We introduce H -join decompositions of graphs, indexed by a fixed bipartite graph H . These decompositions are based on a graph operation that we call H -join, which adds edges be...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
We present a randomized subexponential time, polynomial space parameterized algorithm for the k-Weighted Feedback Arc Set in Tournaments (k-FAST) problem. We also show that our alg...
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
The k-th power of a graph G is the graph whose vertex set is V (G)k , where two distinct ktuples are adjacent iff they are equal or adjacent in G in each coordinate. The Shannon ...
We take a new look at the convex path recoloring (CPR), convex tree recoloring (CTR), and convex leaf recoloring (CLR) problems through the eyes of the independent set problem. Th...