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» The Alcuin Number of a Graph
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127
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DM
2006
79views more  DM 2006»
15 years 6 months ago
Conditional colorings of graphs
For an integer r > 0, a conditional (k, r)-coloring of a graph G is a proper k-coloring of the vertices of G such that every vertex of degree at least r in G will be adjacent t...
Hong-Jian Lai, Jianliang Lin, Bruce Montgomery, Ta...
COMBINATORICS
2006
130views more  COMBINATORICS 2006»
15 years 6 months ago
Fractional Biclique Covers and Partitions of Graphs
A biclique is a complete bipartite subgraph of a graph. This paper investigates the fractional biclique cover number, bc(G), and the fractional biclique partition number, bp(G), o...
Valerie L. Watts
JGT
2008
103views more  JGT 2008»
15 years 6 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
COCOON
2006
Springer
15 years 10 months ago
Optimal Acyclic Edge Colouring of Grid Like Graphs
We determine the values of the acyclic chromatic index of a class of graphs referred to as d-dimensional partial tori. These are graphs which can be expressed as the cartesian prod...
Rahul Muthu, N. Narayanan, C. R. Subramanian
164
Voted
CJCDGCGT
2005
Springer
15 years 8 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