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Cliques and a new measure of clustering: With application to U.S. domestic airlines

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  • Lawford, Steve
  • Mehmeti, Yll
Abstract
We propose a higher-order generalization of the well-known overall clustering coefficient for triples C(3) to any number of nodes. We give analytic formulae for the special cases of three, four, and five nodes and show that they have very fast runtime performance for small graphs. We discuss some theoretical properties and limitations of the new measure, and use it to provide insight into dynamic changes in the structure of U.S. airline networks.

Suggested Citation

  • Lawford, Steve & Mehmeti, Yll, 2020. "Cliques and a new measure of clustering: With application to U.S. domestic airlines," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    • Handle: RePEc:eee:phsmap:v:560:y:2020:i:c:s0378437120306051
    DOI: 10.1016/j.physa.2020.125158
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    References listed on IDEAS

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    More about this item

    Keywords

    Airline network; Clique; Higher-order clustering; Graph theory; Subgraph;
    All these keywords.

    JEL classification:

    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
    • L93 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Air Transportation
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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