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OL
2011
242views Neural Networks» more  OL 2011»
13 years 3 months ago
On connected domination in unit ball graphs
Given a simple undirected graph, the minimum connected dominating set problem is to find a minimum cardinality subset of vertices D inducing a connected subgraph such that each ve...
Sergiy Butenko, Sera Kahruman-Anderoglu, Oleksii U...
ALGORITHMICA
2011
13 years 3 months ago
Crossing Numbers of Graphs with Rotation Systems
We show that computing the crossing number and the odd crossing number of a graph with a given rotation system is NP-complete. As a consequence we can show that many of the well-k...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
ICALP
2011
Springer
12 years 12 months ago
Compact Navigation and Distance Oracles for Graphs with Small Treewidth
Given an unlabeled, unweighted, and undirected graph with n vertices and small (but not necessarily constant) treewidth k, we consider the problem of preprocessing the graph to bui...
Arash Farzan, Shahin Kamali
GC
2007
Springer
13 years 8 months ago
On the Maximum Number of Cliques in a Graph
A clique is a set of pairwise adjacent vertices in a graph. We determine the maximum number of cliques in a graph for the following graph classes: (1) graphs with n vertices and m ...
David R. Wood
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