maximal induced colorable subhypergraphs of all uncolorable bsts(15)s

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ID: 182718
2011
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Abstract
A Bi-Steiner Triple System ($BSTS$) is a Steiner Triple System with vertices colored in such a way that the vertices of each block receive precisely two colors. When we consider all $BSTS (15)$s as mixed hypergraphs, we find that some are colorable while others are uncolorable. The criterion for colorability for a $BSTS (15)$ by Rosa is containing $BSTS (7)$ as a subsysytem. Of the 80 non-isomorphic $BSTS (15)$s, only 23 meet this criterion and are therefore colorable. The other 57 are uncolorable. The question arose of finding maximal induced colorable subhypergraphs of these 57 uncolorable $BSTS (15)$s. This paper gives feasible partitions of maximal induced colorable subhypergraphs of each uncolorable $BSTS (15)$.
Reference Key
mathews2011computermaximal Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Jeremy Mathews
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Journal integrative medicine research
Year 2011
DOI
DOI not found
URL
http://www.math.md/files/csjm/v19-n1/v19-n1-(pp29-37).pdf
Keywords
computer science electronic computers

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