Distance spectra of some graph operations and some new distance equienergetic graphs of diameter 3

C. Adiga; B. R. Rakshith; Sumithra

Distance spectra of some graph operations and some new distance equienergetic graphs of diameter 3

C. Adiga^*
, B. R. Rakshith
, Sumithra

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Two graphs of same order are said to be distance equienergetic if their distance energies are same. In this paper, we first give a partial insight on the distance spectrum of Mycielskian graphs and then we focus on constructing distance equienergetic graphs by introducing three new graph operations. As an application of our results, we construct some new class of distance equinergetic graphs of diameter 3 on 18+2n vertices for all n ≥ 1.

Original language	English
Pages (from-to)	581-588
Number of pages	8
Journal	Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Volume	9
Issue number	3
Publication status	Published - 2019

All Science Journal Classification (ASJC) codes

Statistics and Probability
Numerical Analysis
Mathematical Physics
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics
Applied Mathematics

Cite this

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title = "Distance spectra of some graph operations and some new distance equienergetic graphs of diameter 3",

abstract = "Two graphs of same order are said to be distance equienergetic if their distance energies are same. In this paper, we first give a partial insight on the distance spectrum of Mycielskian graphs and then we focus on constructing distance equienergetic graphs by introducing three new graph operations. As an application of our results, we construct some new class of distance equinergetic graphs of diameter 3 on 18+2n vertices for all n ≥ 1.",

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AU - Adiga, C.

AU - Rakshith, B. R.

AU - Sumithra,

PY - 2019

Y1 - 2019

N2 - Two graphs of same order are said to be distance equienergetic if their distance energies are same. In this paper, we first give a partial insight on the distance spectrum of Mycielskian graphs and then we focus on constructing distance equienergetic graphs by introducing three new graph operations. As an application of our results, we construct some new class of distance equinergetic graphs of diameter 3 on 18+2n vertices for all n ≥ 1.

AB - Two graphs of same order are said to be distance equienergetic if their distance energies are same. In this paper, we first give a partial insight on the distance spectrum of Mycielskian graphs and then we focus on constructing distance equienergetic graphs by introducing three new graph operations. As an application of our results, we construct some new class of distance equinergetic graphs of diameter 3 on 18+2n vertices for all n ≥ 1.

UR - https://www.scopus.com/pages/publications/85111308769

UR - https://www.scopus.com/pages/publications/85111308769#tab=citedBy

M3 - Article

AN - SCOPUS:85111308769

SN - 2146-1147

VL - 9

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JO - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

JF - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

IS - 3

ER -

Distance spectra of some graph operations and some new distance equienergetic graphs of diameter 3

Abstract

All Science Journal Classification (ASJC) codes

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