Dedicated to the memory of Paul Erdős
Erdős, Hajnal and Pósa exhibited in [1] a partition (U,D) of the edges of the Rado graph which is a counterexample to . They also obtained that if every vertex of a graph has either in or in the complement of finite degree then .
We will characterize all graphs so that .
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received October 29, 1999
RID="†"
ID="†" Supported by NSERC of Canada Grant #691325.
Rights and permissions
About this article
Cite this article
Sauer, N. Another Look at the Erdős–Hajnal–Pósa Results on Partitioning Edges of the Rado Graph. Combinatorica 21, 293–308 (2001). https://doi.org/10.1007/s004930100026
Issue Date:
DOI: https://doi.org/10.1007/s004930100026