A novel use of Hückel parameters (h, k) for the pairing of eigenvalues in graph spectrum

Swarna M. Patra; Rama K. Mishra; Bijaya K. Mishra

A novel use of Hückel parameters (h, k) for the pairing of eigenvalues in graph spectrum

Swarna M. Patra, Rama K. Mishra^*, Bijaya K. Mishra

^*Corresponding author for this work

Biochemistry and Molecular Genetics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 (X_j) of the weighed graphs has been proposed in the light of Coulson-Rushbrooke pairing theorem for the non-bipartite graphs, formula presented where n, p and 'a' are the number of vertices, number of heteroatoms and a numerical quantity respectively.

Original language	English (US)
Pages (from-to)	813-817
Number of pages	5
Journal	Indian Journal of Chemistry - Section A Inorganic, Physical, Theoretical and Analytical Chemistry
Volume	35
Issue number	10
State	Published - Oct 1 1996

ASJC Scopus subject areas

Physical and Theoretical Chemistry
Inorganic Chemistry

Cite this

@article{3f8983f9ea064e09b4845d92927769a9,

title = "A novel use of H{\"u}ckel parameters (h, k) for the pairing of eigenvalues in graph spectrum",

abstract = "An unusual use of the H{\"u}ckel 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, formula presented where n, p and 'a' are the number of vertices, number of heteroatoms and a numerical quantity respectively.",

author = "Patra, {Swarna M.} and Mishra, {Rama K.} and Mishra, {Bijaya K.}",

year = "1996",

month = oct,

day = "1",

language = "English (US)",

volume = "35",

pages = "813--817",

journal = "Indian Journal of Chemistry - Section A Inorganic, Physical, Theoretical and Analytical Chemistry",

issn = "0376-4710",

publisher = "Scientific Publishers of India",

number = "10",

}

TY - JOUR

T1 - A novel use of Hückel parameters (h, k) for the pairing of eigenvalues in graph spectrum

AU - Patra, Swarna M.

AU - Mishra, Rama K.

AU - Mishra, Bijaya K.

PY - 1996/10/1

Y1 - 1996/10/1

N2 - 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, formula presented where n, p and 'a' are the number of vertices, number of heteroatoms and a numerical quantity respectively.

AB - 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, formula presented where n, p and 'a' are the number of vertices, number of heteroatoms and a numerical quantity respectively.

UR - http://www.scopus.com/inward/record.url?scp=2842571602&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2842571602&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:2842571602

SN - 0376-4710

VL - 35

SP - 813

EP - 817

JO - Indian Journal of Chemistry - Section A Inorganic, Physical, Theoretical and Analytical Chemistry

JF - Indian Journal of Chemistry - Section A Inorganic, Physical, Theoretical and Analytical Chemistry

IS - 10

ER -

A novel use of Hückel parameters (h, k) for the pairing of eigenvalues in graph spectrum

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this