20.500.12556/DiRROS-18442 Zhang-Zhang polynomials of phenylenes and benzenoid graphs The aim of this paper is to study some variations of the Zhang-Zhang polynomial for phenylenes, which can be obtained as special cases of the multivariable Zhang-Zhang polynomial. Firstly, we prove the equality between the first Zhang-Zhang polynomial of a phenylene and the generalized Zhang-Zhang polynomial of some benzenoid graph, which enables us to prove also the equality between the first Zhang-Zhang polynomial and the generalized cube polynomial of the resonance graph. Next, some results on the roots of the second Zhang-Zhang polynomial of phenylenes are provided and another expression for this polynomial is established. Finally, we give structural interpretation for (partial) derivatives of different Zhang-Zhang polynomials. graph theory resonance graphs polynomials teorija grafov resonančni grafi polinomi true false true Angleški jezik Slovenski jezik Neznano 2024-03-18 10:53:18 2024-03-18 10:53:18 2024-03-19 03:44:38 0000-00-00 00:00:00 2024 0 0 str. 25-53 no. 1 Vol. 92 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-01-01 519.17 3009-4399 10.46793/match.92-1.025T 185502723 match92n1_25-53-1.pdf match92n1_25-53-1.pdf 1 369E9EA656275BA3C08A32CA63286874 c1b754e6453cfd547057166114c4ca7e5e91d20c97bbd81d281c1184f69f6038 65d925d8-e50d-11ee-9dd4-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=25119 Inštitut za matematiko, fiziko in mehaniko 0 0 0