🍩 Database of Original & Non-Theoretical Uses of Topology

1. Topology in Cyber Research (2022)

   Steve Huntsman, Jimmy Palladino, Michael Robinson

   Abstract

   We give an idiosyncratic overview of applications of topology to cyber research, spanning the analysis of variables/assignments and control flow in computer programs, a brief sketch of topological data analysis in one dimension, and the use of sheaves to analyze wireless networks. The text is from a chapter in the forthcoming book Mathematics in Cyber Research, to be published by Taylor and Francis.

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   • Networks
   • Software engineering
   • Networks
   • computer programs
   • Dowker complex
   • Path homology
   • sheaves