The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
A strong oriented k-coloring of an oriented graph G is a homomorphism from G to H having k vertices labelled by the k elements of an abelian additive group M, such that for any p...
Given a graph G and an integer k, two players alternatively color the edges of G using k colors so that adjacent edges get different colors. The game chromatic index g(G) is the m...
Andrew Beveridge, Tom Bohman, Alan M. Frieze, Oleg...
Alon and Yuster [4] have proven that if a fixed graph K on g vertices is (h + 1)-colorable, then any graph G with n vertices and minimum degree at least h h+1 n contains at least ...
: Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player ...