Results 31 to 40 of about 756 (218)
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Tínaz Ekim +3 more
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On the multipacking number of grid graphs [PDF]
In 2001, Erwin introduced broadcast domination in graphs. It is a variant of classical domination where selected vertices may have different domination powers. The minimum cost of a dominating broadcast in a graph $G$ is denoted $\gamma_b(G)$.
Laurent Beaudou, Richard C. Brewster
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Representations of Edge Intersection Graphs of Paths in a Tree [PDF]
Let $\mathcal{P}$ be a collection of nontrivial simple paths in a tree $T$. The edge intersection graph of $\mathcal{P}$, denoted by EPT($\mathcal{P}$), has vertex set that corresponds to the members of $\mathcal{P}$, and two vertices are joined by an ...
Martin Charles Golumbic +2 more
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Minimum Eccentricity Shortest Paths in some Structured Graph Classes
We investigate the Minimum Eccentricity Shortest Path problem in some structured graph classes. It asks for a given graph to find a shortest path with minimum eccentricity.
Feodor Dragan, Arne Leitert
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Generating subgraphs in chordal graphs
13 pages, 1 figure.
Vadim E. Levit, David Tankus
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Clique Graphs of Chordal and Path Graphs [PDF]
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 Luiz Szwarcfiter +1 more
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A hole in a graph is an induced subgraph which is a cycle of length at least four. A graph is chordal if it contains no holes. Following McKee and Scheinerman (1993), we define the chordality of a graph $G$ to be the minimum number of chordal graphs on $V(G)$ such that the intersection of their edge sets is equal to $E(G)$.
Aristotelis Chaniotis +2 more
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The authors characterize those multigraphs which are squares of chordal graphs and develop an algorithm for producing the unique square root from its squared chordal graph.
Frank Harary, Terry A. McKee
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Reconfiguration graphs for vertex colourings of chordal and chordal bipartite graphs [PDF]
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Marthe Bonamy +4 more
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The leafage of a chordal graph
19 pages, 3 ...
In-Jen Lin +2 more
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