On locating-domination in graphs

• Autorzy: Mustapha Chellali , Malika Mimouni , Peter J. Slater
• Języki publikacji: EN

Abstrakty

EN

A set D of vertices in a graph G = (V,E) is a locating-dominating set (LDS) if for every two vertices u,v of V-D the sets N(u)∩ D and N(v)∩ D are non-empty and different. The locating-domination number $γ_L(G)$ is the minimum cardinality of a LDS of G, and the upper locating-domination number, $Γ_L(G)$ is the maximum cardinality of a minimal LDS of G. We present different bounds on $Γ_L(G)$ and $γ_L(G)$.

Słowa kluczowe

EN

upper locating-domination number; locating-domination number

Kategorie tematyczne

• 05C69: Dominating sets, independent sets, cliques

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2010
• Tom: 30
• Numer: 2
• Strony: 223-235

Daty

wydano

2010

otrzymano

2008-12-16

poprawiono

2009-06-08

zaakceptowano

2009-06-08

Twórcy

autor

Mustapha Chellali

• LAMDA-RO Laboratory, Department of Mathematics, University of Blida, B.P. 270, Blida, Algeria

autor

Malika Mimouni

• LAMDA-RO Laboratory, Department of Mathematics, University of Blida, B.P. 270, Blida, Algeria

autor

Peter J. Slater

• Department of Mathematics and Computer Science Department, University of Alabama in Huntsville, Huntsville, AL 35899 USA

Bibliografia

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• [9] T.W. Haynes, S.T. Hedetniemi and P.J. Slater (eds), Domination in Graphs: Advanced Topics (Marcel Dekker, New York, 1998).
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Identyfikatory

DOI

10.7151/dmgt.1488