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http://nopr.niscpr.res.in/handle/123456789/41480| Title: | A novel use of Hückel parameters (h, k) for the pairing of eigenvalues in graph spectrum |
| Authors: | Patra, Swarna M Mishra, Rama K Mishra, Bijaya K |
| Issue Date: | Oct-1996 |
| Publisher: | NISCAIR-CSIR, India |
| Abstract: | An unusual use of the Hückel parameters (h and k) has been noticed for the derivation of the characteristic polynomial (CP) of the vertex-edge weighted graphs. A new pairing scheme for the eigenvalues (xj) of the weighed graphs has been proposed in the light of Coulson-Rushbrooke pairing theorem for the non-bipartite graphs, xj + xn+ 1-j = 1/2 hp ± a for j = 1, 2, 3 ..., n where n, p and ‘a’ are the number of vertices, number of heteroatoms and a numerical quantity respectively. |
| Page(s): | 813-817 |
| ISSN: | 0975-0975(Online); 0376-4710(Print) |
| Appears in Collections: | IJC-A Vol.35A(10) [October 1996] |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| IJCA 35A(10) 813-817.pdf | 806.24 kB | Adobe PDF | View/Open |
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hp ± a for j = 1, 2, 3 ..., n where n, p and ‘a’ are the number of vertices, number of heteroatoms and a numerical quantity respectively.