Mostar index of graphs associated to groups
A bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as compared to the other end vertex. In this study, we c...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-08-01
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| Series: | Main Group Metal Chemistry |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/mgmc-2022-0015 |
| _version_ | 1797998599040139264 |
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| author | Rehman Masood Ur Salman Muhammad Khan Sheraz Maden Ayse Dilek Ali Faisal |
| author_facet | Rehman Masood Ur Salman Muhammad Khan Sheraz Maden Ayse Dilek Ali Faisal |
| author_sort | Rehman Masood Ur |
| collection | DOAJ |
| description | A bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as compared to the other end vertex. In this study, we count the contribution of peripheral edges in commuting, non-commuting, and non-conjugate graphs associated to the dihedral and semi-dihedral groups. In fact, we compute the Mostar index of these graphs. |
| first_indexed | 2024-04-11T10:51:16Z |
| format | Article |
| id | doaj.art-a114c24f3eb049d79aec6b52c8ee0354 |
| institution | Directory Open Access Journal |
| issn | 2191-0219 |
| language | English |
| last_indexed | 2024-04-11T10:51:16Z |
| publishDate | 2022-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Main Group Metal Chemistry |
| spelling | doaj.art-a114c24f3eb049d79aec6b52c8ee03542022-12-22T04:28:55ZengDe GruyterMain Group Metal Chemistry2191-02192022-08-0145112413510.1515/mgmc-2022-0015Mostar index of graphs associated to groupsRehman Masood Ur0Salman Muhammad1Khan Sheraz2Maden Ayse Dilek3Ali Faisal4Department of Mathematics, Faculty of Science, Selcuk University, Konya 42005, TurkeyDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, PakistanDepartment of Mathematics, Faculty of Science, Selcuk University, Konya 42005, TurkeyCenter for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Multan 60800, PakistanA bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as compared to the other end vertex. In this study, we count the contribution of peripheral edges in commuting, non-commuting, and non-conjugate graphs associated to the dihedral and semi-dihedral groups. In fact, we compute the Mostar index of these graphs.https://doi.org/10.1515/mgmc-2022-0015distancemostar indexgroupcommuting graphnon-commuting graphnon-conjugate graph05c0905c1220e45 |
| spellingShingle | Rehman Masood Ur Salman Muhammad Khan Sheraz Maden Ayse Dilek Ali Faisal Mostar index of graphs associated to groups Main Group Metal Chemistry distance mostar index group commuting graph non-commuting graph non-conjugate graph 05c09 05c12 20e45 |
| title | Mostar index of graphs associated to groups |
| title_full | Mostar index of graphs associated to groups |
| title_fullStr | Mostar index of graphs associated to groups |
| title_full_unstemmed | Mostar index of graphs associated to groups |
| title_short | Mostar index of graphs associated to groups |
| title_sort | mostar index of graphs associated to groups |
| topic | distance mostar index group commuting graph non-commuting graph non-conjugate graph 05c09 05c12 20e45 |
| url | https://doi.org/10.1515/mgmc-2022-0015 |
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