Convergence Times of Decentralized Graph Coloring Algorithms

Author

Paul B. de Supinski, Dartmouth College

Date of Award

5-1-2019

Document Type

Thesis (Undergraduate)

Department or Program

Department of Computer Science

First Advisor

Deeparnab Chakrabarty

Abstract

Ordinary graph coloring algorithms are nothing without their calculations, memorizations, and inter-vertex communications. We investigate a class of ultra simple algorithms which can find (Delta+1)-colorings despite drastic restrictions. For each procedure, conflicted vertices randomly recolor one at a time until the graph coloring is valid. We provide an array of run time bounds for these processes, including an O(n*log(Delta)) bound for a variant we propose, and an O(n*Delta) bound which applies to even the most adversarial scenarios.

Comments

Originally posted in the Dartmouth College Computer Science Technical Report Series, number TR2019-864.

Recommended Citation

de Supinski, Paul B., "Convergence Times of Decentralized Graph Coloring Algorithms" (2019). Dartmouth College Undergraduate Theses. 141.
https://digitalcommons.dartmouth.edu/senior_theses/141