The minimal Randić energy of trees with given diameter

Yubin Gao, Wei Gao and Yanling Shao

Applied Mathematics and Computation, 2021, vol. 411, issue C

Abstract: Let G=(V(G),E(G)) be a graph with V(G)={v1,v2,⋯,vn}. The Randić matrix of G is an n×n matrix R(G)=(rij) with rij=1dG(vi)dG(vj) if vivj∈E(G), and rij=0 if vivj∉E(G), where dG(vi) is the degree of vi in G for i=1,2,⋯,n. The Randić energy of G is the sum of the absolute values of the eigenvalues of R(G).

Keywords: Tree; Energy; Randić matrix; Randić energy (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321005786

DOI: 10.1016/j.amc.2021.126489

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