WebWe also consider weighted versions of these results which may be viewed as statements about the partition functions of certain models of physical systems with hard constraints. Now on home page ads Web31 de jul. de 2010 · In this paper, we prove a decidable complexity dichotomy theorem for this problem and our theorem applies to all non-negative weighted form of the problem: given any fixed matrix A with...

Graph Homomorphisms, Circular Colouring, and Fractional Covering …

Web7 de out. de 2024 · In this article, we introduce a geometric and a spectral preorder relation on the class of weighted graphs with a magnetic potential. The first preorder is expressed through the existence of a graph homomorphism respecting the magnetic potential and fulfilling certain inequalities for the weights. The second preorder refers to the spectrum … WebThe weights may be on the vertices of Hor on the edges. The edge weights may be stored in a symmetric matrix A, called a weight matrix, such that A ij= 0 if and only of fi;jg62E H. Our focus throughout the paper is on counting graph homomorphisms (where all edge weights and all vertex weights equal 1). in which province is bapsfontein

A decidable dichotomy theorem on directed graph homomorphisms …

Web13 de abr. de 2006 · 2.4. Connection matrices of homomorphisms. Fix a weighted graph H = (a,B). For every positive integer k,let[k]={1,...,k}. For any k-labeled graph G and … WebAs an important interim result, our study yields a dichotomy for the problem of counting weighted independent sets in a bipartite graph modulo some prime p. These results are the first suggesting that such dichotomies hold not only for the modulo 2 case but also for the modular counting functions of all primes p . Web1 de jan. de 2015 · We will usually use hom⁡(⋅,G)if Gis an unweighted graph to emphasize that we count ordinary graph homomorphisms. The vertex-coloring model can also be … in which province does nawalparasi lies