… We prove that the Tutte polynomial of a coloopless paving matroid is convex along the portion
of the line x + y = … We also prove this conjecture for some families of graphs and matroids. …

Let G be a graph without loops or bridges and a, b be positive real numbers with b ≥ a(a+2).
We show that the Tutte polynomial of G satisfies the inequality T G (b, 0)T G (0, b) ≥ T G (a, …

… for a particular Tutte invariant in terms of the Tutte polynomial coefficients. Nevertheless, …
of the Tutte polynomial when y, or dually x, is 0, 1, or 2. We now list some salient features of …

… Section 3 is a collection of some simple and useful convergence results … Some properties
of T (Lm,n;x, y) when x, y ⩾ 1 Our results depend on a series of Tutte polynomial inequalities for …

… understanding the structure of the Tutte polynomial. Here we concentrate on understanding
the structure of the Tutte polynomial, more specifically the graph of the polynomial, that is the …

… some of the Tutte polynomial’s many properties and applications and we use the Tutte
polynomial to showcase a variety of principles and techniques for graph polynomials in general. …

… -alone account of some aspect of the Tutte polynomial and is … fundamental properties of the
Tutte polynomial. In particular the … of the Tutte polynomial by discussing briey some central …

… the theory of the Tutte polynomial. The first is an extension of the Tutte polynomial, from the
… In Section 8 we gather the proofs of some basic facts about activities and some properties of …

… Each chapter offers a stand-alone account of some aspect of the Tutte polynomial and is …
Tutte polynomial. In particular the first four chapters provide an overview of the Tutte polynomial …

… The rest of this section is devoted to finding exact formulas for some values of the Tutte
polynomial for snakes: T ( S ; 2 , 0 ) , T ( S ; 0 , 2 ) and T ( S ; 1 , 1 ) . These formulas will be crucial …