UGC Approved Journal no 63975(19)

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Published in:

Volume 6 Issue 6
June-2019
eISSN: 2349-5162

UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975

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Published Paper ID:
JETIR1908411


Registration ID:
225858

Page Number

759-770

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Title

Accurate domination and Accurate total domination of some special graphs

Abstract

Let G = (V,E) be a simple, finite, undirected and connected graph. A non-empty subset D⊆V is a dominating set of G if every vertex in V-D is adjacent to atleast one vertex in D. The domination number γ(G) is the minimum cardinality taken over all the minimal dominating sets of G. A dominating set D is a total dominating set of G if the induced subgraph <D> has no isolated vertices. The total domination number γ_t (G) is the minimum cardinality taken over all the minimal total dominating sets of G. A total dominating set D⊆V is an accurate total dominating set of G if V-D has no total dominating set of |D|. The accurate total domination number γ_at (G) is the minimum cardinality taken over all the minimal accurate total dominating sets of G. In this paper, the values of γ_a (G) and γ_at (G) are obtained for some special graphs

Key Words

Dominating set, Total dominating set, Accurate dominating set, Accurate total dominating set, Accurate domination number and Accurate total domination number.

Cite This Article

"Accurate domination and Accurate total domination of some special graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.759-770, June 2019, Available :http://www.jetir.org/papers/JETIR1908411.pdf

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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Cite This Article

"Accurate domination and Accurate total domination of some special graphs", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp759-770, June 2019, Available at : http://www.jetir.org/papers/JETIR1908411.pdf

Publication Details

Published Paper ID: JETIR1908411
Registration ID: 225858
Published In: Volume 6 | Issue 6 | Year June-2019
DOI (Digital Object Identifier):
Page No: 759-770
Country: Vellore, Tamil Nadu, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication


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