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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
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]

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