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Algebra and Discrete Mathematics, 2017, Volume 24, Issue 1, Pages 71–89 (Mi adm619)  

This article is cited in 2 scientific papers (total in 2 papers)

Twin signed domination numbers in directed graphs

M. Atapoura, S. Norouzianb, S. M. Sheikholeslamib, L. Volkmannc

a Department of Mathematics, University of Bonab, Bonab, I.R. Iran
b Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I.R. Iran
c RWTH Aachen University, 52056 Aachen, Germany
Full-text PDF (388 kB) Citations (2)
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Abstract: Let $D=(V,A)$ be a finite simple directed graph (shortly digraph). A function $f\colon V\to \{-1,1\}$ is called a twin signed dominating function (TSDF) if $f(N^-[v])\ge 1$ and $f(N^+[v])\ge 1$ for each vertex $v\in V$. The twin signed domination number of $D$ is $\gamma_{s}^*(D)=\min\{\omega(f)\mid f \text{ is a TSDF of } D\}$. In this paper, we initiate the study of twin signed domination in digraphs and we present sharp lower bounds for $\gamma_{s}^*(D)$ in terms of the order, size and maximum and minimum indegrees and outdegrees. Some of our results are extensions of well-known lower bounds of the classical signed domination numbers of graphs.
Keywords: twin signed dominating function, twin signed domination number, directed graph.
Received: 21.09.2015
Revised: 10.11.2015
Bibliographic databases:
Document Type: Article
MSC: 05C69
Language: English
Citation: M. Atapour, S. Norouzian, S. M. Sheikholeslami, L. Volkmann, “Twin signed domination numbers in directed graphs”, Algebra Discrete Math., 24:1 (2017), 71–89
Citation in format AMSBIB
\Bibitem{AtaNorShe17}
\by M.~Atapour, S.~Norouzian, S.~M.~Sheikholeslami, L.~Volkmann
\paper Twin signed domination numbers in directed graphs
\jour Algebra Discrete Math.
\yr 2017
\vol 24
\issue 1
\pages 71--89
\mathnet{http://mi.mathnet.ru/adm619}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000416842300005}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Algebra and Discrete Mathematics
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    References:35
     
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