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Isomorphism for Graphs of Bounded Connected-Path-Distance-Width

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Algorithms and Computation (ISAAC 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7676))

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Abstract

We show that Graph Isomorphism problem (GI) can be solved in \(\mathcal{O}(n^{2})\) time for graphs of bounded connected-path-distance-width, and more generally, in \(\mathcal{O}(n^{c + 1})\) time for graphs of bounded c-connected-path-distance-width, where n is the number of vertices. These results extend the result of Yamazaki, Bodlaender, de Fluiter, and Thilikos [Isomorphism for graphs of bounded distance width. Algorithmica 24, 105–127 (1999)], who showed the fixed-parameter tractability of GI parameterized by rooted-path-distance-width.

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Author information

Authors and Affiliations

  1. School of Information Science, Japan Advanced Institute of Science and Technology, Asahidai 1-1, Nomi, Ishikawa, 923-1292, Japan

    Yota Otachi

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  1. Yota Otachi
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Editors and Affiliations

  1. Department of Computer Science and Information Engineering, National Taiwan University, 1 Roosevelt Road, Section 4, 106, Taipei, Taiwan

    Kun-Mao Chao

  2. Institute of Information Science, Academia Sinica, 128 Academia Road, Section 2, 115, Taipei, Taiwan

    Tsan-sheng Hsu

  3. Department of Computer Science and Engineering, National Chung Hsing University, 250 Kuo Kuang Road, 402, Taichung, Taiwan

    Der-Tsai Lee

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Otachi, Y. (2012). Isomorphism for Graphs of Bounded Connected-Path-Distance-Width. In: Chao, KM., Hsu, Ts., Lee, DT. (eds) Algorithms and Computation. ISAAC 2012. Lecture Notes in Computer Science, vol 7676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35261-4_48

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  • DOI: https://doi.org/10.1007/978-3-642-35261-4_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35260-7

  • Online ISBN: 978-3-642-35261-4

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