We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded deg...
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Kayles is a combinatorial game on graphs. Two players select alternatingly a vertex from a given graph G - a chosen vertex may not be adjacent or equal to an already chosen vertex...
Bound polysemy is the property of any pair (G1, G2) of graphs on a shared vertex set V for which there exists a partial order on V such that any pair of vertices has an upper boun...
We consider the problem of testing bipartiteness in the adjacency matrix model. The best known algorithm, due to Alon and Krivelevich, distinguishes between bipartite graphs and g...