The generalized path matrix and energy

doi:10.1142/S1793830922500719

	The generalized path matrix and energy
	Lu, Pengli; Luan, Rui
	2023-02
发表期刊	DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS
ISSN	1793-8309
卷号	15 期号:2
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.
关键词	Generalized path matrix path matrix generalized path energy spectral radius transmission regular graph
DOI	10.1142/S1793830922500719
收录类别	ESCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000848620100001
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
来源库	WOS
引用统计	无
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/159868
专题	兰州理工大学
通讯作者	Lu, Pengli
作者单位	Lanzhou Univ Technol, Sch Comp & Commun, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	兰州理工大学
通讯作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
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,2023,15(2).
APA	Lu, Pengli,&Luan, Rui.(2023).The generalized path matrix and energy.DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS,15(2).
MLA	Lu, Pengli,et al."The generalized path matrix and energy".DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS 15.2(2023).