# Sh:557

• Niedermeyer, F., Shelah, S., & Steffens, K. (2006). The f-factor problem for graphs and the hereditary property. Arch. Math. Logic, 45(6), 665–672.
• 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 \aleph_1. 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 \aleph_2-case.
• published version (8p)
Bib entry
@article{Sh:557,
author = {Niedermeyer, Frank and Shelah, Saharon and Steffens, Karsten},
title = {{The $f$-factor problem for graphs and the hereditary property}},
journal = {Arch. Math. Logic},
fjournal = {Archive for Mathematical Logic},
volume = {45},
number = {6},
year = {2006},
pages = {665--672},
issn = {0933-5846},
doi = {10.1007/s00153-006-0009-z},
mrclass = {05C70 (03E10)},
mrnumber = {2252248},
mrreviewer = {Lutz Volkmann},
doi = {10.1007/s00153-006-0009-z},
note = {\href{https://arxiv.org/abs/math/0404179}{arXiv: math/0404179}},
arxiv_number = {math/0404179}
}