On a generalization of transitivity for digraphs
نویسندگان
چکیده
In this paper we investigate the following generalization of transitivity: A digraph D is (m, n )-transitive whenever there is a path of length m from x to y there is a subset of n + I vertices of these m +I vertices which contain a path of length n from x toy. Here we study various properties of (m, n )-transitive digraphs. In particular, (m, I)-transitive tournaments are characterized. Their similarities to transitive tournaments are analyzed and discussed. Various other results pertaining to (m, I)-transitive digraphs are given.
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عنوان ژورنال:
- Discrete Mathematics
دوره 69 شماره
صفحات -
تاریخ انتشار 1988