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
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| Authors | ;Jeremy Mathews |
| Journal | integrative medicine research |
| Year | 2011 |
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