Further Properties of Trees with Minimal Atom-Bond Connectivity Index

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,014, pages 1-10 (issn: 1085-3375, eissn: 1687-0409,

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Authors: Liu, Jianping; Chen, Jinsong;

doi: 10.1155/2014/609208

Further Properties of Trees with Minimal Atom-Bond Connectivity Index

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Abstract

LetG=(V,E)be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights((du+dv-2)/dudv)1/2over all edgesuvofG, wheredudenotes the degree of a vertexuofG. In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized the trees withdia[T]=2and minimal ABC index, where[T]is induced by the vertices of degree greater than 2 inTanddia[T]is the diameter of[T].

Related Organizations

Fuzhou University
China (People's Republic of)

Keywords

QA1-939, Vertex degrees, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Mathematics, Trees

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