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» Bounds on the signed domination number of a graph
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JCO
2007
97views more  JCO 2007»
13 years 7 months ago
Restricted domination parameters in graphs
In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V (G) is an m-tuple dominating set if S dominates every vertex of G at least m times, and an m-dominating...
Wayne Goddard, Michael A. Henning
ENDM
2007
140views more  ENDM 2007»
13 years 7 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
ARSCOM
2006
140views more  ARSCOM 2006»
13 years 7 months ago
Expansion Properties Of Levi Graphs
ABSTRACT. The Levi graph of a balanced incomplete block design is the bipartite graph whose vertices are the points and blocks of the design, with each block adjacent to those poin...
Dominic Lanphier, C. Miller, Jason Rosenhouse, A. ...
DC
2010
13 years 7 months ago
An optimal maximal independent set algorithm for bounded-independence graphs
We present a novel distributed algorithm for the maximal independent set (MIS) problem.1 On bounded-independence graphs (BIG) our deterministic algorithm finishes in O(log n) time,...
Johannes Schneider, Roger Wattenhofer
SIAMDM
2010
167views more  SIAMDM 2010»
13 years 2 months ago
Domination Game and an Imagination Strategy
The domination game played on a graph G consists of two players, Dominator and Staller who alternate taking turns choosing a vertex from G such that whenever a vertex is chosen by...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall