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» On the Grundy Number of a Graph
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DAM
2006
124views more  DAM 2006»
15 years 6 months ago
Coloring copoints of a planar point set
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
Walter Morris
ORL
2008
115views more  ORL 2008»
15 years 6 months ago
Maximum algebraic connectivity augmentation is NP-hard
The algebraic connectivity of a graph, which is the second-smallest eigenvalue of the Laplacian of the graph, is a measure of connectivity. We show that the problem of adding a sp...
Damon Mosk-Aoyama
CHI
2010
ACM
16 years 1 months ago
Graphemes: self-organizing shape-based clustered structures for network visualisations
Network visualisations use clustering approaches to simplify the presentation of complex graph structures. We present a novel application of clustering algorithms, which controls ...
Ross Shannon, Aaron J. Quigley, Paddy Nixon
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
16 years 12 days ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
FAW
2009
Springer
134views Algorithms» more  FAW 2009»
16 years 25 days ago
Pathwidth is NP-Hard for Weighted Trees
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the PATHWIDTH problem is NP-hard for parti...
Rodica Mihai, Ioan Todinca