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» Cycle decompositions of the complete graph
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113
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STACS
2007
Springer
15 years 5 months ago
New Approximation Algorithms for Minimum Cycle Bases of Graphs
We consider the problem of computing an approximate minimum cycle basis of an undirected non-negative edge-weighted graph G with m edges and n vertices; the extension to directed ...
Telikepalli Kavitha, Kurt Mehlhorn, Dimitrios Mich...
FCT
2009
Springer
15 years 6 months ago
Directed Graphs of Entanglement Two
Entanglement is a complexity measure for directed graphs that was used to show that the variable hierarchy of the propositional modal µ-calculus is strict. While graphs of entangl...
Erich Grädel, Lukasz Kaiser, Roman Rabinovich
ALGORITHMICA
2005
149views more  ALGORITHMICA 2005»
14 years 11 months ago
Approximating Maximum Weight Cycle Covers in Directed Graphs with Weights Zero and One
A cycle cover of a graph is a spanning subgraph each node of which is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. Gi...
Markus Bläser, Bodo Manthey
JCB
2006
124views more  JCB 2006»
14 years 11 months ago
The Distribution of Genomic Distance between Random Genomes
We study the probability distribution of genomic distance d under the hypothesis of random gene order. We translate the random order assumption into a stochastic method for constr...
David Sankoff, Lani Haque
97
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JGT
2006
92views more  JGT 2006»
14 years 11 months ago
Characterization of edge-colored complete graphs with properly colored Hamilton paths
An edge-colored graph H is properly colored if no two adjacent edges of H have the same color. In 1997, J. Bang-Jensen and G. Gutin conjectured that an edgecolored complete graph ...
Jinfeng Feng, Hans-Erik Giesen, Yubao Guo, Gregory...