If G is an oriented graph on n vertices and every vertex has both indegree and outdegree at least , then G contains a perfect transitive triangle tiling, which ...
Jan 2, 2014 · Title:Transitive Triangle Tilings in Oriented Graphs ... Abstract:In this paper, we prove an analogue of Corrádi and Hajnal's classical theorem.
If G is an oriented graph on n vertices and every vertex has both indegree and outdegree at least. 7n/18, then G contains a perfect transitive triangle tiling, ...
The Hajnal–Szemerédi theorem states that for any positive integer r and any multiple n of r , if G is a graph on n vertices and δ(G) > (1− 1/r)n, ...
Introduction. For a pair of (di)graphs G and F, we call a collection of vertex disjoint copies of F in G an F-tiling. We say that an F-tiling is perfect if ...
If G is an oriented graph on n vertices and every vertex has both indegree and outdegree at least 7n/18, then G contains a perfect transitive triangle tiling, ...
... In Section 3 we give a minimum degree condition that ensures an oriented graph has a perfect fractional T k -tiling (and thus a nearly perfect T k -tiling); ...
Let $\vec{T}_k$ be the transitive tournament on $k$ vertices. We show that every oriented graph on $n=4m$ vertices with minimum total degree $(11/12+o(1))n$ ...
Jul 7, 2020 · Since the graph is complete and has no directed 3-cycles, whenever we have a<b and b<c we must also have a<c. That is, < is a transitive ...
Missing: tilings | Show results with:tilings
Abstract. Let \vec{}Tk be the transitive tournament on k vertices. We show that every oriented graph on n = 4m vertices with minimum total degree (11/12 + ...