Ramsey numbers of partial order graphs (comparability graphs) and implications in ring theory

For a partially ordered set (A,≤)(A,\le ), let GA{G}_{A} be the simple, undirected graph with vertex set A such that two vertices a≠b∈Aa\ne b\in A are adjacent if either a≤ba\le b or b≤ab\le a. We call GA{G}_{A} the partial order graph or comparability graph of A. Furthermore, we say that a graph G...

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Bibliographic Details
Main Authors: Badawi Ayman, Rissner Roswitha
Format: Article
Language:English
Published: De Gruyter 2020-12-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0085/math-2020-0085.xml?format=INT