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SODA
2012
ACM
218views Algorithms» more  SODA 2012»
11 years 11 months ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
MICS
2010
134views more  MICS 2010»
13 years 6 months ago
Scale Free Properties of Random k-Trees
Scale free graphs have attracted attention as their non-uniform structure that can be used as a model for many social networks including the WWW and the Internet. In this paper, w...
Colin Cooper, Ryuhei Uehara
AAIM
2007
Springer
123views Algorithms» more  AAIM 2007»
14 years 14 days ago
Efficient Algorithms for k -Disjoint Paths Problems on DAGs
Given an acyclic directed graph and two distinct nodes s and t, we consider the problem of finding k disjoint paths from s to t satisfying some objective. We consider four objectiv...
Rudolf Fleischer, Qi Ge, Jian Li, Hong Zhu
AHSWN
2008
95views more  AHSWN 2008»
13 years 8 months ago
Incremental Construction of k-Dominating Sets in Wireless Sensor Networks
Given a graph G, a k-dominating set of G is a subset S of its vertices with the property that every vertex of G is either in S or has at least k neighbors in S. We present a new i...
Mathieu Couture, Michel Barbeau, Prosenjit Bose, E...
SIAMDM
2008
118views more  SIAMDM 2008»
13 years 8 months ago
Ramsey-Type Problem for an Almost Monochromatic K4
In this short note we prove that there is a constant c such that every k-edge-coloring of the complete graph Kn with n 2ck contains a K4 whose edges receive at most two colors. Th...
Jacob Fox, Benny Sudakov