Semi-strong split domination in graphs

الهيمنة المنقسمة شبه القوية في المخططات

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ID: 276294
2014
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Abstract
Given a graph $G = (V,E)$, a dominating set $D subseteq V$ is called a semi-strong split dominating set of $G$ if $|V setminus D| geq 1$ and the maximum degree of the subgraph induced by $V setminus D$ is 1. The minimum cardinality of a semi-strong split dominating set (SSSDS) of G is the semi-strong split domination number of G, denoted $gamma_{sss}(G)$. In this work, we introduce the concept and prove several results regarding it.
ليكن $G = (V,E)$ مخططاً، تُسمَّى المجموعة المسيطرة $D \subseteq V$ مجموعةً مسيطرةً مجزأةً شبه قوية للمخطط $G$ إذا كان $|V \setminus D| \geq 1$ وكانت الدرجة العظمى للمخطط الجزئي المستحث بواسطة $V \setminus D$ تساوي 1. وتُعدّ الأصلية الصغرى (أصغر عدد عناصر) لمجموعة مسيطرة مجزأة شبه قوية (SSSDS) للمخطط $G$ هي عدد السيطرة المجزأة شبه القوية للمخطط $G$، ويُرمز لها بالرمز $\gamma_{sss}(G)$. نُقدّم في هذا العمل هذا المفهوم ونُبرهن عدة نتائج تتعلق به.
Reference Key
alwardi2014semistrongtransactions Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Alwardi, Anwar;Ebadi, Karam;, Martin Manrique;Soner, Nsndappa;
Journal transactions on combinatorics
Year 2014
DOI
DOI not found
URL
http://www.combinatorics.ir/pdf_4857_edc54d4936fa07845b5179f7134b4379.html
Keywords
mathematics

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