorial Theory, Series B, 2007 25 ...
Chandran, LS, Sivadasan, N
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Metric Dimension Parameterized By Treewidth [PDF]
Algorithmica, 2021 AbstractA resolving set S of a graph G is a subset of its vertices such that no two vertices of G have the same distance vector to S. The Metric Dimension problem asks for a resolving set of minimum size, and in its decision form, a resolving set of size at most some specified integer.
Édouard Bonnet, Nidhi Purohit
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Tuza's Conjecture for Threshold Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 Tuza famously conjectured in 1981 that in a graph without k+1 edge-disjoint triangles, it suffices to delete at most 2k edges to obtain a triangle-free graph. The conjecture holds for graphs with small treewidth or small maximum average degree, including
Marthe Bonamy +6 more
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The Treewidth of MDS and Reed-Muller Codes [PDF]
, 2011 The constraint complexity of a graphical realization of a linear code is the maximum dimension of the local constraint codes in the realization. The treewidth of a linear code is the least constraint complexity of any of its cycle-free graphical ...
Kashyap, Navin, Thangaraj, Andrew
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Information and Computation, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moritz Müller, Stefan Szeider
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Maximum matching width: new characterizations and a fast algorithm for dominating set [PDF]
, 2015 We give alternative definitions for maximum matching width, e.g. a graph $G$ has $\operatorname{mmw}(G) \leq k$ if and only if it is a subgraph of a chordal graph $H$ and for every maximal clique $X$ of $H$ there exists $A,B,C \subseteq X$ with $A \cup B
Jeong, Jisu +2 more
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