We propose here a novel tool for chemical graph theory, referred to in the following as the
interface theory of benzenoids, designed for constructing, enumerating, and characterizing …

A vertex‐degree‐based (VDB for short) topological index φ induced by the numbers {φ i, j},
is defined for a graph G with n vertices as 1 where mi, j is the number of edges in G joining …

Closed–Form Formulas for Zhang–Zhang Polynomials of Hexagonal Graphene Flakes O(k,m,n)
with k,m = 1–7 and Arbitrary n Page 1 Closed–Form Formulas for Zhang–Zhang Polynomials …

We report a determinantal formula for the Zhang‐Zhang polynomial of the hexagonal flake O
(2, m, n) applicable to arbitrary values of the structural parameters m and n. The reported …

We show that the Zhang–Zhang (ZZ) polynomial of a benzenoid obtained by fusing a
parallelogram M (m, n) with an arbitrary benzenoid structure ABC can be simply computed …

We demonstrate on multiple examples that Zhang-Zhang (ZZ) polynomials of benzenoids
with k peaks and k valleys can be computed as determinants of certain k× k matrices. The …

In Part 1 of the current series of papers, we demonstrate the equivalence between the Zhang-
Zhang polynomial $\text {ZZ}(\boldsymbol {S}, x) $ of a Kekul\'ean regular $ m $-tier strip …

Determination of topological invariants of graphene flakes, nanotubes, and fullerenes
constitutes a challenging task due to its time-intensive nature and exponential scaling. The …

Formal derivations of closed-form expressions for Clar covering polynomials (aka Zhang–
Zhang polynomials or ZZ polynomials) of twelve classes of regular 5-tier benzenoid strips …

A compilation of ZZ polynomials (aka Zhang–Zhang polynomials or Clar covering
polynomials) for all isomers of small (5, 6)-fullerenes C n with n= 20–50 is presented. The ZZ …