First and Second Zagreb Coindices for Chains of Cycles
Abstract—The graphs which are used in this paper are simple, finite and undirected. The first and second Zagreb indices for every non-adjacent vertices (also called first and second Zagreb coindices) are dependent only on the non-adjacent vertices degrees which interspersed the operations...
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| Format: | Article |
| Language: | English |
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Mosul University
2023-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_179460_afbdbcb987295350d076944f46acf064.pdf |
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| _version_ | 1849468792582701056 |
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| author | Ammar Waadallah Ahmed Ali |
| author_facet | Ammar Waadallah Ahmed Ali |
| author_sort | Ammar Waadallah |
| collection | DOAJ |
| description | Abstract—The graphs which are used in this paper are simple, finite and undirected. The first and second Zagreb indices for every non-adjacent vertices (also called first and second Zagreb coindices) are dependent only on the non-adjacent vertices degrees which interspersed the operations of addition and multiplication, respectively, for the degrees of non-adjacent vertices. The number of the edges incident on vertex v in a graph G is called the degree of a vertex v and the two vertices u and v are non-adjacent if it’s no common edge between them. In this paper, we found the first and second Zagreb coindices of chains of even cycles and also, gave some examples. |
| format | Article |
| id | doaj-art-f45954ee1f5a4eb298014eb31ecf4d75 |
| institution | Kabale University |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-f45954ee1f5a4eb298014eb31ecf4d752025-08-20T03:25:45ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902023-06-01171172210.33899/csmj.2023.179460179460First and Second Zagreb Coindices for Chains of CyclesAmmar Waadallah0Ahmed Ali1College of Computer Science and Mathematics University of Mosul Mosul, IraqCollege of Computer Sciences and Mathematics University of Mosul, Mosul, IraqAbstract—The graphs which are used in this paper are simple, finite and undirected. The first and second Zagreb indices for every non-adjacent vertices (also called first and second Zagreb coindices) are dependent only on the non-adjacent vertices degrees which interspersed the operations of addition and multiplication, respectively, for the degrees of non-adjacent vertices. The number of the edges incident on vertex v in a graph G is called the degree of a vertex v and the two vertices u and v are non-adjacent if it’s no common edge between them. In this paper, we found the first and second Zagreb coindices of chains of even cycles and also, gave some examples.https://csmj.mosuljournals.com/article_179460_afbdbcb987295350d076944f46acf064.pdffirst zagreb coindexsecond zagreb conidexidenticaleven cycle |
| spellingShingle | Ammar Waadallah Ahmed Ali First and Second Zagreb Coindices for Chains of Cycles Al-Rafidain Journal of Computer Sciences and Mathematics first zagreb coindex second zagreb conidex identical even cycle |
| title | First and Second Zagreb Coindices for Chains of Cycles |
| title_full | First and Second Zagreb Coindices for Chains of Cycles |
| title_fullStr | First and Second Zagreb Coindices for Chains of Cycles |
| title_full_unstemmed | First and Second Zagreb Coindices for Chains of Cycles |
| title_short | First and Second Zagreb Coindices for Chains of Cycles |
| title_sort | first and second zagreb coindices for chains of cycles |
| topic | first zagreb coindex second zagreb conidex identical even cycle |
| url | https://csmj.mosuljournals.com/article_179460_afbdbcb987295350d076944f46acf064.pdf |
| work_keys_str_mv | AT ammarwaadallah firstandsecondzagrebcoindicesforchainsofcycles AT ahmedali firstandsecondzagrebcoindicesforchainsofcycles |