In this paper, we study time-fractional diffusion equations such as the time-fractional
Kolmogorov equations (TF–KEs) and the time-fractional advection–diffusion equations (TF …

The study of stochastic problems is very important and there is an increasing demand for
investigating the behavior of a number of sophisticated dynamical systems in different areas …

Hosoya Polynomials of Circumcoronene Series Page 1 Hosoya Polynomials of Circumcoronene
Series Xiaoxia Lin a Shou-Jun Xu b ∗ Yeong-Nan Yeh c a School of Sciences, Jimei …

The Hosoya Polynomial Decomposition for Polyphenyl Chains Page 1 The Hosoya Polynomial
Decomposition for Polyphenyl Chains ∗ Xianyong Li1, Guoping Wang1,†,Hong Bian1 and …

For a graph G with the vertex set V (G), we denote by d (u, v) the distance between vertices u
and v in G, by d (u) the degree of vertex u. The Hosoya polynomial of G is H (G)=∑{u, v}⊆ V …

The edge-Hosoya polynomial of a graph is the edge version of the famous Hosoya
polynomial. Therefore, the edge-Hosoya polynomial counts the number of (unordered) pairs …

The permanent is important invariants of a graph with some applications in physics. If G is a
graph with adjacency matrix A=[aij], then the permanent of A is defined as perm A=∑ σ∈ S …

Spiro hexagonal chains are a subclass of spiro compounds which are an important subclass
of Cycloalkynes in Organic Chemistry. This paper addresses general spiro hexagonal …

The Hosoya polynomial of a (molecular) graph G is defined as H (G, x)=∑ k⩾ 0 d (G, k) xk,
where d (G, k) is the number of vertex pairs at distance k in G. The calculation of the Hosoya …

This paper reveals the relationship between edge-Hosoya polynomial and the Hosoya
polynomial of catacondensed benzenoid graphs. The result shows that, for a catacondensed …