Abstract

AbstractA polynomial time approximation algorithm A for the problem of finding a maximal independent set for cubic planar graphs is presented. It is shown that MA > 6/7 in the case of cubic planar graphs and MA = 7/8 in the case of triangle free cubic planar graphs where MA is the worst‐case ratio of the size of the independent set found by A to the size of the maximum independent set for the graph input to A.

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