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Cut method: update on recent developments and equivalence of independent approaches
Klavžar, Sandi ; Nadjafi-Arani, M. J.
Prerezna metoda je močno orodje za raziskovanje razdaljno zasnovanih (in tudi drugih) molekulskih strukturnih deskriptorjev. V članku je narejen pregled nedavnega razvoja prerezne metode. Opisani so ...primeri standardne prerezne metode za Wienerjev indeks, Szegedski indeks, PI indeks, posplošeni končni Wienerjev indeks, Gutmanov indeks, povezavni Wienerjev indeks in povezavni Szegedski indeks. Pri tem je standardna prerezna metoda tista, ki deluje na delnih kockah. Poudarjeno je, da je bila standardna prerezna metoda nedavno nekajkrat neodvisno odkrita. Predstavljene so številne razširitve standardne prerezne metode. Metodo lahko razširino na ▫$\ell_1$▫-grafe, grafe, ki premorejo netrivialno kanonično metrično reprezentacijo, grafe s tranzitivno relacijo ▫$\Theta$▫ in delne Hammingove grafe. Primeri razširjene prerezne metode vključujejo Wienerjev indeks, stopenjsko razdaljo, razdaljne momente in barvni Wienerjev indeks.
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