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The edge-Wiener index of benzenoid systems in linear time
Kelenc, Aleksander ; Klavžar, Sandi ; Tratnik, Niko
Povezavni Wienerjev indeks grafa ▫$G$▫ je definiran kot Wienerjev indeks njegovega grafa povezav. V članku je razvit linearen algoritem, ki za dani benzenoidni sistem ▫$G$▫ z ▫$m$▫ povezavami v času ...▫$O(m)$▫ izračuna njegov povezavni Wienerjev indeks. Ključ do algoritma je redukcija problema na tri različna utežena drevesa. Poleg v literaturi že znanih vozliščno in povezavno uteženih Wienerjevih indeksov v tem članku vpeljemo in bistveno uporabimo pri algoritmu vozliščno-povezavni Wienerjev indeks.
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