k-perfect geodominating sets in graphs

A perfect geodominating set in a graph \(G\) is a geodominating set \(S\) such that any vertex \(v \in V(G)\setminus S\) is geodominated by exactly one pair of vertices of \(S\). A \(k\)-perfect geodominating set is a geodominating set \(S\) such that any vertex \(v \in V(G)\setminus S\) is geodomin...

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Bibliographic Details
Main Authors: Doost Ali Mojdeh, Nader Jafari Rad
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2007-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol27/1/art/opuscula_math_2705.pdf