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» The overlap number of a graph
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GG
2004
Springer
14 years 1 months ago
Parallel Independence in Hierarchical Graph Transformation
Abstract. Hierarchical graph transformation as defined in [1, 2] extends double-pushout graph transformation in the spirit of term rewriting: Graphs are provided with hierarchical...
Annegret Habel, Berthold Hoffmann
JGT
2007
99views more  JGT 2007»
13 years 8 months ago
The upper bound of the number of cycles in a 2-factor of a line graph
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...
Jun Fujisawa, Liming Xiong, Kiyoshi Yoshimoto, She...
DM
2010
128views more  DM 2010»
13 years 8 months ago
Some remarks on the geodetic number of a graph
A set of vertices D of a graph G is geodetic if every vertex of G lies on a shortest path between two not necessarily distinct vertices in D. The geodetic number of G is the minimu...
Mitre Costa Dourado, Fábio Protti, Dieter R...
GC
2010
Springer
13 years 7 months ago
The b-Chromatic Number of Cubic Graphs
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-coloring in which every color class contains at least one vertex adjacent to some vertex...
Marko Jakovac, Sandi Klavzar