Extending bicolorings for Steiner Triple Systems
Combinatorics
2013-09-02 v3
Abstract
We initiate the study of extended bicolorings of Steiner triple systems (STS) which start with a -bicoloring of an STS() and end up with a -bicoloring of an STS() obtained by a doubling construction, using only the original colors used in coloring the subsystem STS(). By producing many such extended bicolorings, we obtain several infinite classes of orders for which there exist STSs with different lower and upper chromatic number.
Cite
@article{arxiv.1106.1762,
title = {Extending bicolorings for Steiner Triple Systems},
author = {M. Gionfriddo and E. Guardo and L. Milazzo},
journal= {arXiv preprint arXiv:1106.1762},
year = {2013}
}
Comments
We replace the old version "Extended colorings for $BSTS(2v+1)$"; the related appendix is arxiv:1308.4793. To appear in Applicable Analysis and Discrete Mathematics