On the Zagreb indices of the line graph and line cut-vertex graph of subdivision of unicyclic graphs
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911830663757824 |
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| author | Nagesh, H. M. |
| author_facet | Nagesh, H. M. |
| contents | The first Zagreb index $M_{1}(G)$ is equal to the sum of squares of the degrees of the vertices, and the second Zagreb index $M_{2}(G)$ is equal to the sum of the products of the degrees of pairs of adjacent vertices of the underlying molecular graph $G$. This paper aims to investigate the Zagreb indices and coindices of the line graph and line cut-vertex graph of a class of unicyclic graphs called cycle-star graph using the notion of subdivision. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05529 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Zagreb indices of the line graph and line cut-vertex graph of subdivision of unicyclic graphs Nagesh, H. M. Combinatorics The first Zagreb index $M_{1}(G)$ is equal to the sum of squares of the degrees of the vertices, and the second Zagreb index $M_{2}(G)$ is equal to the sum of the products of the degrees of pairs of adjacent vertices of the underlying molecular graph $G$. This paper aims to investigate the Zagreb indices and coindices of the line graph and line cut-vertex graph of a class of unicyclic graphs called cycle-star graph using the notion of subdivision. |
| title | On the Zagreb indices of the line graph and line cut-vertex graph of subdivision of unicyclic graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2404.05529 |