Chemical applications of the Laplacian spectrum. VI On the largest Laplacian eigenvalue of alkanes

Journal of the Serbian Chemical Society

Stevanović Dragan P.¹  Vidović Dušica²  Gutman Ivan² 

[1] Faculty of Science - Department of Mathematics, Niš;Faculty of Science, Kragujevac;

关键词: laplacian spectrum;    molecular graph;    alkanes.;   

DOI  :  10.2298/JSC0206407G

来源: DOAJ

【 摘 要 】

The largest Lapacian eigenvalue µ1 of the molecular graph is a quantity important in the theory of the photoelectron spectra of saturated hydrocarbons. It is shown that in the case of alkanes, the presence or absence of quaternary carbon atoms is the main structural feature on which µ1 depends. Within sets of all alkanes with a given number of carbon atoms the species (with and without quaternary carbons atoms) whose µ1-values are minimal and maximal are determined.

【 授权许可】

Unknown