Spectra of M-bicone complement product of graphs

被引：0
作者：
R. Pavithra
R. Rajkumar
机构：
[1] The Gandhigram Rural Institute (Deemed to be University),Department of Mathematics
来源：
The Journal of Analysis | 2023年 / 31卷
关键词：
Graph products; Adjacency spectrum; Laplacian spectrum; Signless Laplacian spectrum; Cospectral graphs; 05C50; 05C76;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce a graph product, namely, M-bicone complement product and determine the generalized characteristic polynomial of the graphs obtained from this product. Consequently, we obtain the characteristic polynomial of the adjacency martix, the Laplacian matrix and the signless Laplacian matrix of these graphs. Also, from these results, we deduce the L-spectra of some significant families of M-bicone complement product of graphs. As an application, we construct infinite pairs of L-cospectral graphs.
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页码：1587 / 1615
页数：28
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共 44 条
[1]  
Cardoso DM(2013)Spectra of graphs obtained by a generalization of the join graph operation Discrete Math. 313 733-741
[2]  
de Freitas MA(2019)The characteristic polynomial of generalized join of graphs Appl. Math. Comput. 348 456-464
[3]  
Martins EA(2012)The spectrum and the signless Laplacian spectrum of coronae Linear Algebra Appl. 437 1692-1703
[4]  
Robbiano M(2019)Adjacency and Laplacian spectra of variants of neighbourhood corona of graphs constrained by vertex subsets Discrete Math. Algorithms Appl. 11 1950073-34
[5]  
Chen Y(2021)Spectra of partitioned matrices and the Ricerche Mat. 34 2050179-1007
[6]  
Chen H(2020)-join of graphs Modern Phys. Lett. B 10 23-1255
[7]  
Cui SY(2018)Study on adjacency spectrum of two kinds of joins of graphs Discrete Math. Algorithm Appl. 5 998-205
[8]  
Tian GX(2018)Spectra of the generalized edge corona of graphs Algebr. Struct. Appl. 435 1850074-1076
[9]  
Gayathri M(2011)Spectra of some new extended corona Linear Algebra Appl. 10 2150114-26
[10]  
Rajkumar R(2018)Spectra of coronae Discrete Math. Algorithms Appl. 14 1235-1566
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