Then fixed-point logic with counting (FP+C) captures polynomial time on C. Examples of classes of graphs with an excluded minor are the class of planar graphs (the complete graph with 5 vertices, K 5, ...

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 ...

Graph Polynomial: An algebraic expression that encodes key combinatorial properties of a graph. Tutte Polynomial: A two-variable polynomial invariant capturing a wide range of graph properties, ...

The difficulties come from the irregular structure of graph signals and the lack of a straightforward description for the nonlinear relationship between input and output graph signals. In this paper, ...

Let be an n-tuple on positive integers then the thorn graph of the parent graph G on n vertices is formed by attaching p i (), new vertices of degree one to each vertex v i of G. Various topological ...

H.L. Bodlaender, polynomial algorithms for graph isomorphism and chromatic index on partial k-trees, J. Algorithms 11, pp. 631-643, 1990. has been cited by the following article: TITLE: Algorithm for ...

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 ...

In this paper, a distributed nonlinear polynomial graph filter (NPGF) is proposed to characterize the nonlinear input-output relationship by employing polynomial-type nonlinearity based on Hadamard ...