Book ; Online: On the degree-Kirchhoff index, Gutman index and the Schultz index of pentagonal cylinder/ M\"{o}bius chain
2023
Abstract: The degree-Kirchhoff index of a graph is given by the sum of inverses of non-zero eigenvalues of the normalized Laplacian matrix of the graph multiplied with the total degree of the graph. Explicit formulas for the degree-Kirchhoff index of various types ...
Abstract | The degree-Kirchhoff index of a graph is given by the sum of inverses of non-zero eigenvalues of the normalized Laplacian matrix of the graph multiplied with the total degree of the graph. Explicit formulas for the degree-Kirchhoff index of various types of cylinder chain and M\"{o}bius chain have been obtained by many researchers in the recent past. In the present paper, we obtain closed-form formulas for the degree-Kirchhoff index of pentagonal cylinder/ M\"{o}bius chain. Also we find here the Gutman index and the Schultz index for those graphs. |
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Keywords | Mathematics - Combinatorics ; Computer Science - Discrete Mathematics ; Primary: 05C09 ; 05C12 ; Secondary: 05C50 |
Publishing date | 2023-02-14 |
Publishing country | us |
Document type | Book ; Online |
Database | BASE - Bielefeld Academic Search Engine (life sciences selection) |
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