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 ...

This project allows users to dynamically create and plot polynomial functions of varying degrees with user-defined coefficients and intercepts. The graph shows the polynomial curve along with the ...

Download PDF Join the Discussion View in the ACM Digital Library EXAMPLE 2. A standard way of representing graphs is by their adjacency matrices; once we have an adjacency matrix we can obtain a {0, 1 ...

Abstract: Many graph polynomials, such as the Tutte polynomial, the interlace polynomial and the matching polynomial, have both a recursive definition and a defining subset expansion formula. In this ...

A holy grail of theoretical computer science, with numerous fundamental implications to more applied areas of computing such as operations research and artificial intelligence, is the question of ...

Abstract: This brief investigates distributed and adaptive estimation of streaming data based nonlinear graph filters. To begin with, a new distributed polynomial filter for nonlinear graphs is ...

ABSTRACT: The matching energy of graph G is defined as , where be the roots of matching polynomial of graph G. In order to compare the energies of a pair of graphs, Gutman and Wager further put ...