[PDF][PDF] The edge-Wiener index of benzenoid systems in linear time

A Kelenc, S Klavzar, N Tratnik - MATCH Commun. Math. Comput. Chem, 2015 - Citeseer
The edge-Wiener index of a graph G is defined as the Wiener index of the line graph of G. In
this paper an algorithm is developed that, for a given benzenoid system G with m edges …

A relation between Clar covering polynomial and cube polynomial

H Zhang, WC Shiu, PK Sun - arXiv preprint arXiv:1210.5322, 2012 - arxiv.org
The Clar covering polynomial (also called Zhang-Zhang polynomial in some chemical
literature) of a hexagonal system is a counting polynomial for some types of resonant …

[PDF][PDF] Equivalence of Zhang-Zhang polynomial and cube polynomial for spherical benzenoid systems

M Berlic, N Tratnik, PZ Pleteršek - MATCH Commun. Math …, 2015 - match.pmf.kg.ac.rs
Benzenoid systems or hexagonal systems are subgraphs of a hexagonal lattice. Open-
ended carbon nanotubes alias tubulenes can be seen as an embedding of a benzenoid …

Resonance graphs of plane bipartite graphs as daisy cubes

S Brezovnik, Z Che, N Tratnik, PŽ Pleteršek - arXiv preprint arXiv …, 2023 - arxiv.org
We characterize all plane bipartite graphs whose resonance graphs are daisy cubes and
therefore generalize related results on resonance graphs of benzenoid graphs …

Resonance graphs of kinky benzenoid systems are daisy cubes

PŽ Pleteršek - arXiv preprint arXiv:1710.07501, 2017 - arxiv.org
Klav\v {z} ar and Mollard introduced daisy cubes which are interesting isometric subgraphs
of $ n $-cubes $ Q_n $, induced with intervals between the maximal elements of a poset $(V …

Daisy cubes as resonance graphs and maximal independent sets of trees

S Brezovnik, Z Che, N Tratnik, PŽ Pleteršek - arXiv preprint arXiv …, 2024 - arxiv.org
Assume that $ G $ is a homeomorphically peripheral color alternating graph with inner dual
$ G^* $ and resonance graph $ R (G) $. We first establish a bijection between the set of …

[PDF][PDF] The structure of Lucas cubes and maximal resonant sets of cyclic fibonacenes

PZ Pleteršek, M Berlic - MATCH Commun. Math. Comput. Chem, 2013 - match.pmf.kg.ac.rs
Fibonacenes are well known benzenoid graphs and their resonance graphs are isomorphic
to Fibonacci cubes. In this paper we introduce so called cyclic fibonacenes and it turns out …

[PDF][PDF] UČNI NAČRT PREDMETA/COURSE SYLLABUS Predmet: Programska oprema za matematike

S Maxima, S Octave - fnm.um.si
UČNI NAČRT PREDMETA / COURSE SYLLABUS Predmet: Programska oprema za
matematike Course title: Software for mathematicians Štud Page 1 UČNI NAČRT …

[PDF][PDF] UČNI NAČRT PREDMETA/COURSE SYLLABUS

S Octave - fnm.um.si
UČNI NAČRT PREDMETA / COURSE SYLLABUS Predmet: Programska oprema za
matematike Course title: Software for mathematicians Štud Page 1 UČNI NAČRT …

[PDF][PDF] The Structure of Lucas Cubes and Maximal Resonant Sets of Cyclic Fibonacenes

M Berlic - researchgate.net
Fibonacenes are well known benzenoid graphs and their resonance graphs are isomorphic
to Fibonacci cubes. In this paper we introduce so called cyclic fibonacenes and it turns out …