The f-factor problem for graphs and the hereditary property

Frank Niedermeyer; Saharon Shelah; Karsten Steffens

doi:10.1007/s00153-006-0009-z

The f-factor problem for graphs and the hereditary property

Frank Niedermeyer
, Saharon Shelah
, Karsten Steffens^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

If P is a hereditary property then we show that, for the existence of a perfect f-factor, P is a sufficient condition for countable graphs and yields a sufficient condition for graphs of size NN₁. Further we give two examples of a hereditary property which is even necessary for the existence of a perfect f-factor. We also discuss the NN₁₂-case.

Original language	English
Pages (from-to)	665-672
Number of pages	8
Journal	Archive for Mathematical Logic
Volume	45
Issue number	6
DOIs	https://doi.org/10.1007/s00153-006-0009-z
State	Published - Aug 2006

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abstract = "If P is a hereditary property then we show that, for the existence of a perfect f-factor, P is a sufficient condition for countable graphs and yields a sufficient condition for graphs of size NN1. Further we give two examples of a hereditary property which is even necessary for the existence of a perfect f-factor. We also discuss the NN12-case.",

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The f-factor problem for graphs and the hereditary property

Abstract

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