To each instance of the Quadratic Assignment Problem (QAP) a relaxed instance can be associated. Both variances of their solution values can be calculated in polynomial time. The graph isomorphism ...

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 ...

Understanding these polynomials provides the foundation for comprehending all polynomials, as they share many features that can be generalised to higher orders. This understanding is rooted in ...

In this paper we deal a classical problem, degree restricted spanning trees for series-parallel graph. Our general goal is to prove the NP-completeness of restricted degree spanning trees for ...

Dimensions: 2 This function is a polynomial in two dimensions, with terms up to degree 5. It is nonlinear, and it is smooth despite being complex, which is common for computer experiment functions ...

Polynomial-time reduction is a powerful concept in algorithm design that allows you to compare the difficulty of different problems and use existing solutions to solve new ones. In this article ...

Here we consider the problem of designing finite-impulse-response (FIR) graph filter (GF) in a fully distributed way. For a directed graph with N nodes, each node designs filter coefficients in a ...

I: Algebraic Induction, Zonal Polynomials, and Hypergeometric Functions, Transactions of the American Mathematical Society, Vol. 301, No. 2 (Jun., 1987), pp. 781-811 ...