𝔖 Bobbio Scriptorium
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Semi-regular relations and digraphs

✍ Scribed by S.A Choudum; K.R Parthasarathy


Book ID
108046818
Publisher
Elsevier Science
Year
1972
Weight
477 KB
Volume
75
Category
Article
ISSN
1385-7258

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## Abstract We prove that every __r__‐biregular digraph with __n__ vertices has its directed diamter bounded by (3__n__ ‐ __r__ ‐ 3)/(__r__ +1). We show that this bound is tight for directed as well as for undirected graphs. The upper bound remains valid for Eulerian digraphs with minimum outdegree