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» On the Grundy Number of a Graph
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JCT
2007
85views more  JCT 2007»
15 years 6 months ago
Separating systems and oriented graphs of diameter two
We prove results on the size of weakly and strongly separating set systems and matrices, and on cross-intersecting systems. As a consequence, we improve on a result of Katona and ...
Béla Bollobás, Alex D. Scott
DAM
2002
90views more  DAM 2002»
15 years 6 months ago
k-Subdomination in graphs
For a positive integer k, a k-subdominating function of a graph G = (V; E) is a function f : V {-1; 1} such that uNG[v] f(u)
Gerard J. Chang, Sheng-Chyang Liaw, Hong-Gwa Yeh
IWC
2000
99views more  IWC 2000»
15 years 6 months ago
Effective information visualisation: a study of graph drawing aesthetics and algorithms
Information visualisation systems which generate diagrams representing discrete relational information must consider potential users if they are to be effective. Many algorithms w...
Helen C. Purchase
IPL
2002
89views more  IPL 2002»
15 years 6 months ago
New bounds on the barycenter heuristic for bipartite graph drawing
The barycenter heuristic is often used to solve the NP-hard two-layer edge crossing minimization problem. It is well-known that the barycenter heuristic can give solutions as bad a...
Xiao Yu Li, Matthias F. M. Stallmann
COMBINATORICS
1999
64views more  COMBINATORICS 1999»
15 years 6 months ago
Orthogonal Colorings of Graphs
An orthogonal coloring of a graph G is a pair {c1, c2} of proper colorings of G, having the property that if two vertices are colored with the same color in c1, then they must hav...
Yair Caro, Raphael Yuster