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» Short Cycle Covers of Graphs with Minimum Degree Three
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SIAMDM
2010
95views more  SIAMDM 2010»
13 years 3 months ago
Short Cycle Covers of Graphs with Minimum Degree Three
Tomás Kaiser, Daniel Král', Bernard ...
JGT
2007
99views more  JGT 2007»
13 years 5 months ago
The upper bound of the number of cycles in a 2-factor of a line graph
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...
Jun Fujisawa, Liming Xiong, Kiyoshi Yoshimoto, She...
JGT
2010
81views more  JGT 2010»
13 years 3 months ago
Cycles and paths in edge-colored graphs with given degrees
Sufficient degree conditions for the existence of properly edge-colored cycles and paths in edge-colored graphs, multigraphs and random graphs are inverstigated. In particular, we...
A. Abouelaoualim, Kinkar Chandra Das, Wenceslas Fe...
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 7 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov
ICALP
2001
Springer
13 years 10 months ago
Approximation Algorithms for Partial Covering Problems
We study the generalization of covering problems to partial covering. Here we wish to cover only a desired number of elements, rather than covering all elements as in standard cov...
Rajiv Gandhi, Samir Khuller, Aravind Srinivasan