Topological indices are not necessarily invariant to graph labeling
Each element of the Universal matrix U (vertex-degree vertex-distance weighted matrix) represents the mutual contribution of two vertices weighted for the vertex degrees and the distance between them. Regarding different labeling ways of graph vertices, particular matrix elements are not invariant t...
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| Format: | Article |
| Language: | English |
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Slovenian Chemical Society
2015-04-01
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| Series: | Acta Chimica Slovenica |
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| Online Access: | https://journals.matheo.si/index.php/ACSi/article/view/1164 |
| _version_ | 1818936074043392000 |
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| author | Anton Perdih |
| author_facet | Anton Perdih |
| author_sort | Anton Perdih |
| collection | DOAJ |
| description | Each element of the Universal matrix U (vertex-degree vertex-distance weighted matrix) represents the mutual contribution of two vertices weighted for the vertex degrees and the distance between them. Regarding different labeling ways of graph vertices, particular matrix elements are not invariant to molecular labeling. Regarding the structural features they are invariants since there are only particular vertex combinations representing particular structural features. Some of the matrix elements are the best descriptors of a physicochemical property in question. Some combinations of matrix elements are very good descriptors of physicochemical properties of octanes regardless how we enumerate their vertices. |
| first_indexed | 2024-12-20T05:30:16Z |
| format | Article |
| id | doaj.art-56938525d7034857bf1171df32c04851 |
| institution | Directory Open Access Journal |
| issn | 1318-0207 1580-3155 |
| language | English |
| last_indexed | 2024-12-20T05:30:16Z |
| publishDate | 2015-04-01 |
| publisher | Slovenian Chemical Society |
| record_format | Article |
| series | Acta Chimica Slovenica |
| spelling | doaj.art-56938525d7034857bf1171df32c048512022-12-21T19:51:46ZengSlovenian Chemical SocietyActa Chimica Slovenica1318-02071580-31552015-04-0162238538810.17344/acsi.2014.1164240Topological indices are not necessarily invariant to graph labelingAnton PerdihEach element of the Universal matrix U (vertex-degree vertex-distance weighted matrix) represents the mutual contribution of two vertices weighted for the vertex degrees and the distance between them. Regarding different labeling ways of graph vertices, particular matrix elements are not invariant to molecular labeling. Regarding the structural features they are invariants since there are only particular vertex combinations representing particular structural features. Some of the matrix elements are the best descriptors of a physicochemical property in question. Some combinations of matrix elements are very good descriptors of physicochemical properties of octanes regardless how we enumerate their vertices.https://journals.matheo.si/index.php/ACSi/article/view/1164Boiling pointOctanesUniversal matrixGraph-theoretical modeling |
| spellingShingle | Anton Perdih Topological indices are not necessarily invariant to graph labeling Acta Chimica Slovenica Boiling point Octanes Universal matrix Graph-theoretical modeling |
| title | Topological indices are not necessarily invariant to graph labeling |
| title_full | Topological indices are not necessarily invariant to graph labeling |
| title_fullStr | Topological indices are not necessarily invariant to graph labeling |
| title_full_unstemmed | Topological indices are not necessarily invariant to graph labeling |
| title_short | Topological indices are not necessarily invariant to graph labeling |
| title_sort | topological indices are not necessarily invariant to graph labeling |
| topic | Boiling point Octanes Universal matrix Graph-theoretical modeling |
| url | https://journals.matheo.si/index.php/ACSi/article/view/1164 |
| work_keys_str_mv | AT antonperdih topologicalindicesarenotnecessarilyinvarianttographlabeling |