Results 11 to 20 of about 15,653 (260)
Note of the hyper-Wiener index [PDF]
Journal of the Serbian Chemical Society, 2003 The hyper-Wiener index WW of a chemical tree T is defined as the sum of the products n1n2, over all pairs υ,ν of vertices of T, where n1 and n2 are the number of vertices of T, lying on the two sides of the path which connects υ and ν.
Gutman Ivan +2 more
doaj +4 more sources
Peripheral Wiener index of a graph
Communications in Combinatorics and Optimization, 2017 The {\em eccentricity} of a vertex $v$ is the maximum distance between $v$ and any other vertex. A vertex with maximum eccentricity is called a peripheral vertex.
K.P. Narayankar, S.B. Lokesh
doaj +2 more sources
Generalizations of Wiener Polarity Index and Terminal Wiener Index [PDF]
Graphs and Combinatorics, 2012 In theoretical chemistry, distance-based molecular structure descriptors are used for modeling physical, pharmacologic, biological and other properties of chemical compounds. We introduce a generalized Wiener polarity index $W_k (G)$ as the number of unordered pairs of vertices ${u, v}$ of $G$ such that the shortest distance $d (u, v)$ between $u$ and $
Ilić, Aleksandar, Ilić, Milovan
openaire +2 more sources
Wiener index of quadrangulation graphs
Discrete Applied Mathematics, 2021 The Wiener index of a graph $G$, denoted $W(G)$, is the sum of the distances between all pairs of vertices in $G$. . Czabarka, et al. conjectured that for an $n$-vertex, $n\geq 4$, simple quadrangulation graph $G$, \begin{equation*}W(G)\leq \begin{cases} \frac{1}{12}n^3+\frac{7}{6}n-2, &\text{ $n\equiv 0~(mod \ 2)$,}\\ \frac{1}{12}n^3+\frac{11 ...
Ervin Győri +2 more
openaire +2 more sources
Multicenter Wiener indices and their applications [PDF]
Journal of the Serbian Chemical Society, 2015 The Wiener index W can be viewed as a molecular structure descriptor composed of increments representing interactions between pairs of atoms. A generalization of the W are the Steiner-Wiener indices kW, k=3,4,....
Gutman Ivan, Furtula Boris, Li Xueliang
doaj +1 more source
Wiener index for an intuitionistic fuzzy graph and its application in water pipeline network
Ain Shams Engineering Journal, 2023 The usefulness of different topological indices is inevitable in various fields such as Chemistry, Electronics, Economics and Business studies, medical and social sciences. The “purpose of this paper is to study” Wiener index for the Intuitionistic fuzzy
Javeria Dinar +3 more
doaj +1 more source
On the Wiener Polynomials of Some Trees [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 The Wiener index is a graphical invariant which has found many applications in chemistry. The Wiener Polynomial of a connected graph G is the generating function of the sequence (C(G,k)) whose derivative at x=1 is the Wiener index W(G) of G, in which C(G,
Ali Ali, Ahmed Ali
doaj +1 more source
Equiseparability on Terminal Wiener Index [PDF]
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deng, Xiaotie, Zhang, Jie
openaire +6 more sources
Hosoya Polynomials Of Some Semiconducotors
Journal of Kufa for Mathematics and Computer, 2014 The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperï€Wiener index.
Azeez Lafta Jabir +2 more
doaj +1 more source
Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
Journal of Chemistry, 2020 In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound.
Zhong-Lin Cheng +4 more
doaj +1 more source