The Terminal Hosoya Polynomial of Some Families of Composite Graphs-Reference-Cited by-同舟云学术

The Terminal Hosoya Polynomial of Some Families of Composite Graphs

Published:2014-04-16 Issue: Volume:2014 Page:1-4
ISSN:1687-9163
Container-title:International Journal of Combinatorics
language:en
Short-container-title:International Journal of Combinatorics

Author:

Deutsch Emeric¹,Rodríguez-Velázquez Juan Alberto²

Affiliation:

1. Polytechnic Institute of New York University, Brooklyn, NY 11201, USA

2. Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avenida Països Catalans 26, 43007 Tarragona, Spain

Abstract

Let G be a connected graph and let Ω(G) be the set of pendent vertices of G. The terminal Hosoya polynomial of G is defined as TH(G,t)∶=∑x,y∈Ω(G):x≠ytdG(x,y), where dG(x,y) denotes the distance between the pendent vertices x and y. In this note paper we obtain closed formulae for the terminal Hosoya polynomial of rooted product graphs and corona product graphs.

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/696507.pdf

Reference16 articles.

1. On some counting polynomials in chemistry

2. The Wiener polynomial of a graph

3. Relationship between the Hosoya polynomial and the hyper-Wiener index

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