Algebra and Discrete Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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)
References:
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}
Linking options:
  • https://www.mathnet.ru/eng/adm619
  • https://www.mathnet.ru/eng/adm/v24/i1/p71
  • 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
    Statistics & downloads:
    Abstract page:134
    Full-text PDF :93
    References:36
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024