12 citations · 30 across the 6 of their papers we have counts for
5 papers · 1 filter
Isomorphic daisy cubes based on their -graphs
Zhongyuan Che, Niko Tratnik, Petra Žigert Pleteršek
We prove that if and are daisy cubes whose -graphs are forests, then and are isomorphic if and only if their -graphs are isomorphic. The result is applied to…
Resonantly Equivalent Catacondensed Even Ring Systems
Simon Brezovnik, Niko Tratnik, Petra Žigert Pleteršek
In this paper we generalize the binary coding procedure of perfect matchings from catacondensed benzenoid graphs to catacondensed even ring systems (also called cers). Next, we stu…
Resonance graphs of kinky benzenoid systems are daisy cubes
Petra Žigert Pleteršek
Klavžar and Mollard introduced daisy cubes which are interesting isometric subgraphs of -cubes , induced with intervals between the maximal elements of a poset $ (V (Q_n),…
Equivalence of the Generalized Zhang-Zhang Polynomial and the Generalized Cube Polynomial
Petra Žigert Pleteršek
In this paper we study the resonance graphs of benzenoid systems, tubulenes, and fullerenes. The resonance graph reflects the interactions between the Kekul e structures of a molec…
Relationship Between the Hosoya Polynomial and the Edge-Hosoya Polynomial of Trees
Niko Tratnik, Petra Žigert Pleteršek
We prove the relationship between the Hosoya polynomial and the edge-Hosoya polynomial of trees. The connection between the edge-hyper-Wiener index and the edge-Hosoya polynomial i…