%0 Journal Article
%T Mark sequences in digraphs
%A S. Pirzada
%A U. Samee
%J Mathematics
%D 2006
%I arXiv
%X A k-digraph is an orientation of a multi-graph that is without loops and contains at most k edges between any pair of distinct vertices. We obtain necessary and sufficient conditions for a sequence of non-negative integers in non-decreasing order to be a sequence of numbers, called marks (k-scores), attached to vertices of a k-digraph. We characterize irreducible mark sequences in k-digraphs and uniquely realizable mark sequences in 2-digraphs.
%U http://arxiv.org/abs/math/0609128v1