Multi-distance granularity structural α-subtree index of generalized Bethe trees

Yu Yang, Ai-wan Fan, Hua Wang, Hailian Lv and Xiao-Dong Zhang

Applied Mathematics and Computation, 2019, vol. 359, issue C, 107-120

Abstract: In graph theory and its applications, trees, BC-trees, subtrees and BC-subtrees have been extensively studied. We introduce a generalization of the BC-tree, called the multi-granular α-tree, which is a tree (of order at least α+1) where any two leaves are at a distance that is a multiple of α. We study the number of α-subtrees, through α-subtree generating functions, for generalized Bethe trees, Bethe trees and dendrimers (hyper-branched structures in molecular topology). Our results can also be used to examine the asymptotic behavior of the average order of α-subtrees in dendrimers.

Keywords: α-subtree; Generating function; Generalized Bethe tree; Bethe tree; Dendrimer; α-subtree density (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:359:y:2019:i:c:p:107-120

DOI: 10.1016/j.amc.2019.04.037

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