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SIAMDM
2008
154views more  SIAMDM 2008»
13 years 7 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...
ISAAC
2009
Springer
150views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Random Generation and Enumeration of Bipartite Permutation Graphs
Connected bipartite permutation graphs without vertex labels are investigated. First, the number of connected bipartite permutation graphs of n vertices is given. Based on the num...
Toshiki Saitoh, Yota Otachi, Katsuhisa Yamanaka, R...
ENDM
2000
121views more  ENDM 2000»
13 years 7 months ago
Finding the chromatic number by means of critical graphs
We propose a new exact algorithm for finding the chromatic number of a graph G. The algorithm attempts to determine the smallest possible induced subgraph G' of G which has t...
Francine Herrmann, Alain Hertz
CPC
2006
93views more  CPC 2006»
13 years 8 months ago
Generating Outerplanar Graphs Uniformly at Random
We show how to generate labeled and unlabeled outerplanar graphs with n vertices uniformly at random in polynomial time in n. To generate labeled outerplanar graphs, we present a c...
Manuel Bodirsky, Mihyun Kang
WG
2010
Springer
13 years 6 months ago
Graphs that Admit Right Angle Crossing Drawings
We consider right angle crossing (RAC) drawings of graphs in which the edges are represented by polygonal arcs and any two edges can cross only at a right angle. We show that if a ...
Karin Arikushi, Radoslav Fulek, Balázs Kesz...