Extended colorings for $BSTS(2v+1)$

Mathematics – Combinatorics

Scientific paper

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47 pages; we add an appendix related to factorizations of Section 3

Scientific paper

A BSTS(2v+1) containing a colorable subsystem BSTS(v) with h-coloring \cal{C'} has an extended h-coloring of \cal{C'} if it is also h-colorable with a coloring \cal{C} in which the subsystem BSTS(v) is colored with \cal{C'}. In this paper we give both necessary conditions and sufficient conditions for the existence of an extended coloring. The existence of these colorings is studied either for systems of type BSTSs(2v+1) containing subsystems BSTSs(v) with 2v+1 < 103 or systems of type BSTSs(2^h+1).

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