============================================================================ Title: Degree bounded spanning tree Authors: L. Liu , G. Namasivayam and M. Truszczynski Department of Computer Science, University of Kentucky Lexington, KY, USA Version: 0.1 Category: SAT/UNSAT (all instances are satisfiable) # of files: 15 ============================================================================ Let G=(V,E) be an undirected graph. Function w : V x V -> N assigns non-negative integer weights to edges in G. A spanning tree T=(V,E') is a d-bounded spanning tree if, for every vertex v in V, the following is true: \sum_{(v,u)\in E} w(v,u) <= d We generated 15 random graphs. They are: * 5 graphs having 30 vertices and 350 edges with d=15 * 5 graphs having 40 vertices and 600 edges with d=20 * 5 graphs having 50 vertices and 1000 edges with d=25. The weights of edges are between 1 and 9.