The Tutte polynomial for homeomorphism classes of graphs

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Tutte polynomial for homeomorphism classes of graphs

We study a polynomial which contains, as special cases, the Tutte polynomials of all members of a given homeomorphism class of graphs. We further show that this polynomial can be directly derived from the chain polynomial introduced in [1]. c © 2002 Elsevier Science B.V. All rights reserved.

متن کامل

The Tutte Polynomial Characterizes Simple Outerplanar Graphs

We show that if G is a simple outerplanar graph and H is a graph with the same Tutte polynomial as G, then H is also outerplanar. Examples show that the condition of G being simple cannot be omitted.

متن کامل

Tutte polynomial expansions for 2-separable graphs

Let Ĝ be a graph obtained from a graph G with no loops or coloops by replacing each edge e= uw of G by a connected graph He that has only the vertices u and w in common with the rest of Ĝ. Two mutually dual formulas are proved for the Tutte polynomial of Ĝ in terms of parameters of the graphs He and (in the one case) 0ow polynomials of subgraphs of G or (in the other case) tension polynomials o...

متن کامل

A Tutte polynomial for signed graphs

This paper introduces a generalization of the Tutte polynomial [14] that is defined for signed graphs. A signed graph is a graph whose edges are each labelled with a sign (+l or 1). The generalized polynomial will be denoted Q[G] = Q[G](A, B, d). Here G is the signed graph, and the letters A, B, d denote three independent polynomial variables. The polynomial Q[G] can be specialized to the Tutte...

متن کامل

On the tutte polynomial of benzenoid chains

The Tutte polynomial of a graph G, T(G, x,y) is a polynomial in two variables defined for every undirected graph contains information about how the graph is connected. In this paper a simple formula for computing Tutte polynomial of a benzenoid chain is presented.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2002

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(01)00042-5