The generalized path matrix and energy

doi:10.1142/S1793830922500719

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	The generalized path matrix and energy
	Lu, Pengli; Luan, Rui
刊名	DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
	2022-03-01
关键词	Generalized path matrix path matrix generalized path energy spectral radius transmission regular graph
ISSN号	1793-8309
DOI	10.1142/S1793830922500719
英文摘要	We define the path Laplacian matrix and the path signless Laplacian matrix of a simple connected graph G as P-L (G) = Tr-P (G) - P(G) and P-Q (G) = Tr-P (G) + P(G), respectively, where P(G) is the path matrix and Tr-P (G) is the diagonal matrix of the vertex transmissions. The generalized path matrix is P-alpha(G) = alpha Tr-P (G) + (1 - alpha)P(G), for 0 <= alpha <= 1 and rho(alpha)(1) >= rho(alpha)(2) >= ... >= rho(alpha)(n) are the eigenvalues of P-alpha(G). The generalized path energy can be expressed as E-P alpha (G) = Sigma(n)(i=1) vertical bar rho(alpha)(i) - 2 alpha PW(G)/n vertical bar, where PW(G) is the path Wiener index of G. We give basic properties of generalized path matrix P-alpha(G). Also, some upper and lower bounds of the generalized path energy of some graphs are studied.
WOS研究方向	Mathematics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000848620100001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/159868]
专题	兰州理工大学
作者单位	Lanzhou Univ Technol, Sch Comp & Commun, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Lu, Pengli,Luan, Rui. The generalized path matrix and energy[J]. DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS,2022.
APA	Lu, Pengli,&Luan, Rui.(2022).The generalized path matrix and energy.DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS.
MLA	Lu, Pengli,et al."The generalized path matrix and energy".DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS (2022).