Autonomous Domination

Peter Ulrickson

Autonomous Domination

Combinatorics 2021-09-15 v1

Authors: Peter Ulrickson

Abstract

The well-known notion of domination in a graph abstracts the idea of protecting locations with guards. This paper introduces a new graph invariant, the autonomous domination number, which abstracts the idea of defending a collection of locations with autonomous agents following a simple protocol to coordinate their defense using only local information.

Keywords

domination in graphs

Cite

@article{arxiv.2109.06779,
  title  = {Autonomous Domination},
  author = {Peter Ulrickson},
  journal= {arXiv preprint arXiv:2109.06779},
  year   = {2021}
}

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