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AMC
2010
109views more  AMC 2010»
13 years 9 months ago
A note on the partition dimension of Cartesian product graphs
Ismael Gónzalez Yero, Juan Alberto Rodr&iac...
DM
2006
71views more  DM 2006»
13 years 11 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
DAM
2007
62views more  DAM 2007»
13 years 10 months ago
Cancellation properties of products of graphs
This note extends results of Fern´andez, Leighton, and L´opez-Presa on the uniqueness of rth roots for disconnected graphs with respect to the Cartesian product to other product...
Wilfried Imrich, Sandi Klavzar, Douglas F. Rall
DAM
2007
141views more  DAM 2007»
13 years 10 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
DM
2008
75views more  DM 2008»
13 years 11 months ago
Homogeneous factorisations of graph products
A homogeneous factorisation of a digraph consists of a partition P = {P1, . . . , Pk} of the arc set A and two vertex-transitive subgroups M G Aut() such that M fixes each Pi set...
Michael Giudici, Cai Heng Li, Primoz Potocnik, Che...