Algorithmic Techniques for Several Optimization Problems Regarding Distributed Systems with Tree Topologies

TL;DR

This paper introduces new algorithmic techniques for solving various optimization problems in distributed systems with tree topologies, addressing both theoretical and practical challenges.

Contribution

It presents novel algorithms for reliability, partitioning, coloring, content delivery, and matching in distributed systems with tree structures, some of which are practically applicable.

Findings

Algorithms for reliability improvement and partitioning demonstrated effectiveness.

Techniques for content delivery and optimal matchings developed.

Some methods are purely theoretical, others suitable for real-world deployment.

Abstract

As the development of distributed systems progresses, more and more challenges arise and the need for developing optimized systems and for optimizing existing systems from multiple perspectives becomes more stringent. In this paper I present novel algorithmic techniques for solving several optimization problems regarding distributed systems with tree topologies. I address topics like: reliability improvement, partitioning, coloring, content delivery, optimal matchings, as well as some tree counting aspects. Some of the presented techniques are only of theoretical interest, while others can be used in practical settings.