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ORL
2008
115views more  ORL 2008»
15 years 3 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
15 years 10 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»
15 years 10 months 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»
15 years 10 months 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
SWAT
2004
Springer
171views Algorithms» more  SWAT 2004»
15 years 9 months ago
Connectivity of Graphs Under Edge Flips
We study the following problem: Given a set V of n vertices and a set E of m edge pairs, we define a graph family G(V, E) as the set of graphs that have vertex set V and contain ...
Norbert Zeh