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10 years 4 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
10 years 4 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
10 years 4 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
155views more  TPDS 2002»
10 years 6 months ago
Extended Dominating-Set-Based Routing in Ad Hoc Wireless Networks with Unidirectional Links
Efficient routing among a set of mobile hosts (also called nodes) is one of the most important functions in ad hoc wireless networks. Routing based on a connected dominating set is...
Jie Wu
144views Education» more  CORR 2002»
10 years 6 months ago
Polynomial Time Data Reduction for Dominating Set
Dealing with the NP-complete Dominating Set problem on graphs, we demonstrate the power of data reduction by preprocessing from a theoretical as well as a practical side. In parti...
Jochen Alber, Michael R. Fellows, Rolf Niedermeier
97views more  JCO 2007»
10 years 6 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
125views more  TMC 2008»
10 years 6 months ago
Distributed Algorithm for Efficient Construction and Maintenance of Connected k-Hop Dominating Sets in Mobile Ad Hoc Networks
A k-hop dominating set is a subset of nodes such that each node not in the set can be reached within k hops from at least one node in the set. A connected k-hop dominating set can ...
Hong-Yen Yang, Chia-Hung Lin, Ming-Jer Tsai
122views more  ADHOC 2005»
10 years 6 months ago
Maintaining weakly-connected dominating sets for clustering ad hoc networks
An ad hoc network is a multihop wireless communication network supporting mobile users. Network performance degradation is a major problem as the network becomes larger. Clusterin...
Yuanzhu Peter Chen, Arthur L. Liestman
94views more  PPL 2008»
10 years 6 months ago
Self-Stabilizing Graph Protocols
We provide self-stabilizing algorithms to obtain and maintain a maximal matching, maximal independent set or minimal dominating set in a given system graph. They converge in linea...
Wayne Goddard, Stephen T. Hedetniemi, David Pokras...
134views more  DM 2006»
10 years 6 months ago
Simultaneous graph parameters: Factor domination and factor total domination
Let F1, F2, . . . , Fk be graphs with the same vertex set V . A subset S V is a factor dominating set if in every Fi every vertex not in S is adjacent to a vertex in S, and a fac...
Peter Dankelmann, Michael A. Henning, Wayne Goddar...