A Note on Undirected Graphs Realizable as P.O. Sets

Author:

Haff C. E.,Murty U. S. R.,Wilton R. C.

Abstract

Let (P, ≥) be a p.o. set. The basis graph of (P, ≥) is defined to be the directed graph whose vertex set is P and in which the ordered pair 〈a, b〉 is an edge if and only if b covers a in (P, ≥).Let D be a directed graph. All graphs considered in this note are finite and are free of loops and multiple edges.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On graphs that can be oriented as diagrams of ordered sets;Order;1985

2. The Diagram;Graphs and Order;1985

3. Introduction;Graphs and Order;1985

4. A characterization of hypercubes;Discrete Mathematics;1977

5. Graph theory;Journal of Soviet Mathematics;1974

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