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Recognition of Unigraphs through Superposition of Graphs (Extended Abstract)

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WALCOM: Algorithms and Computation (WALCOM 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5431))

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Abstract

Unigraphs are graphs uniquely determined by their own degree sequence up to isomorphism. In this paper a structural description for unigraphs is introduced: vertex set is partitioned into three disjoint sets while edge set is divided into two different classes. This characterization allows us to design a linear time recognition algorithm that works recursively pruning the degree sequence of the graph. The algorithm detects two particular graphs whose superposition generates the given unigraph.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Univ. of Rome “Sapienza” - Italy, via Salaria 113, 00198, Roma, Italy

    Alessandro Borri, Tiziana Calamoneri & Rossella Petreschi

Authors
  1. Alessandro Borri
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  2. Tiziana Calamoneri
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  3. Rossella Petreschi
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Editor information

Editors and Affiliations

  1. Indian Statistical Institute, 700 108, Kolkata, India

    Sandip Das

  2. Japan Advanced Institute of Science and Technology, 923-1292, Ishikawa, Japan

    Ryuhei Uehara

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Borri, A., Calamoneri, T., Petreschi, R. (2009). Recognition of Unigraphs through Superposition of Graphs (Extended Abstract). In: Das, S., Uehara, R. (eds) WALCOM: Algorithms and Computation. WALCOM 2009. Lecture Notes in Computer Science, vol 5431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00202-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-00202-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00201-4

  • Online ISBN: 978-3-642-00202-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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