Twin signed domination numbers in directed graphs
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Twin signed domination numbers in directed graphs
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| Creator |
Atapour, M.
Norouzian, S. Sheikholeslami, S.M. Volkmann, L. |
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| Description |
Let D=(V,A) be a finite simple directed graph (shortly digraph). A function f:V⟶{−1,1} is called a twin signed dominating function (TSDF) if f(N⁻[v])≥1 and f(N⁺[v])≥1 for each vertex v∈V. The twin signed domination number of D is γs*(D)=min{ω(f)∣f 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 γs*(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.
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| Date |
2019-06-18T10:24:09Z
2019-06-18T10:24:09Z 2017 |
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| Type |
Article
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| Identifier |
Twin signed domination numbers in directed graphs / M. Atapour, S. Norouzian, S.M. Sheikholeslami, L. Volkmann // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 71-89. — Бібліогр.: 10 назв. — англ.
1726-3255 2010 MSC:05C69. http://dspace.nbuv.gov.ua/handle/123456789/156254 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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