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SODA
2010
ACM
234views Algorithms» more  SODA 2010»
16 years 1 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
ESA
2010
Springer
126views Algorithms» more  ESA 2010»
15 years 5 months ago
Determining Edge Expansion and Other Connectivity Measures of Graphs of Bounded Genus
In this paper, we show that for an n-vertex graph G of genus g, the edge expansion of G can be determined in time nO(g2 ) . We show that the same is true for various other similar ...
Viresh Patel
DM
2008
91views more  DM 2008»
15 years 4 months ago
Lower bounds for the game colouring number of partial k-trees and planar graphs
This paper discusses the game colouring number of partial k-trees and planar graphs. Let colg(PT k) and colg(P) denote the maximum game colouring number of partial k trees and the...
Jiaojiao Wu, Xuding Zhu
ENDM
2002
134views more  ENDM 2002»
15 years 4 months ago
Bounds on the signed domination number of a graph
Let G = (V, E) be a simple graph on vertex set V and define a function f : V {-1, 1}. The function f is a signed dominating function if for every vertex x V, the closed neighbor...
Ruth Haas, Thomas B. Wexler
COMBINATORICA
2006
137views more  COMBINATORICA 2006»
15 years 4 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos