# Exact algorithms for maximum independent set

@article{Xiao2017ExactAF, title={Exact algorithms for maximum independent set}, author={Mingyu Xiao and Hiroshi Nagamochi}, journal={ArXiv}, year={2017}, volume={abs/1312.6260} }

Abstract We show that the maximum independent set problem on an n-vertex graph can be solved in 1.1996 n n O ( 1 ) time and polynomial space, which even is faster than Robson's 1.2109 n n O ( 1 ) -time exponential-space algorithm published in 1986. We also obtain improved algorithms for MIS in graphs with maximum degree 6 and 7, which run in time of 1.1893 n n O ( 1 ) and 1.1970 n n O ( 1 ) , respectively. Our algorithms are obtained by using fast algorithms for MIS in low-degree graphs in a… Expand

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