We describe recent achievements in the theory of weight systems, which are functions on
chord diagrams satisfying so-called $4 $-term relations. Our main attention is devoted to …

By considering Tutte polynomials of Hopf algebras, we show how a Tutte polynomial can be
canonically associated with combinatorial objects that have some notions of deletion and …

Morphisms of matroids are combinatorial abstractions of linear maps and graph
homomorphisms. We introduce the notion of a basis for morphisms of matroids, and show …

We follow the example of Tutte in his construction of the dichromate of a graph (ie the Tutte
polynomial) as a unification of the chromatic polynomial and the flow polynomial in order to …

In this paper we unify two families of topological Tutte polynomials. The first family is that
coming from the surface Tutte polynomial, a polynomial that arises in the theory of local …

This paper is devoted to the study of a nonlinear Euler-Bernoulli Beam type equation
involving both left and right Caputo fractional derivatives. Differently from the approaches of …

We introduce the notion of a delta-matroid perspective. A delta-matroid perspective consists
of a triple (M, D, N), where M and N are matroids and D is a delta-matroid such that there are …

arxiv:1708.08132v1 [math.CO] 27 Aug 2017 Page 1 arxiv:1708.08132v1 [math.CO] 27 Aug
2017 TOPOLOGICAL TUTTE POLYNOMIAL SERGEI CHMUTOV Abstract. This is a survey of …

Сформировавшаяся в основном в 1990-х годах теория инвариантов узлов и
зацеплений конечного порядка, основы которой заложены в работе [61], породила …

Matroids, Eulerian Graphs and Topological Analogues of the Tutte Polynomial Page 1 Matroids,
Eulerian Graphs and Topological Analogues of the Tutte Polynomial Benjamin Smith Thesis …