Some More Results on at Most Twin Extendable Separated Domination Number of a Graphs
Previously, G. Mahadevan et. al., has invented the concept of At most twin Extendable separate Domination number of a graph and obtained many resluts. A set S ⊆ V is said to be At most twin extendable separated dominating set, if for every vertex υ ∈ V − S, 1 ⩽ | N (V) ∩ S| ⩽ 2 and < V − S > i...
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| Published in | Journal of physics. Conference series Vol. 1724; no. 1; pp. 12018 - 12026 |
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| Main Authors | , |
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| Abstract | Previously, G. Mahadevan et. al., has invented the concept of At most twin Extendable separate Domination number of a graph and obtained many resluts. A set S ⊆ V is said to be At most twin extendable separated dominating set, if for every vertex υ ∈ V − S, 1 ⩽ | N (V) ∩ S| ⩽ 2 and < V − S > is a perfect matching. The minimum cardinality taken over all At most twin extendable separated dominating sets is called At most twin extendable separated domination number of a graph and it is denoted by ATES (G). In this research paper, this number is evaluated for some intersting special types of graphs. |
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| AbstractList | Previously, G. Mahadevan et. al., has invented the concept of At most twin Extendable separate Domination number of a graph and obtained many resluts. A set S ⊆ V is said to be At most twin extendable separated dominating set, if for every vertex υ ∈ V − S, 1 ⩽ | N (V) ∩ S| ⩽ 2 and < V − S > is a perfect matching. The minimum cardinality taken over all At most twin extendable separated dominating sets is called At most twin extendable separated domination number of a graph and it is denoted by ATES (G). In this research paper, this number is evaluated for some intersting special types of graphs. Previously, G. Mahadevan et. al., has invented the concept of At most twin Extendable separate Domination number of a graph and obtained many resluts. A set S ⊆ V is said to be At most twin extendable separated dominating set, if for every vertex υ ∈ V − S , 1 ⩽ | N ( V ) ∩ S | ⩽ 2 and < V − S > is a perfect matching. The minimum cardinality taken over all At most twin extendable separated dominating sets is called At most twin extendable separated domination number of a graph and it is denoted by ATES (G). In this research paper, this number is evaluated for some intersting special types of graphs. |
| Author | Anuthiya, S. Mahadeven, G. |
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| Cites_doi | 10.1016/j.dam.2013.06.012 10.1016/j.dam.2014.05.035 |
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| References | Yang (JPCS_1724_1_012018bib3) 2014; 175 Mahadevan (JPCS_1724_1_012018bib6) Mahadevan (JPCS_1724_1_012018bib4) 2017; 117 Paulraj Joseph (JPCS_1724_1_012018bib1) 2006; XXXI M Chellalia (JPCS_1724_1_012018bib2) 2013; 161 Mahadevan (JPCS_1724_1_012018bib5) 2020; 9 |
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| SubjectTerms | [1, 2]-domination set AMS Subject classification: 05C69 At most twin extendable separated domination number Complementary perfect matching Graphs Physics Scientific papers |
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| Title | Some More Results on at Most Twin Extendable Separated Domination Number of a Graphs |
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