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Graph isomorphism is in the low hierarchy

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Book cover STACS 87 (STACS 1987)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 247))

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Abstract

It is shown that the graph isomorphism problem is located in the low hierarchy in NP. This implies that this problem is not NP-complete (not even under weaker forms of polynomial-time reducibilities, such as γ-reducibility) unless the polynomial-time hierarchy collapses.

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Franz J. Brandenburg Guy Vidal-Naquet Martin Wirsing

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© 1987 Springer-Verlag Berlin Heidelberg

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Schöning, U. (1987). Graph isomorphism is in the low hierarchy. In: Brandenburg, F.J., Vidal-Naquet, G., Wirsing, M. (eds) STACS 87. STACS 1987. Lecture Notes in Computer Science, vol 247. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0039599

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  • DOI: https://doi.org/10.1007/BFb0039599

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17219-2

  • Online ISBN: 978-3-540-47419-7

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