The consecutive-4 digraphs are Hamiltonian

Abstract

Du, Hsu, and Hwang conjectured that consecutive-d digraphs are Hamiltonian for d = 3,4. Recently, we gave an infinite class of consecutive-3 digraphs, which are not Hamiltonian. In this article we prove the conjecture for d = 4. (C) 1999 John Wiley & Sons, Inc.