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On some third parts of nearly complete digraphs. (English) Zbl 0940.05054

The authors proceed with their investigation of third and near-third parts of complete digraphs [see Combinatorica 18, No. 3, 413-424 (1998; Zbl 0924.05052)]. Neat new results concerning mainly the complete digraphs with \(5\) and with \(9+6k\), \(k\in\{0,1,\dots \}\) vertices are presented. Also an outline of an algorithm to find the \(t\)th parts of a digraph is included. Parts are asked to be self-converse or to have (or not to have) a couple of symmetric arcs. The backtracking method is applied.

MSC:

05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
05C20 Directed graphs (digraphs), tournaments

Citations:

Zbl 0924.05052
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