Canonization for Bounded and Dihedral Color Classes in Choiceless Polynomial Time
Moritz Lichter,
Pascal Schweitzer
Abstract:In the quest for a logic capturing Ptime the next natural classes of structures to consider are those with bounded color class size. We present a canonization procedure for graphs with dihedral color classes of bounded size in the logic of Choiceless Polynomial Time (CPT), which then captures Ptime on this class of structures. This is the first result of this form for non-abelian color classes.The first step proposes a normal form which comprises a "rigid assemblage". This roughly means that the local automorp… Show more
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