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FSTTCS
2009
Springer
15 years 2 months ago
Bounded Size Graph Clustering with Applications to Stream Processing
We introduce a graph clustering problem motivated by a stream processing application. Input to our problem is an undirected graph with vertex and edge weights. A cluster is a subse...
Rohit Khandekar, Kirsten Hildrum, Sujay Parekh, De...
SODA
2010
ACM
234views Algorithms» more  SODA 2010»
15 years 7 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»
14 years 10 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»
14 years 9 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»
14 years 9 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