Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

Mehdi Eliasi, Bijan Taeri, SCHULTZ POLYNOMIALS OF COMPOSITE GRAPHS, Applicable Analysis and Discrete Mathematics, Vol. 2, No. 2 (October 2008), pp. 285-296 ...

We add a fixed number of vertices of degree 1 to each vertex from one part of a bipartite graph. We study characteristic, matching and some related polynomials for graphs obtained in this way.

In 2015, the poet-turned-mathematician June Huh helped solve a problem posed about 50 years earlier. The problem was about complex mathematical objects called “matroids” and combinations of points and ...