English

Enabling Skip Graphs to Process K-Dimensional Range Queries in a Mobile Sensor Network

Information Theory 2024-11-27 v1 Discrete Mathematics Data Structures and Algorithms Networking and Internet Architecture math.IT

Abstract

A skip graph is a resilient application-layer routing structure that supports range queries of distributed k-dimensional data. By sorting deterministic keys into groups based on locally computed random membership vectors, nodes in a standard skip graph can optimize range query performance in mobile networks such as unmanned aerial vehicle swarms. We propose a skip graph extension that inverts the key and membership vector roles and bases group membership on deterministic vectors derived from the z-ordering of k-dimensional data and sorting within groups is based on locally computed random keys.

Keywords

Cite

@article{arxiv.2411.16990,
  title  = {Enabling Skip Graphs to Process K-Dimensional Range Queries in a Mobile Sensor Network},
  author = {Gregory J. Brault and Christopher James Augeri and Barry E. Mullins and Rusty O. Baldwin and Christopher B. Mayer},
  journal= {arXiv preprint arXiv:2411.16990},
  year   = {2024}
}

Comments

archival pre-print of this k-D distributed prefix-free distributed encoding technique ahead of another arXiv release which will cite this work, specifically with respect to using a more extensive prefix-free encoding technique to localize token partitions in an arbitrary input/output context of an LLM, SSM, or other k-D tokenized model

R2 v1 2026-06-28T20:12:25.283Z