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Strongly n-e.c. Graphs and Independent Distinguishing Labellings

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Algorithms and Models for the Web Graph (WAW 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11631))

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Abstract

A countable graph G is n-ordered if its vertices can be enumerated so each vertex has no more than n neighbours appearing earlier in the enumeration. Here we consider both deterministic and probabilistic methods to produce n-ordered countable graphs with universal adjacency properties. In the countably infinite case, we show that such universal adjacency properties imply the existence an independent 2-distinguishing labelling.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, Canada

    Christopher Duffy

  2. Department of Mathematics and Statistics, Dalhousie University, Halifax, Canada

    Jeannette Janssen

Authors
  1. Christopher Duffy
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  2. Jeannette Janssen
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Corresponding author

Correspondence to Christopher Duffy .

Editor information

Editors and Affiliations

  1. Inria, Sophia Antipolis, France

    Konstantin Avrachenkov

  2. Ryerson University, Toronto, ON, Canada

    Paweł Prałat

  3. The University of Queensland, Brisbane, QLD, Australia

    Nan Ye

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Duffy, C., Janssen, J. (2019). Strongly n-e.c. Graphs and Independent Distinguishing Labellings. In: Avrachenkov, K., Prałat, P., Ye, N. (eds) Algorithms and Models for the Web Graph. WAW 2019. Lecture Notes in Computer Science(), vol 11631. Springer, Cham. https://doi.org/10.1007/978-3-030-25070-6_4

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  • DOI: https://doi.org/10.1007/978-3-030-25070-6_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-25069-0

  • Online ISBN: 978-3-030-25070-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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