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Isomorphism for Graphs of Bounded Feedback Vertex Set Number
[chapter]

2010
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Lecture Notes in Computer Science
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We prove that the Graph Isomorphism problem is fixed-parameter tractable when parameterized by the feedback vertex set number. That parameter is defined as the number of vertex deletions required to obtain a forest. For graphs of bounded feedback vertex set number the presented algorithm runs in time O(n 2 ), and is thereby the first fixed-parameter tractable Graph Isomorphism algorithm for a non-trivial parameter. Central to the algorithm is a new technique consisting of an application of

doi:10.1007/978-3-642-13731-0_9
fatcat:ys6cnyk3qfaatfczzh24vkxlvm