Local-to-Global Principles for the Hitting Sequence of a Rotor Walk

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Local-to-Global Principles for the Hitting Sequence of a Rotor Walk

In rotor walk on a finite directed graph, the exits from each vertex follow a prescribed periodic sequence. Here we consider the case of rotor walk where a particle starts from a designated source vertex and continues until it hits a designated target set, at which point the walk is restarted from the source. We show that the sequence of successively hit targets, which is easily seen to be even...

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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2012

ISSN: 1077-8926

DOI: 10.37236/12