The (Delta,D) and (Delta,N) problems in double-step digraphs with unilateral distance

The (Delta,D) and (Delta,N) problems in double-step digraphs with unilateral distance

Blog Article

We study the (Delta,D) and (Delta,N) problems for double-step digraphs considering the unilateral distance, which is the minimum between the distance in the digraph and the distance in its converse digraph, obtained by changing the directions of all the arcs.The first problem consists of maximizing the number of vertices N of a digraph, given the maximum degree $Delta$ and the 1962 impala center console unilateral diameter D*, whereas the second one (somehow dual of the first) consists of minimizing the unilateral diameter given the maximum degree and the number of vertices.We solve the first problem for every value of the unilateral rose jelly beans diameter and the second one for infinitely many values of the number of vertices.

Moreover, we compute the mean unilateral distance of the digraphs in the families considered.