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Maximal energy graphs
Univ Bielefeld. (FSPM Stukturbildungsprozesse)
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
2001 (English)In: Advances in Applied Mathematics, ISSN 0196-8858, E-ISSN 1090-2074, Vol. 26, no 1, 47-52 p.Article in journal (Refereed) Published
Abstract [en]

Given a graph G, its energy E(G) is defined as the sum of the absolute values of the eigenvalues of G. The concept of the energy of a graph was introduced in the subject of chemistry by I. Gutman. due to its relevance to the total pi -elrctron energy of certain molecules. In this paper, we show that if G is a graph on n vertices, then E(G) less than or equal to (n/2)(1 + rootn) must hold, and we give an infinite family of graphs for which this bound is sharp.

Place, publisher, year, edition, pages
2001. Vol. 26, no 1, 47-52 p.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-13608DOI: 10.1006/aama.2000.0705ISI: 000166366300003Scopus ID: 2-s2.0-0035217286OAI: oai:DiVA.org:miun-13608DiVA: diva2:411797
Available from: 2011-04-19 Created: 2011-04-19 Last updated: 2016-10-13Bibliographically approved

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