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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/609208 |
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| author | Jianping Liu Jinsong Chen |
| author_facet | Jianping Liu Jinsong Chen |
| author_sort | Jianping Liu |
| collection | DOAJ |
| 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]. |
| format | Article |
| id | doaj-art-e051801c47db4aaf875bd1a7cabb98f0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e051801c47db4aaf875bd1a7cabb98f02025-02-03T01:24:06ZengWileyAbstract 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 |
| spellingShingle | Jianping Liu Jinsong Chen Further Properties of Trees with Minimal Atom-Bond Connectivity Index Abstract and Applied Analysis |
| title | 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_short | Further Properties of Trees with Minimal Atom-Bond Connectivity Index |
| title_sort | further properties of trees with minimal atom bond connectivity index |
| url | http://dx.doi.org/10.1155/2014/609208 |
| work_keys_str_mv | AT jianpingliu furtherpropertiesoftreeswithminimalatombondconnectivityindex AT jinsongchen furtherpropertiesoftreeswithminimalatombondconnectivityindex |