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http://hdl.handle.net/10397/1261
Title: | An application of the Turán theorem to domination in graphs | Authors: | Shan, E Cheng, TCE Kang, L |
Issue Date: | 28-Jul-2008 | Source: | Discrete applied mathematics, 28 July 2008, v. 156, no. 14, p. 2712–2718 | Abstract: | A function f:V(G)→{+1,−1} defined on the vertices of a graph G is a signed dominating function if for any vertex v the sum of function values over its closed neighborhood is at least 1. The signed domination number γs(G) of G is the minimum weight of a signed dominating function on G. By simply changing “{+1,−1}” in the above definition to “{+1,0,−1}”, we can define the minus dominating function and the minus domination number of G. In this note, by applying the Turán theorem, we present sharp lower bounds on the signed domination number for a graph containing no (k+1)-cliques. As a result, we generalize a previous result due to Kang et al. on the minus domination number of k-partite graphs to graphs containing no (k+1)-cliques and characterize the extremal graphs. | Keywords: | Turán theorem Minus domination Signed domination Clique |
Publisher: | Elsevier | Journal: | Discrete applied mathematics | ISSN: | 0166-218X | DOI: | 10.1016/j.dam.2007.11.008 | Rights: | Discrete Applied Mathematics © 2007 Elsevier B.V. The journal web site is located at http://www.sciencedirect.com. |
Appears in Collections: | Journal/Magazine Article |
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An application of Turan theorem to domination in graphs1.pdf | Pre-published version | 248.76 kB | Adobe PDF | View/Open |
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