Results 81 to 90 of about 3,633,781 (192)

The higher-order matching polynomial of a graph

International Journal of Mathematics and Mathematical Sciences, 2005
Given a graph G with n vertices, let p(G,j) denote the number of ways j mutually nonincident edges can be selected in G. The polynomial M(x)=∑j=0[n/2](−1)jp(G,j)xn−2j, called the matching polynomial of G, is closely related to the Hosoya index introduced
Oswaldo Araujo, Mario Estrada, Daniel A. Morales, Juan Rada   +3 more
doaj   +1 more source

Computing the Hosoya Index of Catacondensed Hexagonal Systems

, 2017
The Hosoya index of a graph G is defined as Z (G) = P k≥0 m (G, k), where m (G, k) the number of ways in which k mutually independent edges can be selected in G. In this article we introduce the Hosoya vector of a graph at a given edge.
Rada Rincón, Juan Pablo, Marín Arango, Carlos Alberto, Cruz Rodes, Roberto   +2 more
core  

On topological indices and QSPR analysis of some drugs used for treating Coronavirus patients

African Scientific Reports
A topological index is a real number obtained from the molecular graph structure. It can predict the physicochemical and biological properties of many anticoronavirus drugs.
Hassan Ibrahim, Deborah Abolape Akwu, Reza Sharafdini   +2 more
doaj   +1 more source

Treatment of Restless Legs Syndrome in Dialysis Patients

Seminars in Dialysis, Volume 39, Issue 4, Page 207-209, July/August 2026.
Kenji Sakurai, Yoshitaka Kurihara, Hiromi Hosoya, Fumi Yamouchi, Takeshi Saito   +4 more
wiley   +1 more source

Double hexagonal chains with maximal Hosoya index and minimal Merrifield-Simmons index

, 2007
It is well known that the two graph invariants, '' the Hosoya index '' and '' the Merrifield-Simmons index '' are important ones in structural chemistry.
Ren,H, Zhang,F, 张福基
core  

The role of physicochemical and topological parameters in drug design

Frontiers in Drug Discovery
Quantitative structure activity relationship (QSAR) is a widely used tool in rational drug design that establishes relationships between the physicochemical and topological descriptors of ligands and their biological activities. Obtained QSAR models help
Janki Darlami, Shweta Sharma
doaj   +1 more source

The Wiener Index and the Hosoya Polynomial of the Jahangir Graphs [PDF]

Applied and Computational Mathematics, 2016
Let G be a simple connected graph having vertex set V and edge set E. The vertex-set and edge-set of G denoted by V(G) and E(G), respectively. The length of the smallest path between vertices u,v V(G) is called the distance, d(u,v), between the vertices u,v.
openaire   +1 more source

The Expected Values of Hosoya Index and Merrifield-Simmons Index of Random Hexagonal Cacti [PDF]

, 2023
Hosoya index and Merrifield-Simmons index are two well-known topological descriptors that reflex some physical properties, boiling point or heat of formation for instance, of bezenoid hydrocarbon compounds.
Jiarasuksakun, Thiradet, Kaemawichanurat, Pawaton, Klamsakul, Natawat, Wiroonsri, Nathakhun, Oo, Moe Moe   +4 more
core  

The minimum matching energy of unicyclic graphs with fixed number of vertices of degree two

Open Mathematics
The number of jj-matchings in a graph HH is denote by m(H,j)m\left(H,j). If for two graphs H1{H}_{1} and H2{H}_{2}, m(H1,j)≥m(H2,j)m\left({H}_{1},j)\ge m\left({H}_{2},j) for all jj, then we write H1≽H2{H}_{1}\succcurlyeq {H}_{2}.
Bai Yongqiang, Ma Hongping, Zhang Xia
doaj   +1 more source

Solution to a Conjecture on the Permanental Sum

Axioms
Let G be a graph with n vertices and m edges. A(G) and I denote, respectively, the adjacency matrix of G and an n by n identity matrix. For a graph G, the permanent of matrix (I+A(G)) is called the permanental sum of G.
Tingzeng Wu, Xueji Jiu
doaj   +1 more source