UGC Approved Journal no 63975(19)

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Volume 7 Issue 10
October-2020
eISSN: 2349-5162

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

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Published Paper ID:
JETIR2010441


Registration ID:
210462

Page Number

3392-3399

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Title

Total Outer Independent Geodetic Domination Number of a Graph

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Abstract

In this paper the concept of the total outer independent geodetic domination number of a graph G is introduced. An outer independent geodetic dominating set S  V(G) is said to be a total outer independent geodetic dominating set of G if the subgraph < S > has no isolated vertices. The minimum cardinality of a total outer independent geodetic dominating set is called the total outer independent geodetic domination number and is denoted by gtoi(G). Some general properties satisfied by this concept are studied. The total outer independent geodetic domination number of certain classes of graphs are determined. It is shown that for every pair m, n of integers with 3 ≤ m ≤ n, there exist a connected graph G of order n such that gtoi(G) = m. Also, it is shown that for any three integers p, q and r such that 2 ≤ p ≤ q  r there exists a connected graph G with g(G) = p , g(G) = q and gtoi (G) = r.

Key Words

: independent geodetic domination number, outer independent geodetic domination number.

Cite This Article

"Total Outer Independent Geodetic Domination Number of a Graph", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.7, Issue 10, page no.3392-3399, October-2020, Available :http://www.jetir.org/papers/JETIR2010441.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

"Total Outer Independent Geodetic Domination Number of a Graph", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.7, Issue 10, page no. pp3392-3399, October-2020, Available at : http://www.jetir.org/papers/JETIR2010441.pdf

Publication Details

Published Paper ID: JETIR2010441
Registration ID: 210462
Published In: Volume 7 | Issue 10 | Year October-2020
DOI (Digital Object Identifier):
Page No: 3392-3399
Country: KANYAKUMARI, TAMILNADU, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication


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