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DM
2008
110views more  DM 2008»
14 years 9 months ago
Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks
We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is hamiltonian), by Thomassen (every 4-connected line graph is hamiltonian) and by Fleischne...
Hajo Broersma, Gasper Fijavz, Tomás Kaiser,...
DAGSTUHL
2007
14 years 11 months ago
Exact Elimination of Cycles in Graphs
One of the standard basic steps in drawing hierarchical graphs is to invert some arcs of the given graph to make the graph acyclic. We discuss exact and parameterized algorithms fo...
Daniel Raible, Henning Fernau
ICALP
2000
Springer
15 years 1 months ago
Computing the Girth of a Planar Graph
We give an O(n log n) algorithm for computing the girth (shortest cycle) of an undirected n-vertex planar graph. Our solution extends to any graph of bounded genus. This improves u...
Hristo Djidjev
ESA
2009
Springer
146views Algorithms» more  ESA 2009»
15 years 4 months ago
Kernel Bounds for Disjoint Cycles and Disjoint Paths
In this paper, we give evidence for the problems Disjoint Cycles and Disjoint Paths that they cannot be preprocessed in polynomial time such that resulting instances always have a ...
Hans L. Bodlaender, Stéphan Thomassé...
CLUSTER
2003
IEEE
15 years 2 months ago
Interstitial Computing: Utilizing Spare Cycles on Supercomputers
This paper presents an analysis of utilizing unused cycles on supercomputers through the use of many small jobs. What we call “interstitial computing,” is important to superco...
Stephen D. Kleban, Scott H. Clearwater