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» The t-Improper Chromatic Number of Random Graphs
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DAM
2008
134views more  DAM 2008»
13 years 6 months ago
Efficient algorithms for finding critical subgraphs
This paper presents algorithms to find vertex-critical and edgecritical subgraphs in a given graph G, and demonstrates how these critical subgraphs can be used to determine the ch...
Christian Desrosiers, Philippe Galinier, Alain Her...
CPC
2008
67views more  CPC 2008»
13 years 6 months ago
On the Strong Chromatic Number of Random Graphs
Po-Shen Loh, Benny Sudakov
DM
2008
103views more  DM 2008»
13 years 6 months ago
Improper colouring of (random) unit disk graphs
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
Ross J. Kang, Tobias Müller, Jean-Séba...
IPL
1998
95views more  IPL 1998»
13 years 5 months ago
Coloring Random Graphs
An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most one. The least positive integer k for which there exis...
Michael Krivelevich, Benny Sudakov
SIAMDM
2008
154views more  SIAMDM 2008»
13 years 6 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...