中文

Dominating functions and graphs

逻辑 2016-09-06 v1

摘要

A graph is called dominating if its vertices can be labelled with integers in such a way that for every function f: omega-> omega the graph contains a ray whose sequence of labels eventually exceeds f. 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.

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引用

@article{arxiv.math/9308215,
  title  = {Dominating functions and graphs},
  author = {Reinhard Diestel and Saharon Shelah and Juris Steprāns},
  journal= {arXiv preprint arXiv:math/9308215},
  year   = {2016}
}