On the Maximum Number of Cyclic Triples in Oriented Graphs

Lowell W. Beineke; Frank Harary

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On the Maximum Number of Cyclic Triples in Oriented Graphs

机译：关于有向图的最大循环三元数

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摘要

The maximum number of triples in an oriented graph of a given order is well known. being realized by the regular and near-regular tournaments. We consider the corresponding problem of determining the maximum number of cyclic triples in an oriented graph with a given number of arcs. A formula is found provided that the number of vertices is not too small relative to the number of arcs.

机译：给定阶数的定向图中三元组的最大数目是众所周知的。通过常规比赛和近乎常规比赛来实现。我们考虑确定相应弧度的定向图中最大循环三元组数的问题。如果顶点的数量相对于圆弧的数量不太小，则可以找到一个公式。

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《Journal of Combinatorial Theory, Series B》 |2001年第2期|共12页
作者
Lowell W. Beineke; Frank Harary;
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正文语种 eng
中图分类数理逻辑、数学基础;
关键词
oriented graphs; cyclic triples;

机译：有向图;循环三元组;

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7. On the Maximum Number of Cyclic Triples in Oriented Graphs [O] . Beineke Lowell W., Harary Frank 2001

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8. DENDRAL-64 - A system for computer construction, enumeration and notation of organic molecules as tree structures and cyclic graphs. Part II - Topology of cyclic graphs Interim report [R] . Lederberg, J. 1965

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On the Maximum Number of Cyclic Triples in Oriented Graphs

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