A Geometry-Grounded Data Perimeter in Azure

TL;DR

This paper introduces a geometric approach to defining data perimeters in cybersecurity by using Azure's ultrametric blast radius and solving the Traveling Salesman Problem to establish a meaningful boundary for prioritization.

Contribution

It presents a novel method combining ultrametric spaces and TSP solutions to create a true geometric data perimeter in cybersecurity.

Findings

Ultrametric blast radius effectively measures data boundaries.

Solving TSP in ultrametric space yields a meaningful perimeter.

Provides a new actionable perimeter measure for SPN prioritization.

Abstract

While data perimeter is ubiquitous in cybersecurity speak, it rarely defines how boundary points are arranged. In this paper we show how Azure s blast radius ultrametric provides the distance, and how solving the Traveling Salesman Problem in this ultrametric space provides the ordering, yielding a true geometric contour: an actionable perimeter measure for SPN prioritization.