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|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
|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.
|Appears in Collections:||IJC-A Vol.35A(10) [October 1996]|
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