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» Inequalities for the first-fit chromatic number
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SIAMDM
2008
154views more  SIAMDM 2008»
13 years 5 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...
DM
2007
114views more  DM 2007»
13 years 5 months ago
An inequality for the group chromatic number of a graph
—We give an inequality for the group chromatic number of a graph as an extension of Brooks’ Theorem. Moreover, we obtain a structural theorem for graphs satisfying the equality...
Hong-Jian Lai, Xiangwen Li, Gexin Yu
JGT
2008
64views more  JGT 2008»
13 years 5 months ago
Inequalities for the first-fit chromatic number
Zoltán Füredi, András Gyá...
IPL
2000
111views more  IPL 2000»
13 years 5 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 5 months ago
On the Difficulty of Designing Good Classifiers
We consider the problem of designing a near-optimal linear decision tree to classify two given point sets B and W in n. A linear decision tree de nes a polyhedral subdivision of sp...
Michelangelo Grigni, Vincent Mirelli, Christos H. ...