Results 221 to 230 of about 946,691 (269)

Chordal graphs

Topics in Algorithmic Graph Theory, 2021
M. Golumbic
semanticscholar   +3 more sources

Testing isomorphism of chordal graphs of bounded leafage is fixed-parameter tractable

International Workshop on Graph-Theoretic Concepts in Computer Science, 2021
The computational complexity of the graph isomorphism problem is considered to be a major open problem in theoretical computer science. It is known that testing isomorphism of chordal graphs is polynomial-time equivalent to the general graph isomorphism ...
V. Arvind   +3 more
semanticscholar   +1 more source

Well-partitioned chordal graphs: obstruction set and disjoint paths

International Workshop on Graph-Theoretic Concepts in Computer Science, 2020
We introduce a new subclass of chordal graphs that generalizes split graphs, which we call well-partitioned chordal graphs. Split graphs are graphs that admit a partition of the vertex set into cliques that can be arranged in a star structure, the leaves
Jungho Ahn   +3 more
semanticscholar   +1 more source

Regularity of binomial edge ideals of chordal graphs

Collectanea Mathematica, 2018
In this paper we prove the conjectured upper bound for Castelnuovo–Mumford regularity of binomial edge ideals posed in [ 23 ], in the case of chordal graphs.
M. Rouzbahani Malayeri   +2 more
semanticscholar   +1 more source

Distributed Minimum Vertex Coloring and Maximum Independent Set in Chordal Graphs

International Symposium on Mathematical Foundations of Computer Science, 2018
We give deterministic distributed $(1+\epsilon)$-approximation algorithms for Minimum Vertex Coloring and Maximum Independent Set on chordal graphs in the LOCAL model.
C. Konrad, V. Zamaraev
semanticscholar   +1 more source

Chromaticity of Chordal Graphs

Graphs and Combinatorics, 1997
A chordal graph is a graph that does not contain any induced cycle with length greater than 3. A polynomial \(P=\lambda^{m_0}(\lambda-1)^{m_1}\cdots (\lambda-k)^{m_k}\) is said to be a chordal polynomial, if for any graph \(G\), \(P(G,\lambda)=P\) implies \(G\) is a chordal graph. The main result of this paper is the following: If \(m_0=1\) and \(\sum_{
openaire   +2 more sources

Clique Partitions of Chordal Graphs

Combinatorics, Probability and Computing, 1993
To partition the edges of a chordal graph on n vertices into cliques may require as many as n2/6 cliques; there is an example requiring this many, which is also a threshold graph and a split graph. It is unknown whether this many cliques will always suffice. We are able to show that (1 − c)n2/4 cliques will suffice for some c > 0.
Erdős, Paul   +2 more
openaire   +2 more sources

Complexity and Algorithms for ISOMETRIC PATH COVER on Chordal Graphs and Beyond

International Symposium on Algorithms and Computation, 2022
Dibyayan Chakraborty   +5 more
semanticscholar   +1 more source

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