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An algorithm for the calculation of the hyper-Wiener index of benzenoid hydrocarbons
Klavžar, Sandi ; Žigert Pleteršek, Petra ; Gutman, Ivan
Opisan je algoritem za izračun hiper-Wienerjevega indeksa ▫$(WW)$▫ benzenoidnih ogljikovodikov. Algoritem je zasnovan na osnovi elementarnih prerezov benzenoidnega grafa ▫$B$▫. ▫$WW$▫ se izraža kot ...vsota izrazov oblike ▫$n_{11}n_{22} + n_{12}n{21}$▫, kjer je ▫$n_{rs}, r,s=1,2$▫ število točk v enem izmed štirih delov, na katere razbije točke grafa ▫$B$▫ par elementarnih prerezov. Algoritem med drugim omogoča določitev izrazov za ▫$WW$▫ homogenih zaporedij benzenoidnih ogljikovodikov.
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