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» Minimum independent dominating sets of random cubic graphs
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DAM
2011
14 years 8 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
147
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FCS
2009
14 years 11 months ago
Domination and Independence on the Rectangular Torus by Rooks and Bishops
A set S V is a dominating set of a graph G = (V; E) if each vertex in V is either in S or is adjacent to a vertex in S. A vertex is said to dominate itself and all its neighbors. ...
Joe DeMaio, William Faust
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
15 years 8 months ago
Tighter Approximation Bounds for Minimum CDS in Wireless Ad Hoc Networks
Abstract. Connected dominating set (CDS) has a wide range of applications in wireless ad hoc networks. A number of approximation algorithms for constructing a small CDS in wireless...
Minming Li, Peng-Jun Wan, F. Frances Yao
MST
2010
187views more  MST 2010»
14 years 8 months ago
Distributed Approximation of Capacitated Dominating Sets
We study local, distributed algorithms for the capacitated minimum dominating set (CapMDS) problem, which arises in various distributed network applications. Given a network graph...
Fabian Kuhn, Thomas Moscibroda
JGT
2010
158views more  JGT 2010»
15 years 5 days ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran