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Polygonal chains with minimal energy

✍ Scribed by Juan Rada; Antonio Tineo

Book ID: 104155582
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 138 KB
Volume: 372
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(03)00540-8

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✦ Synopsis

The energy of a graph G is defined as E(G) = p i=1 |λ i |, where λ i (i = 1, . . . , p) are the eigenvalues of the adjacency matrix of G. We show that among all polygonal chains with polygons of 4n -2 vertices (n 2), the linear polygonal chain has minimal energy.

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