Results 11 to 20 of about 235 (177)
Edge erasures and chordal graphs [PDF]
Electronic Journal of Graph Theory and Applications, 2021 We prove several results about chordal graphs and weighted chordal graphs by focusing on exposed edges. These are edges that are properly contained in a single maximal complete subgraph.
Jared Culbertson +2 more
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Graphs of low chordality [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 The chordality of a graph with at least one cycle is the length of the longest induced cycle in it. The odd (even) chordality is defined to be the length of the longest induced odd (even) cycle in it. Chordal graphs have chordality at most 3.
Sunil Chandran +2 more
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Intersection Graphs of Pseudosegments: Chordal Graphs
Journal of Graph Algorithms and Applications, 2010 We investigate which chordal graphs have a representation as intersection graphs of pseudosegments. For positive we have a construction which shows that all chordal graphs that can be represented as intersection graphs of subpaths on a tree
Cornelia Dangelmayr +2 more
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Graph isomorphism completeness for chordal bipartite graphs and strongly chordal graphs
Discrete Applied Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryuhei Uehara
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Clique Graphs of Chordal and Path Graphs [PDF]
SIAM Journal on Discrete Mathematics, 1994 Clique graphs of chordal and (undirected) path graphs are characterized. The clique graph of a graph \(G\) is the intersection graph of maximal cliques of \(G\). A chordal graph is the intersection graph of subtrees of a tree. A path graph is the intersection graph of paths of a tree. (Given a family \(F\) of subsets, the intersection graph of \(F\) is
Jayme L Szwarcfiter
exaly +3 more sources
Reconfiguration graphs for vertex colourings of chordal and chordal bipartite graphs [PDF]
Journal of Combinatorial Optimization, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniel Paulusma +2 more
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Chordal bipartite, strongly chordal, and strongly chordal bipartite graphs
Discrete Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Terry Mckee
exaly +3 more sources
The Neighborhood Polynomial of Chordal Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 We study the neighborhood polynomial and the complexity of its computation for chordal graphs. The neighborhood polynomial of a graph is the generating function of subsets of its vertices that have a common neighbor.
Helena Bergold +2 more
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On chordal phylogeny graphs [PDF]
Discrete Applied Mathematics, 2021 An acyclic digraph each vertex of which has indegree at most $i$ and outdegree at most $j$ is called an $(i, j)$ digraph for some positive integers $i$ and $j$. Lee {\it et al.} (2017) studied the phylogeny graphs of $(2, 2)$ digraphs and gave sufficient conditions and necessary conditions for $(2, 2)$ digraphs having chordal phylogeny graphs.
Soogang Eoh, Suh-Ryung Kim
openaire +2 more sources
Characterizing 2-Trees Relative to Chordal and Series-Parallel Graphs
Theory and Applications of Graphs, 2021 The 2-connected 2-tree graphs are defined as being constructible from a single 3-cycle by recursively appending new degree-2 vertices so as to form 3-cycles that have unique edges in common with the existing graph.
Terry McKee
doaj +1 more source