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COCOON
2003
Springer
14 years 2 months ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz
CHI
2010
ACM
14 years 4 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
COCOON
2003
Springer
14 years 2 months ago
Matroid Representation of Clique Complexes
In this paper, we approach the quality of a greedy algorithm for the maximum weighted clique problem from the viewpoint of matroid theory. More precisely, we consider the clique c...
Kenji Kashiwabara, Yoshio Okamoto, Takeaki Uno
IWPEC
2004
Springer
14 years 2 months ago
Computing Small Search Numbers in Linear Time
Let G = V; E be a graph. The linear-width of G is de ned as the smallest integer k such that E can be arranged in a linear ordering e1; : : : ; er such that for every i = 1; :...
Hans L. Bodlaender, Dimitrios M. Thilikos
WG
2007
Springer
14 years 3 months ago
Proper Helly Circular-Arc Graphs
A circular-arc model M = (C, A) is a circle C together with a collection A of arcs of C. If no arc is contained in any other then M is a proper circular-arc model, if every arc has...
Min Chih Lin, Francisco J. Soulignac, Jayme Luiz S...