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» Vertex partitions of chordal graphs
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DAM
2007
141views more  DAM 2007»
13 years 8 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
JGAA
2007
87views more  JGAA 2007»
13 years 8 months ago
A 2.5D Hierarchical Drawing of Directed Graphs
We introduce a new graph drawing convention for 2.5D hierarchical drawings of directed graphs. The vertex set is partitioned both into layers of vertices drawn in parallel planes ...
Seok-Hee Hong, Nikola S. Nikolov, Alexandre Tarass...
DM
2006
71views more  DM 2006»
13 years 8 months ago
Pair lengths of product graphs
The pair length of a graph G is the maximum positive integer k, such that the vertex set of G can be partitioned into disjoint pairs {x, x }, such that d(x, x ) k for every x V (...
Demetres Christofides
ENDM
2007
140views more  ENDM 2007»
13 years 8 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
JCO
2007
74views more  JCO 2007»
13 years 8 months ago
Maximum cyclic 4-cycle packings of the complete multipartite graph
A graph G is said to be m-sufficient if m is not exceeding the order of G, each vertex of G is of even degree, and the number of edges in G is a multiple of m. A complete multipar...
Shung-Liang Wu, Hung-Lin Fu