Spectrum of corona products based on splitting graphs

被引：1

作者：

Thomas, Ann Susa ^{[1
,2
]}

Kalayathankal, Sunny Joseph ^{[3
]}

Kureethara, Joseph Varghese ^{[4
]}

机构：

[1] Catholicate Coll Pathanamthitta, Dept Math, Pathanamthitta 689645, Kerala, India

[2] St Thomas Coll, Dept Math, Kozhencherry 689641, Kerala, India

[3] Jyothi Engn Coll, Trichur 679531, Kerala, India

[4] Christ Univ, Dept Math, Bangalore 560029, Karnataka, India

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2023年 / 15卷 / 03期

关键词：

Corona product; splitting graph; adjacency spectrum; Laplacian spectrum;

D O I：

10.1142/S1793830922500872

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a simple undirected graph. Three new corona products of graphs based on splitting graph of G are defined. The adjacency spectra of the three new graphs based on splitting graph of G are determined. The number of spanning trees and the Kirchoff index of the new graphs are determined using their nonzero Laplacian eigenvalues.

引用

页数：12

共 9 条

[1] The spectrum of the corona of two graphs [J].

Barik, S. ;

Pati, S. ;

Sarma, B. K. .

SIAM JOURNAL ON DISCRETE MATHEMATICS, 2007, 21 (01) :47-56

[2]

Cvetkovi D., 1980, Spectra of Graphs-Theory and Application

[3]

Frucht R., 1970, Aequ. Math., V4, P322, DOI DOI 10.1007/BF01844162

[4]

Gopalapillai I, 2011, KRAGUJEV J MATH, V35, P493

[5] RESISTANCE DISTANCE [J].

KLEIN, DJ ;

RANDIC, M .

JOURNAL OF MATHEMATICAL CHEMISTRY, 1993, 12 (1-4) :81-95

[6] THE LAPLACIAN SPECTRUM OF CORONA OF TWO GRAPHS [J].

Liu, Qun .

KRAGUJEVAC JOURNAL OF MATHEMATICS, 2014, 38 (01) :163-170

[7] Spectra of coronae [J].

McLeman, Cam ;

McNicholas, Erin .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (05) :998-1007

[8]

Sampathkumar E., 1980, Karnatak Univ. Sci, V25-26, P13

[9]

Varghese R. P., 2017, International Journal of Machine Intelligence and Applications, V5, P395

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