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- W57714633 abstract "The authors give a new graph-theoretic proof of the uniqueness of a class of extremal noneven digraphs, a result originally obtained by Gibson. The method of proof is based on mathematical induction on the number N of vertices in the digraphs, and the fact that there are a limited number of ways to add a new vertex and a fixed number of arcs to a given maximal noneven digraph to obtain a larger maximal noneven digraph. A by product of this approach is a new short proof of the extremal result: noneven digraphs on N vertices can have at most ) 2 ( ) ( 2 2 1 − + = N N" @default.
- W57714633 created "2016-06-24" @default.
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- W57714633 date "2001-01-01" @default.
- W57714633 modified "2023-09-26" @default.
- W57714633 title "New Proofs of the Uniqueness of Extremal Noneven Digraphs" @default.
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