Consider an arc-colored digraph. A set of vertices N is a kernel by monochromatic paths if all pairs of distinct vertices of N have no monochromatic directed path between them and if for every vertex v not in N there exists n ∈ N such that there is a monochromatic directed path from v to n. In this paper we prove different sufficient conditions which im-ply that an arc-colored tournament has a kernel by monochromatic paths. Our conditions concerns to some subdigraphs of T and its quasimonochromatic and bicolor coloration. We also prove that our conditions are not mutually implied and that they are not implied by those known previously. Besides some open problems are proposed
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed...
AbstractWe call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A ...
In this paper we prove the existence of kernels by monochromatic paths in m-coloured tournaments in ...
Let D be a digraph. D is said to be an m-colored digraph if the arcs of D are colored with m colors....
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours and all of ...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours and all of ...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A subdigra...
AbstractWe call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A ...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed...
AbstractWe call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A ...
For a digraph D, V (D) and A(D) will denote the sets of vertices and arcs of D respectively. In an a...
We call the digraph D an m-colored digraph if the arcs of D are colored with m colors. A path (or a ...
We call a digraph D an m-colored digraph if the arcs of D are colored with m colors. A directed path...
In this paper we prove the existence of kernels by monochromatic paths in m-coloured tournaments in ...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed...
AbstractWe call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A ...
In this paper we prove the existence of kernels by monochromatic paths in m-coloured tournaments in ...
Let D be a digraph. D is said to be an m-colored digraph if the arcs of D are colored with m colors....
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours and all of ...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours and all of ...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A subdigra...
AbstractWe call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A ...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed...
AbstractWe call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A ...
For a digraph D, V (D) and A(D) will denote the sets of vertices and arcs of D respectively. In an a...
We call the digraph D an m-colored digraph if the arcs of D are colored with m colors. A path (or a ...
We call a digraph D an m-colored digraph if the arcs of D are colored with m colors. A directed path...
In this paper we prove the existence of kernels by monochromatic paths in m-coloured tournaments in ...
We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed...
AbstractWe call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A ...
In this paper we prove the existence of kernels by monochromatic paths in m-coloured tournaments in ...