Graph dominance by rook domains for Znp and Zn3 × Zm2 graphs

 

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Bibliographische Detailangaben
Verfasser: Piza-Volio, Eduardo
Format: artículo original
Status:Versión publicada
Publikationsdatum:2004
Beschreibung:Described within is the problem of finding near-minimum dominating subsets of a given graph by rook domains. Specifically, we study the graphs of the kind Znp and Zn3×Zm2 and introduce a simulated annealing algorithm to compute upper bounds of the size of minimum dominating subsets. We demonstrate the effectiveness of the algorithm by comparing the results with a previously studied class of graphs, including the so-called “football pool” graphs and others. We give some new upper bounds for graphs of the kind Znp, with p ≥ 4. The codes of some dominating subsets are given in an appendix.
Land:Portal de Revistas UCR
Institution:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Sprache:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/243
Online Zugang:https://revistas.ucr.ac.cr/index.php/matematica/article/view/243
Stichwort:Graph domination
simulated annealing
football pool problem
combinatorics
Dominación de grafos
recocido simulado
problema de las apuestas en fútbol
combinatoria