Refinement of Metrics: Erdős Number, a Case Study

  • Kayla Lock Arizona State University
  • Wai Yan Pong California State University, Dominguez Hills
  • Alexander Wittmond University of Missouri
Keywords: refinement; metrics; Erdős number; monoid norms; monotonic monoid norms


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.

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. Retrieved from