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» The Alcuin Number of a Graph
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WG
2007
Springer
14 years 2 months ago
Pathwidth of Circular-Arc Graphs
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. Although pathwidth is a well-known and well-studied graph parameter, t...
Karol Suchan, Ioan Todinca
DM
1998
82views more  DM 1998»
13 years 7 months ago
Signed analogs of bipartite graphs
We characterize the edge-signed graphs in which every 'significant' positive closed walk (or combination of walks) has even length, under seven different criteria for si...
Thomas Zaslavsky
PRL
1998
91views more  PRL 1998»
13 years 7 months ago
Genetic operators for hierarchical graph clustering
In this paper we propose an encoding scheme and ad hoc operators for a genetic approach to hierarchical graph clustering. Given a connected graph whose vertices correspond to poin...
Stefano Rizzi
JGT
2010
84views more  JGT 2010»
13 years 6 months ago
Large classes of infinite k-cop-win graphs
While finite cop-win finite graphs possess a good structural characterization, none is known for infinite cop-win graphs. As evidence that such a characterization might not exis...
Anthony Bonato, Gena Hahn, Claude Tardif
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