Normalized Laplacian spectrum of some subdivision-coronas of two regular graphs

被引：6

作者：

Das, Arpita ^{[1
]}

Panigrahi, Pratima ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur, W Bengal, India

来源：

LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 05期

关键词：

Normalized Laplacian matrix; subdivision-vertex corona; subdivision-edgecorona; subdivision-vertex neighbourhood corona; subdivision-edge neighbourhood corona;

D O I：

10.1080/03081087.2016.1217976

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we determine the full normalized Laplacian spectrum of the subdivision-vertex corona, subdivision-edge corona, subdivisionvertex neighbourhood corona and subdivision-edge neighbourhood corona of a connected regular graphwith an arbitrary regular graph in terms of their normalized Laplacian eigenvalues. Moreover, applying these results, we find some non-regular normalized Laplacian cospectral graphs.

引用

页码：962 / 972

页数：11

共 48 条

[1] Normalized Laplacian Spectrum of Some R-Coronas of Two Regular Graphs
Das, Arpita
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SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2018, 42 (06) : 833 - 844
[2] Normalized Laplacian spectrum of some subdivision-joins and R-joins of two regular graphs
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[3] Normalized Laplacian Spectra of Two Subdivision-coronae of Three Regular Graphs
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[5] The Normalized Laplacian Spectrum of Subdivision Vertex-Edge Corona for Graphs
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[6] The distance Laplacian and distance signless Laplacian spectrum of the subdivision-vertex join and subdivision-edge join of two regular graphs
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[7] Distance spectrum and distance (signless) Laplacian spectrum of some subdivision graphs
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UTILITAS MATHEMATICA, 2020, 117 : 99 - 106
[8] ON THE NORMALIZED LAPLACIAN SPECTRUM OF A NEW JOIN OF TWO GRAPHS
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[9] On the normalized Laplacian spectrum of the comaximal graphs
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ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (05)
[10] The distance spectrum of the subdivision vertex join and subdivision edge join of two regular graphs
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DISCRETE MATHEMATICS LETTERS, 2019, 1 : 36 - 41

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