Abstract

An algorithm is presented which finds (the size of) a maximum independent set of an n vertex graph in time O(2 0.276 n ) improving on a previous bound of O(2 n 3 ) . The improvement comes principally from three sources: first, a modified recursive algorithm based on a more detailed study of the possible subgraphs around a chosen vertex; second, an improvement, not in the algorithm but in the time bound proved, by an argument about connected regular graphs; third, a time-space trade-off which can speed up recursive algorithms from a fairly wide class.

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