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FAW
2009
Springer
180views Algorithms» more  FAW 2009»
14 years 3 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
JGAA
2002
99views more  JGAA 2002»
13 years 8 months ago
Graph Layout Aesthetics in UML Diagrams: User Preferences
The merit of automatic graph layout algorithms is typically judged by their computational efficiency and the extent to which they conform to aesthetic criteria (for example, minim...
Helen C. Purchase, Jo-Anne Allder, David A. Carrin...
ENTCS
2008
95views more  ENTCS 2008»
13 years 8 months ago
Coverage-biased Random Exploration of Models
This paper describes a set of methods for randomly drawing traces in large models either uniformly among all traces, or with a coverage criterion as target. Classical random walk ...
Marie-Claude Gaudel, Alain Denise, Sandrine-Domini...
JGT
2007
73views more  JGT 2007»
13 years 8 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 9 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