Results 21 to 30 of about 1,611,510 (293)
Gallai's Path Decomposition for 2-degenerate Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 Gallai's path decomposition conjecture states that if $G$ is a connected graph on $n$ vertices, then the edges of $G$ can be decomposed into at most $\lceil \frac{n }{2} \rceil$ paths. A graph is said to be an odd semi-clique if it can be obtained from a
Nevil Anto, Manu Basavaraju
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On the number of pancake stacks requiring four flips to be sorted [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Using existing classification results for the 7- and 8-cycles in the pancake graph, we determine the number of permutations that require 4 pancake flips (prefix reversals) to be sorted.
Saúl A. Blanco +2 more
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Bounds on the Twin-Width of Product Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 Twin-width is a graph width parameter recently introduced by Bonnet, Kim, Thomass\'{e} & Watrigant. Given two graphs $G$ and $H$ and a graph product $\star$, we address the question: is the twin-width of $G\star H$ bounded by a function of the twin ...
William Pettersson, John Sylvester
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On rank-width of even-hole-free graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 We present a class of (diamond, even hole)-free graphs with no clique cutset that has unbounded rank-width. In general, even-hole-free graphs have unbounded rank-width, because chordal graphs are even-hole-free. A.A. da Silva, A. Silva and C.
Isolde Adler +5 more
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Matchings of quadratic size extend to long cycles in hypercubes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 Ruskey and Savage in 1993 asked whether every matching in a hypercube can be extended to a Hamiltonian cycle. A positive answer is known for perfect matchings, but the general case has been resolved only for matchings of linear size.
Tomáš Dvořák
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Linear equations for unordered data vectors in $[D]^k\to{}Z^d$ [PDF]
Logical Methods in Computer Science, 2022 Following a recently considered generalisation of linear equations to unordered-data vectors and to ordered-data vectors, we perform a further generalisation to data vectors that are functions from k-element subsets of the unordered-data set to vectors ...
Piotr Hofman, Jakub Różycki
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On fixed-parameter tractability of the mixed domination problem for graphs with bounded tree-width [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 A mixed dominating set for a graph $G = (V,E)$ is a set $S\subseteq V \cup E$ such that every element $x \in (V \cup E) \backslash S$ is either adjacent or incident to an element of $S$. The mixed domination number of a graph $G$, denoted by $\gamma_m(G)$
M. Rajaati +3 more
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Irreversible 2-conversion set in graphs of bounded degree [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 An irreversible $k$-threshold process (also a $k$-neighbor bootstrap percolation) is a dynamic process on a graph where vertices change color from white to black if they have at least $k$ black neighbors. An irreversible $k$-conversion set of a graph $G$
Jan Kynčl +2 more
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An explicit construction of graphs of bounded degree that are far from being Hamiltonian [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 Hamiltonian cycles in graphs were first studied in the 1850s. Since then, an impressive amount of research has been dedicated to identifying classes of graphs that allow Hamiltonian cycles, and to related questions.
Isolde Adler, Noleen Köhler
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Flow Faster: Efficient Decision Algorithms for Probabilistic Simulations [PDF]
Logical Methods in Computer Science, 2008 Strong and weak simulation relations have been proposed for Markov chains, while strong simulation and strong probabilistic simulation relations have been proposed for probabilistic automata.
Lijun Zhang +3 more
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