Dominating Functions and Graphs

Reinhard Diestel, Saharon Shelah, Juris Steprāns

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A graph is called dominating if its vertices can be labelled with integers in such a way that for every function the graph contains a ray whose sequence of labels eventually exceeds. We obtain a characterization of these graphs by producing a small family of dominating graphs with the property that every dominating graph must contain some member of the family.

Original languageEnglish
Pages (from-to)16-24
Number of pages9
JournalJournal of the London Mathematical Society
Volume49
Issue number1
DOIs
StatePublished - Feb 1994

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