No Hückel graph is hyperenergetic-Reference-Cited by-同舟云学术

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No Hückel graph is hyperenergetic

Published:2000 Issue:11 Volume:65 Page:799-801
ISSN:0352-5139
Container-title:Journal of the Serbian Chemical Society
language:en
Short-container-title:JSCS

Author:

Gutman I.¹,Hou Y.²,Walikar H.B.³,Ramane H.S.⁴,Hampiholi P.R.⁴

Affiliation:

1. Faculty of Science, Kragujevac

2. University of Science and Technology of China, Department of Mathematics, Hefei, Anhui, China

3. Karnatak University Campus, Department of Mathematics, Belgaum, India

4. Gogte Institute of Technology, Udyambag, Belgaum, India

Abstract

If G is a molecular graph with n vertices and if ?1, ?2, ..., ?n are its eigenvalues, then the energy of G is equal to E(G) = |?1| + |?2|+ ... + |?n|. If E(G) > 2n - 2, then G is said to be hyperenergetic. We show that no H?ckel graph (= the graph representation of a conjugated hydrocarbon within the H?ckel molecular orbital model) is hyperenergetic.

Publisher

National Library of Serbia

Subject

General Chemistry

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