GRAPHS WITH RECIPROCAL PAIRS OF EIGENVALUES

Authors
SARKAR J MUKHERJEE AK
Citation
J. Sarkar et Ak. Mukherjee, GRAPHS WITH RECIPROCAL PAIRS OF EIGENVALUES, Molecular physics, 90(6), 1997, pp. 903-907
Citations number
27
Categorie Soggetti
Physics, Atomic, Molecular & Chemical
Journal title
Molecular physics → ACNP
ISSN journal
00268976
Volume
90
Issue
6
Year of publication
1997
Pages
903 - 907
Database
ISI
SICI code
0026-8976(1997)90:6<903:GWRPOE>2.0.ZU;2-9
Abstract
Three classes of graph have been identified whose eigenvalues occur in the form of reciprocal pairs (lambda, 1/lambda). General expressions for these eigenvalues for each class of graph have been derived in ter ms of the total number of vertices. Examples are given of the partial or complete eigenspectra of some real conjugated systems (in HMO forma lism) using such graphs as subgraphs or factorization fragments.