Faster FPT Algorithm for Graph Isomorphism Parameterized by Eigenvalue Multiplicity

preprint2014arXivOpen access

Abstract

We give a O∗(kO(k))O^*(k^{O(k)}) time isomorphism testing algorithm for graphs of eigenvalue multiplicity bounded by kk which improves on the previous best running time bound of O∗(2O(k2/log⁡k))O^*(2^{O(k^2/\log k)}).

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