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SODA
2012
ACM
218views Algorithms» more  SODA 2012»
13 years 2 days 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»
14 years 8 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»
15 years 1 months 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»
14 years 9 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»
14 years 9 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