Open AccessOn Domination in Graphs
Author(s) -
Frank Göring,
Jochen Harant
Publication year - 2005
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1254
Subject(s) - mathematics , combinatorics , domination analysis , discrete mathematics , graph , vertex (graph theory)
For a finite undirected graph G on n vertices two continuous optimization problems taken over the n-dimensional cube are presented and it is proved that their optimum values equal the domination number γ of G. An efficient approximation method is developed and known upper bounds on γ are slightly improved.
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