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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 4 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 6 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 9 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