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» The independence number in graphs of maximum degree three
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TCS
2008
14 years 11 months ago
Setting port numbers for fast graph exploration
We consider the problem of periodic graph exploration by a finite automaton in which an automaton with a constant number of states has to explore all unknown anonymous graphs of a...
David Ilcinkas
DM
2008
85views more  DM 2008»
14 years 11 months ago
All graphs with maximum degree three whose complements have 4-cycle decompositions
Let G be the set that contains precisely the graphs on n vertices with maximum degree 3 for which there exists a 4-cycle system of their complement in Kn. In this paper G is compl...
Chin-Mei Fu, Hung-Lin Fu, Christopher A. Rodger, T...
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
15 years 8 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber