Notes on topological indices of graph and its complement
In this note, we derive the lower bound on the sum for Wiener index of bipartite graph and its bipartite complement, as well as the lower and upper bounds on this sum for the Randić index and Zagreb indices. We also discuss the quality of these bounds.
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AGH Univeristy of Science and Technology Press
2013-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol33/1/art/opuscula_math_3306.pdf |
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doaj-d86df2202f1c414686027d337455e85b2020-11-24T22:39:28ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742013-01-01331107115http://dx.doi.org/10.7494/OpMath.2013.33.1.1073306Notes on topological indices of graph and its complementTomáš Madaras0Martina Mockovčiaková1University of P. J. Šafárik, Institute of Mathematics, Faculty of Science, Jesenná 5, 041 54 Košice, Slovak RepublicUniversity of P. J. Šafárik, Institute of Mathematics, Faculty of Science, Jesenná 5, 041 54 Košice, Slovak RepublicIn this note, we derive the lower bound on the sum for Wiener index of bipartite graph and its bipartite complement, as well as the lower and upper bounds on this sum for the Randić index and Zagreb indices. We also discuss the quality of these bounds.http://www.opuscula.agh.edu.pl/vol33/1/art/opuscula_math_3306.pdfWiener indexZagreb indexRandić indexbipartite graphbipartite complement |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tomáš Madaras Martina Mockovčiaková |
| spellingShingle |
Tomáš Madaras Martina Mockovčiaková Notes on topological indices of graph and its complement Opuscula Mathematica Wiener index Zagreb index Randić index bipartite graph bipartite complement |
| author_facet |
Tomáš Madaras Martina Mockovčiaková |
| author_sort |
Tomáš Madaras |
| title |
Notes on topological indices of graph and its complement |
| title_short |
Notes on topological indices of graph and its complement |
| title_full |
Notes on topological indices of graph and its complement |
| title_fullStr |
Notes on topological indices of graph and its complement |
| title_full_unstemmed |
Notes on topological indices of graph and its complement |
| title_sort |
notes on topological indices of graph and its complement |
| publisher |
AGH Univeristy of Science and Technology Press |
| series |
Opuscula Mathematica |
| issn |
1232-9274 |
| publishDate |
2013-01-01 |
| description |
In this note, we derive the lower bound on the sum for Wiener index of bipartite graph and its bipartite complement, as well as the lower and upper bounds on this sum for the Randić index and Zagreb indices. We also discuss the quality of these bounds. |
| topic |
Wiener index Zagreb index Randić index bipartite graph bipartite complement |
| url |
http://www.opuscula.agh.edu.pl/vol33/1/art/opuscula_math_3306.pdf |
| work_keys_str_mv |
AT tomasmadaras notesontopologicalindicesofgraphanditscomplement AT martinamockovciakova notesontopologicalindicesofgraphanditscomplement |
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1725708745744318464 |