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» On Bounds for the k-Partitioning of Graphs
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DM
2010
140views more  DM 2010»
14 years 10 months ago
Online Ramsey games for triangles in random graphs
In the online F-avoidance edge-coloring game with r colors, a graph on n vertices is generated by at each stage randomly adding a new edge. The player must color each new edge as ...
József Balogh, Jane Butterfield
JCT
2007
133views more  JCT 2007»
14 years 10 months ago
Biased graphs. VII. Contrabalance and antivoltages
Abstract. We develop linear representation theory for bicircular matroids, a chief example being a matroid associated with forests of a graph, and bicircular lift matroids, a chief...
Thomas Zaslavsky
ICANNGA
2007
Springer
141views Algorithms» more  ICANNGA 2007»
15 years 4 months ago
On Sum Coloring of Graphs with Parallel Genetic Algorithms
Abstract. Chromatic number, chromatic sum and chromatic sum number are important graph coloring characteristics. The paper proves that a parallel metaheuristic like the parallel ge...
Zbigniew Kokosinski, Krzysztof Kwarciany
ACSC
2005
IEEE
15 years 3 months ago
Large k-Separated Matchings of Random Regular Graphs
A k-separated matching in a graph is a set of edges at distance at least k from one another (hence, for instance, a 1-separated matching is just a matching in the classical sense)...
Mihalis Beis, William Duckworth, Michele Zito
JGT
2008
107views more  JGT 2008»
14 years 10 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir