Results 1 to 10 of about 8,543 (180)

Randomized communication and implicit graph representations [PDF]

open access: yesSymposium on the Theory of Computing, 2021
The most basic lower-bound question in randomized communication complexity is: Does a given problem have constant cost, or non-constant cost? We observe that this question has a deep connection to implicit graph representations in structural graph theory.
Nathaniel Harms   +2 more
semanticscholar   +1 more source

Bridge-Depth Characterizes which Minor-Closed Structural Parameterizations of Vertex Cover Admit a Polynomial Kernel [PDF]

open access: yesSIAM Journal on Discrete Mathematics, 2020
We study the kernelization complexity of structural parameterizations of the Vertex Cover problem. Here, the goal is to find a polynomial-time preprocessing algorithm that can reduce any instance $(G,k)$ of the Vertex Cover problem to an equivalent one ...
Marin Bougeret, B. Jansen, Ignasi Sau
semanticscholar   +1 more source

Perfect elimination orderings for symmetric matrices [PDF]

open access: yesOptimization Letters, 2017
We introduce a new class of structured symmetric matrices by extending the notion of perfect elimination ordering from graphs to weighted graphs or matrices.
M. Laurent, Shin-ichi Tanigawa
semanticscholar   +2 more sources

Triangle‐free equimatchable graphs [PDF]

open access: yesJournal of Graph Theory, 2018
A graph is called equimatchable if all of its maximal matchings have the same size. Frendrup et al. provided a characterization of equimatchable graphs with girth at least 5.
Yasemin Büyükçolak   +2 more
semanticscholar   +1 more source

Forbidden induced subgraph characterization of circle graphs within split graphs [PDF]

open access: yesDiscrete Applied Mathematics, 2020
A graph is circle if its vertices are in correspondence with a family of chords in a circle in such a way that every two distinct vertices are adjacent if and only if the corresponding chords have nonempty intersection.
Flavia Bonomo-Braberman   +3 more
semanticscholar   +1 more source

A Characterization of K2, 4-Minor-Free Graphs [PDF]

open access: yesSIAM Journal on Discrete Mathematics, 2014
We provide a complete structural characterization of $K_{2,4}$-minor-free graphs. The 3-connected $K_{2,4}$-minor-free graphs consist of nine small graphs on at most eight vertices, together with a family of planar graphs that contains $2n-8 ...
M. Ellingham   +3 more
semanticscholar   +1 more source

On subgraphs of Cartesian product graphs and S-primeness

open access: yesElectron. Notes Discret. Math., 2004
B. Brešar
semanticscholar   +1 more source

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