Survival Numbers of Groups and Graphs with Emphasis on Z^d and Diestel-Leader Graphs.

Buckles, Kevin.


  • Abstract: The survival number of a metric space is a newly created statistic. For a given space, it equals the minimum amount of convex regions necessary to bound another convex region. Survival number is initially defined in terms of tessellations but can also be defined as a covering property. In this dissertation, we examine simple, connected graphs equipped with the path metric and finitely ge... read more
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