We relate the graph isomorphism problem to the solvability of certain systems of linear equations and linear inequalities. The number of these equations and inequalities is relate...
A graph G is loosely-c-connected, or -c-connected, if there exists a number d depending on G such that the deletion of fewer than c vertices from G leaves precisely one infinite co...
We study graph colorings avoiding periodic sequences with large number of blocks on paths. The main problem is to decide, for a given class of graphs F, if there are absolute const...
We initiate the study of graph sketching, i.e., algorithms that use a limited number of linear measurements of a graph to determine the properties of the graph. While a graph on n...
Heuristic algorithms for coloring the edges of large undirected single-edge graphs with (or very close to) the minimal number of colors are presented. Compared to simulated anneal...
Mario Hilgemeier, Nicole Drechsler, Rolf Drechsler