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» Acyclic colorings of products of trees
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IPL
2006
72views more  IPL 2006»
13 years 7 months ago
Acyclic colorings of products of trees
We obtain bounds for the coloring numbers of products of trees for three closely related types of colorings: acyclic, distance 2, and L(2, 1).
Robert E. Jamison, Gretchen L. Matthews, John Vill...
GC
2008
Springer
13 years 7 months ago
On the Acyclic Chromatic Number of Hamming Graphs
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
Robert E. Jamison, Gretchen L. Matthews
CORR
2011
Springer
184views Education» more  CORR 2011»
13 years 2 months ago
Acyclic and Star Colorings of Cographs
An acyclic coloring of a graph is a proper vertex coloring such that the union of any two color classes induces a disjoint collection of trees. The more restricted notion of star ...
Andrew Lyons
JGT
2008
103views more  JGT 2008»
13 years 7 months ago
Game coloring the Cartesian product of graphs
: This article proves the following result: Let G and G be graphs of orders n and n , respectively. Let G be obtained from G by adding to each vertex a set of n degree 1 neighbors....
Xuding Zhu
CJCDGCGT
2005
Springer
13 years 9 months ago
Fractional Vertex Arboricity of Graphs
The vertex arboricity va(G) of a graph G is the minimum number of subsets into which the vertex set V (G) can be partitioned so that each subset induces an acyclic subgraph. The f...
Qinglin Yu, Lian-Cui Zuo