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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2010 Volume 13, Number 3, Pages 43–50 (Mi sjim622)

On investigation of the stability of periodic hydrocarbon molecules in a second approximation model

V. A. Kolmykov

Voronezh State University, Voronezh, RUSSIA

Abstract: We consider some classes of periodic weighted graphs and prove that the instability of these graphs is a periodic property. We determine all possible periods. The results can be used in theoretical and mathematical chemistry.

Keywords: hydrocarbons, graph, spectrum.

UDC: 519.17

Received: 13.07.2009



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