snip20161016_8

The Spectra of the Cartesian Product of Some Special Classes of Assymetric, Circulant and r-Regular Digraphs

Abstract

Two classes of asymmetric, circulant, and r-regular digraphs were defined in [4]. These digraphs are denoted by ~Crn and d~C n. The former is an orientation of the rth power of the cycle Cn. Another pair of asymmetric, circulant, and r-regular digraphs were introduced in [5]. One belongs to the class of tournaments, and the other is an orientation of a class of complete bipartite graphs. The former is denoted by ~Tn, and the latter is denoted by ~K m;m. In [4] and [5], the singularity and nonsingularity of these classes of digraphs were investigated. Read More