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Directed path graph isomorphism

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Graph-Theoretic Concepts in Computer Science (WG 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 903))

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Abstract

This paper deals with the isomorphism problem of directed path graphs and rooted directed path graphs. Both graph classes belong to the class of chordal graphs, and for both classes the relative complexity of the isomorphism problem is yet unknown. We prove that deciding isomorphism of directed path graphs is isomorphism complete, whereas for rooted directed path graphs we present a polynomial-time isomorphism algorithm.

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Ernst W. Mayr Gunther Schmidt Gottfried Tinhofer

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© 1995 Springer-Verlag Berlin Heidelberg

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Babel, L., Ponomarenko, I., Tinhofer, G. (1995). Directed path graph isomorphism. In: Mayr, E.W., Schmidt, G., Tinhofer, G. (eds) Graph-Theoretic Concepts in Computer Science. WG 1994. Lecture Notes in Computer Science, vol 903. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59071-4_64

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  • DOI: https://doi.org/10.1007/3-540-59071-4_64

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59071-2

  • Online ISBN: 978-3-540-49183-5

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