UGC Approved Journal no 63975(19)
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ISSN: 2349-5162 | ESTD Year : 2014
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Published in:

Volume 8 Issue 8
August-2021
eISSN: 2349-5162

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Published Paper ID:
JETIR2108161


Registration ID:
313639

Page Number

b249-b254

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Title

Some distance-based topological indices of the strong product of a graph and a diameter two graph

Abstract

The strong product G ⊠ H of simple graphs G and H has vertex set V(G)×V(H) and edge set {(u,x)(v,y) : uv ∈ E(G) and xy ∈ E(H), or uv ∈ E(G) and x=y,or u=v and xy ∈ E(H)}. For a connected graph G, the Wiener index W(G)=1/2 ∑_(u,v∈V(G)) d_G (u,v), the hyper-Wiener index WW(G)=1/2 W(G)+1/4 ∑_(u,v∈V(G)) (d_G (u,v))^2, and the Harary index H(G)=1/2 ∑_(u,v∈V(G)) 1/(d_G (u,v)). In this paper, for a connected graph G, we calculate the exact values of Wiener index, hyper-Wiener index and Harary index of G⊠H_0, where H_0 is a graph of diameter 2.

Key Words

Wiener index, hyper-Wiener index, Harary index, Strong product, Diameter.

Cite This Article

"Some distance-based topological indices of the strong product of a graph and a diameter two graph", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 8, page no.b249-b254, August-2021, Available :http://www.jetir.org/papers/JETIR2108161.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

"Some distance-based topological indices of the strong product of a graph and a diameter two graph", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 8, page no. ppb249-b254, August-2021, Available at : http://www.jetir.org/papers/JETIR2108161.pdf

Publication Details

Published Paper ID: JETIR2108161
Registration ID: 313639
Published In: Volume 8 | Issue 8 | Year August-2021
DOI (Digital Object Identifier):
Page No: b249-b254
Country: Annamalainagar, Tamilnadu, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication


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