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Maximal Energy Graphs

✍ Scribed by Jack H. Koolen; Vincent Moulton


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
65 KB
Volume
26
Category
Article
ISSN
0196-8858

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✦ Synopsis


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 Ο€-electron energy of certain molecules. In this paper, we show that if G is a graph on n vertices, then E G ≀ n


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