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» (k, )-Distance-Hereditary Graphs
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150
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IPL
2007
121views more  IPL 2007»
15 years 3 months ago
Parameterized complexity of the induced subgraph problem in directed graphs
In this paper, we consider the parameterized complexity of the following problem: Given a hereditary property P on digraphs, an input digraph D and a positive integer k, does D ha...
Venkatesh Raman, Somnath Sikdar
DAM
2007
82views more  DAM 2007»
15 years 3 months ago
Every toroidal graph without adjacent triangles is (4, 1)*-choosable
In this paper, a structural theorem about toroidal graphs is given that strengthens a result of Borodin on plane graphs. As a consequence, it is proved that every toroidal graph w...
Baogang Xu, Haihui Zhang
117
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JGT
2010
84views more  JGT 2010»
15 years 1 months ago
Large classes of infinite k-cop-win graphs
While finite cop-win finite graphs possess a good structural characterization, none is known for infinite cop-win graphs. As evidence that such a characterization might not exis...
Anthony Bonato, Gena Hahn, Claude Tardif
ICALP
2009
Springer
16 years 3 months ago
Tight Bounds for the Cover Time of Multiple Random Walks
We study the cover time of multiple random walks. Given a graph G of n vertices, assume that k independent random walks start from the same vertex. The parameter of interest is the...
Robert Elsässer, Thomas Sauerwald
STOC
2000
ACM
112views Algorithms» more  STOC 2000»
15 years 7 months ago
A random graph model for massive graphs
We propose a random graph model which is a special case of sparse random graphs with given degree sequences. This model involves only a small number of parameters, called logsize ...
William Aiello, Fan R. K. Chung, Linyuan Lu