# Balanced Dynamic Content Addressing in Trees

## TL;DR

This paper introduces a balanced content addressing scheme for trees that combines greedy embeddings with dynamic stabilization, optimizing load distribution and efficiency in network routing.

## Contribution

It proposes a novel greedy embedding method with balanced content addressing that efficiently adapts to network dynamics, balancing stabilization complexity and load.

## Key findings

- Derived upper bounds on imbalance and stabilization complexity.
- Validated bounds through simulations on real-world and synthetic data.
- Demonstrated improved load balancing in dynamic networks.

## Abstract

Balancing the load in content addressing schemes for route-restricted networks represents a challenge with a wide range of applications. Solutions based on greedy embeddings maintain minimal state information and enable efficient routing, but any such solutions currently result in either imbalanced content addressing, overloading individual nodes, or are unable to efficiently account for network dynamics. In this work, we propose a greedy embedding in combination with a content addressing scheme that provides balanced content addressing while at the same time enabling efficient stabilization in the presence of network dynamics. We point out the trade-off between stabilization complexity and maximal permitted imbalance when deriving upper bounds on both metrics for two variants of the proposed algorithms. Furthermore, we substantiate these bounds through a simulation study based on both real-world and synthetic data.