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 ...

Proceedings of the American Mathematical Society, Vol. 140, No. 4 (APRIL 2012), pp. 1459-1472 (14 pages) In this paper, we first associate a plane graph with an oriented link via replacing each edge ...

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.

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

CBSE Class 10 Maths Chapter 2 All Formulas are available here. You can check these formulas along with all the definitions, theorems and properties related to Polynomials for quick revision at the ...