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arXiv · 2209.14703

Fully Lattice Linear Algorithms

Arya Tanmay Gupta·Sandeep S Kulkarni
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Abstract

This paper focuses on analyzing and differentiating between lattice linear problems and algorithms. It introduces a new class of algorithms called \textit{(fully) lattice linear algorithms}. A property of these algorithms is that they induce a partial order among all states and form \textit{multiple lattices}. An initial state locks in one of these lattices. We present a lattice linear self-stabilizing algorithm for minimal dominating set.

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Arya Tanmay Gupta, Sandeep S Kulkarni. 2022-09-29. Fully Lattice Linear Algorithms. https://arxiv.org/abs/2209.14703

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