Sciweavers

3211 search results - page 11 / 643
» On the Grundy Number of a Graph
Sort
View
FAW
2009
Springer
180views Algorithms» more  FAW 2009»
14 years 2 months ago
Edge Search Number of Cographs in Linear Time
We give a linear-time algorithm for computing the edge search number of cographs, thereby proving that this problem can be solved in polynomial time on this graph class. With our ...
Pinar Heggernes, Rodica Mihai
RSA
2011
89views more  RSA 2011»
13 years 2 months ago
Excluding induced subgraphs: Critical graphs
Determining the cardinality and describing the structure of H-free graphs is wellinvestigated for many graphs H. In the nineties, Prömel and Steger proved that for a graph H with...
József Balogh, Jane Butterfield
JGT
2007
73views more  JGT 2007»
13 years 7 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen
GD
2008
Springer
13 years 8 months ago
Crossing and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
Sergio Cabello, Bojan Mohar
ENDM
2010
111views more  ENDM 2010»
13 years 7 months ago
Clique and chromatic number of circular-perfect graphs
A main result of combinatorial optimization is that clique and chromatic number of a perfect graph are computable in polynomial time (Gr
Arnaud Pêcher, Annegret Katrin Wagler