Results 11 to 20 of about 12,115 (251)
Further results on Hendry's Conjecture [PDF]
Discrete Mathematics & Theoretical Computer Science, 2022 Recently, a conjecture due to Hendry was disproved which stated that every Hamiltonian chordal graph is cycle extendible. Here we further explore the conjecture, showing that it fails to hold even when a number of extra conditions are imposed.
Manuel Lafond +2 more
doaj +1 more source
A Short Proof of the Size of Edge-Extremal Chordal Graphs
Journal of Mathematical Sciences and Modelling, 2022 [3] have recently determined the maximum number of edges of a chordal graph with a maximum degree less than $d$ and the matching number at most $\nu$ by exhibiting a family of chordal graphs achieving this bound. We provide simple proof of their result.
Mordechai Shalom
doaj +1 more source
Branchwidth of chordal graphs [PDF]
Discrete Applied Mathematics, 2009 This paper revisits the ‘branchwidth territories' of Kloks, Kratochvíl and Müller [T. Kloks, J. Kratochvíl, H. Müller, New branchwidth territories, in: 16th Ann. Symp. on Theoretical Aspect of Computer Science, STACS, in: Lecture Notes in Computer Science, vol. 1563, 1999, pp.
Paul, Christophe, Telle, Jan Arne
openaire +1 more source
Semipaired Domination in Some Subclasses of Chordal Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 A dominating set $D$ of a graph $G$ without isolated vertices is called semipaired dominating set if $D$ can be partitioned into $2$-element subsets such that the vertices in each set are at distance at most $2$. The semipaired domination number, denoted
Michael A. Henning +2 more
doaj +1 more source
Efficient (j, k)-Dominating Functions
Discussiones Mathematicae Graph Theory, 2023 For positive integers j and k, an efficient (j, k)-dominating function of a graph G = (V, E) is a function f : V → {0, 1, 2, . . ., j} such that the sum of function values in the closed neighbourhood of every vertex equals k. The relationship between the
Klostermeyer William F. +3 more
doaj +1 more source
On the End-Vertex Problem of Graph Searches [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 End vertices of graph searches can exhibit strong structural properties and are crucial for many graph algorithms. The problem of deciding whether a given vertex of a graph is an end-vertex of a particular search was first introduced by Corneil, K\"ohler
Jesse Beisegel +6 more
doaj +1 more source
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.
Bonamy, M. +4 more
openaire +3 more sources
$b$-vectors of chordal graphs [PDF]
Journal of Commutative Algebra, 2020 19 pages. 4 figures.
Montejano, Luis Pedro +1 more
openaire +3 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
Minimal toughness in special graph classes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 Let $t$ be a positive real number. A graph is called $t$-tough if the removal of any vertex set $S$ that disconnects the graph leaves at most $|S|/t$ components, and all graphs are considered 0-tough. The toughness of a graph is the largest $t$ for which
Gyula Y. Katona, Kitti Varga
doaj +1 more source