No Hückel graph is hyperenergetic

If G is a molecular graph with n vertices and if λ1, λ2, ..., λn are its eigenvalues, then the energy of G is equal to E(G) = |λ1| + |λ2|+ ... + |λn|. If E(G) > 2n - 2, then G is said to be hyperenergetic. We show that no Hückel graph (= the graph representation of a conjugated hydrocarbon within...

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Bibliographic Details
Published in:Journal of the Serbian Chemical Society 2000-01, Vol.65 (11), p.799-801
Main Authors: Gutman I., Hou Y., Walikar H.B., Ramane H.S., Hampiholi P.R.
Format: Article
Language:English
Subjects:
energy of graph
hyperenergetic graphs
total π-electron energy
Online Access:Get full text
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Summary:If G is a molecular graph with n vertices and if λ1, λ2, ..., λn are its eigenvalues, then the energy of G is equal to E(G) = |λ1| + |λ2|+ ... + |λn|. If E(G) > 2n - 2, then G is said to be hyperenergetic. We show that no Hückel graph (= the graph representation of a conjugated hydrocarbon within the Hückel molecular orbital model) is hyperenergetic.
ISSN:0352-5139
1820-7421
DOI:10.2298/JSC0011799G