A tight meta-theorem for LOCAL certification of MSO2 properties within bounded treewidth graphs

Distributed networks are prone to errors so verifying their output is critical. We develop local certification protocols for graph properties in which nodes are given certificates that allow them to check whether the network as a whole satisfies some fixed property while only communicating with their local network. Instead of considering a specific problem and developing a local certification protocol tailor-made for the problem, we aim for generic protocols that can certify any property expressible in a certain logical framework.

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Publication Details

Published
2025-06-13
DOI
https://doi.org/10.1145/3732772.3733562
Citations
1
Primary Topic
Advanced Graph Theory Research
Type
article
Field-Weighted Citation Impact
1.50

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article

A tight meta-theorem for LOCAL certification of MSO2 properties within bounded treewidth graphs

Tomáš Masařík, L. F. Cook, Eun Jung Kim
1 citations
Advanced Graph Theory Research
1.50
article

A tight meta-theorem for LOCAL certification of MSO2 properties within bounded treewidth graphs

Tomáš Masařík, L. F. Cook, Eun Jung Kim
article en
1 citations

Abstract

Distributed networks are prone to errors so verifying their output is critical. We develop local certification protocols for graph properties in which nodes are given certificates that allow them to check whether the network as a whole satisfies some fixed property while only communicating with their local network. Instead of considering a specific problem and developing a local certification protocol tailor-made for the problem, we aim for generic protocols that can certify any property expressible in a certain logical framework.

Centre National de la Recherche Scientifique (FR), Korea Advanced Institute of Science and Technology (KR), Institute for Basic Science (KR), University of Warsaw (PL), University of Amsterdam (NL)
European Commission, National Research Foundation, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Institute for Basic Science
Openalex Percentile: Top 16%
Advanced Graph Theory Research
1.50
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