On some third parts of nearly complete digraphs
نویسندگان
چکیده
For the complete digraph DKn with n¿3, its half as well as its third (or near-third) part, both non-self-converse, are exhibited. A backtracking method for generating a tth part of a digraph is sketched. It is proved that some self-converse digraphs are not among the near-third parts of the complete digraph DK5 in four of the six possible cases. For n = 9 + 6k; k = 0; 1; : : : ; a third part D of DKn is found such that D is a self-converse oriented graph and all D-decompositions of DKn have trivial automorphism group. c © 2000 Elsevier Science B.V. All rights reserved.
منابع مشابه
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 212 شماره
صفحات -
تاریخ انتشار 2000