✦ LIBER ✦

Extension of the Wiener index and Wiener polynomial

✍ Scribed by Mehdi Eliasi; Bijan Taeri

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 274 KB
Volume: 21
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2007.10.001

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Relationship between the Hosoya polynomi

Relationship between the Hosoya polynomial and the hyper-Wiener index

✍ G.G. Cash 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 256 KB

The Hosoya polynomial of a graph, H(G, z), has the property that its first derivative, evaluated at z = 1, equals the Wiener index, i.e ., W(G) = H'(G, 1). In this paper, an equation is presented that gives the hyper-Wiener index, WW(G), in terms of the first and second derivatives of H(G,z). ## A

The Wiener polynomial of a graph

✍ Bruce E. Sagan; Yeong-Nan Yeh; Ping Zhang 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 674 KB

The Wiener index is a graphical invariant that has found extensive application in chemistry. We define a generating function, which we call the Wiener polynomial, whose derivative is a q-analog of the Wiener index. We study some of the elementary properties of this polynomial and compute it for some

Modification of the Wiener index 4

✍ Feng Yang; Zhen-Dong Wang; Yun-Ping Huang 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 97 KB

A novel topological index W(F) is defined by the matrices X, W, and L as W(F) = XWL. Where L is a column vector expressing the characteristic of vertices in the molecule; X is a row vector expressing the bonding characteristics between adjacent atoms; W is a reciprocal distance matrix. The topologic

-Wiener index of composite graphs

✍ A. Hamzeh; S. Hossein-Zadeh; A.R. Ashrafi 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 218 KB

Eliasi and Taeri [Extension of the Wiener index and Wiener polynomial, Appl. Math. Lett. 21 (2008) 916-921] introduced the notion of y-Wiener index of graphs as a generalization of the classical Wiener index and hyper Wiener index of graphs. They obtained some mathematical properties of this new def

The Szeged and the Wiener index of graph

The Szeged and the Wiener index of graphs

✍ S. Klavžar; A. Rajapakse; I. Gutman 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 283 KB

On Wiener-type polynomials of thorn grap

On Wiener-type polynomials of thorn graphs

✍ Bo Zhou; Damir Vukičević 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 154 KB

## Abstract We derive the expressions of the ordinary, the vertex‐weighted and the doubly vertex‐weighted Wiener polynomials of a type of thorn graph, for which the number of pendant edges attached to any vertex of the underlying parent graph is a linear function of its degree. We also define varia