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» The t-Improper Chromatic Number of Random Graphs
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DAM
2008
134views more  DAM 2008»
14 years 11 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»
14 years 11 months ago
On the Strong Chromatic Number of Random Graphs
Po-Shen Loh, Benny Sudakov
DM
2008
103views more  DM 2008»
14 years 11 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»
14 years 11 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»
14 years 11 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...