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» Coloring the Cartesian sum of graphs
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DM
2008
77views more  DM 2008»
15 years 3 months ago
Distinguishing colorings of Cartesian products of complete graphs
Michael J. Fisher, Garth Isaak
DAM
2010
116views more  DAM 2010»
15 years 3 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
CC
2006
Springer
133views System Software» more  CC 2006»
15 years 3 months ago
The complexity of chromatic strength and chromatic edge strength
The sum of a coloring is the sum of the colors assigned to the vertices (assuming that the colors are positive integers). The sum (G) of graph G is the smallest sum that can be ach...
Dániel Marx
DAM
2007
141views more  DAM 2007»
15 years 3 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
149
Voted
DAM
2011
14 years 10 months ago
Minimum sum set coloring of trees and line graphs of trees
In this paper, we study the Minimum Sum Set Coloring (MSSC) problem which consists in assigning a set of x(v) positive integers to each vertex v of a graph so that the intersectio...
Flavia Bonomo, Guillermo Durán, Javier Mare...