Refinement of Metrics: Erdős Number, a Case Study

Authors

  • Kayla Lock Arizona State University
  • Wai Yan Pong California State University, Dominguez Hills
  • Alexander Wittmond University of Missouri

DOI:

https://doi.org/10.46787/pump.v2i0.1362

Keywords:

refinement; metrics; Erdős number; monoid norms; monotonic monoid norms

Abstract

We introduce a concept called refinement and provide two different ways of refining metrics. By applying these methods we produce several refinements of the shortest-path distance on the collaboration graph and hence a couple of  new versions of the Erdős number.

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Published

2019-08-14

How to Cite

Lock, K., Pong, W. Y., & Wittmond, A. (2019). Refinement of Metrics: Erdős Number, a Case Study. The PUMP Journal of Undergraduate Research, 2, 118–130. https://doi.org/10.46787/pump.v2i0.1362

Issue

Vol. 2 (2019): PUMP Journal of Undergraduate Research

Section

Articles

License

The author(s) will retain the copyright, but by submitting the article agree to grant permission to the PUMP Journal of Undergraduate Research to publish, distribute, and archive the article. The author(s) will acknowledge prior publication in the PUMP Journal of Undergraduate Research for all future uses of the article or parts of it.