Further Properties of Trees with Minimal Atom-Bond Connectivity Index

Further Properties of Trees with Minimal Atom-Bond Connectivity Index

Let G=(V,E) be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights ((du+dv-2)/dudv)1/2 over all edges uv of G, where du denotes the degree of a vertex u of G. In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized...

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Main Authors: Jianping Liu, Jinsong Chen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/609208
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spelling doaj-e051801c47db4aaf875bd1a7cabb98f02020-11-24T20:58:07ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/609208609208Further Properties of Trees with Minimal Atom-Bond Connectivity IndexJianping Liu0Jinsong Chen1College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, ChinaLet G=(V,E) be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights ((du+dv-2)/dudv)1/2 over all edges uv of G, where du denotes the degree of a vertex u of G. In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized the trees with dia[T]=2 and minimal ABC index, where [T] is induced by the vertices of degree greater than 2 in T and dia[T] is the diameter of [T].http://dx.doi.org/10.1155/2014/609208
collection DOAJ
language English
format Article
sources DOAJ
author Jianping Liu
Jinsong Chen
spellingShingle Jianping Liu
Jinsong Chen
Further Properties of Trees with Minimal Atom-Bond Connectivity Index
Abstract and Applied Analysis
author_facet Jianping Liu
Jinsong Chen
author_sort Jianping Liu
title Further Properties of Trees with Minimal Atom-Bond Connectivity Index
title_short Further Properties of Trees with Minimal Atom-Bond Connectivity Index
title_full Further Properties of Trees with Minimal Atom-Bond Connectivity Index
title_fullStr Further Properties of Trees with Minimal Atom-Bond Connectivity Index
title_full_unstemmed Further Properties of Trees with Minimal Atom-Bond Connectivity Index
title_sort further properties of trees with minimal atom-bond connectivity index
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description Let G=(V,E) be a graph the atom-bond connectivity (ABC) index is defined as the sum of weights ((du+dv-2)/dudv)1/2 over all edges uv of G, where du denotes the degree of a vertex u of G. In this paper, we determined a few structural features of the trees with minimal ABC index also we characterized the trees with dia[T]=2 and minimal ABC index, where [T] is induced by the vertices of degree greater than 2 in T and dia[T] is the diameter of [T].
url http://dx.doi.org/10.1155/2014/609208
work_keys_str_mv AT jianpingliu furtherpropertiesoftreeswithminimalatombondconnectivityindex
AT jinsongchen furtherpropertiesoftreeswithminimalatombondconnectivityindex
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