Complexity of Deciding Sense of Direction

Paolo Boldi, Sebastiano Vigna · SIAM Journal on Computing · 2000

In this paper we prove that deciding whether a distributed system (represented as a colored digraph with n nodes) has weak sense of direction is in AC 1 (using n 6 processors). Moreover, we show that deciding sense of direction is in P. Our algorithms can also be used to decide in AC 1 whether a colored graph is a Cayley color graph.

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