4-transitive digraphs I: the structure of strong 4-transitive digraphs
Copyright policy )4-transitive digraphs I: the structure of strong 4-transitive digraphs
Let D be a digraph, V (D) and A(D) will denote the sets of vertices and arcs of D, respectively. A digraph D is transitive if for every three distinct vertices u, v,w ∈ V (D), (u, v), (v,w) ∈ A(D) implies that (u,w) ∈ A(D). This concept can be generalized as follows: A digraph is k-transitive if for every u, v ∈ V (D), the existence of a uv-directed path of length k in D implies that (u, v) ∈ A(D). A very useful structural characterization of transitive digraphs has been known for a long time, and recently, 3-transitive digraphs have been characterized.
4-transitive digraph, QA1-939, quasi-transitive digraph, k-quasi-transitive digraph, transitive digraph, digraph, k-transitive digraph, Mathematics
4-transitive digraph, QA1-939, quasi-transitive digraph, k-quasi-transitive digraph, transitive digraph, digraph, k-transitive digraph, Mathematics
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