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Some More Results on at Most Twin Extendable Separated Domination Number of a Graphs

Authors :
G. Mahadeven
S. Anuthiya
Source :
Journal of Physics: Conference Series. 1724:012018
Publication Year :
2021
Publisher :
IOP Publishing, 2021.

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.

Details

ISSN :
17426596 and 17426588
Volume :
1724
Database :
OpenAIRE
Journal :
Journal of Physics: Conference Series
Accession number :
edsair.doi...........c14aed4e828b8730deb27b507a55b795