Mathematics > Combinatorics
[Submitted on 21 Jun 2020 (v1), last revised 24 May 2022 (this version, v2)]
Title:Planarity can be Verified by an Approximate Proof Labeling Scheme in Constant-Time
View PDFAbstract:Approximate proof labeling schemes were introduced by \\Censor-Hillel, Paz and Perry \cite{CPP}. Roughly speaking, a graph property~$\cP$ can be verified by an approximate proof labeling scheme in constant-time if the vertices of a graph having the property can be convinced, in a short period of time not depending on the size of the graph, that they are having the property $\cP$ or at least they are not far from being having the property $\cP$. The main result of this paper is that bounded-degree planar graphs (and also outer-planar graphs, bounded genus graphs, knotlessly embeddable graphs etc.) can be verified by an approximate proof labeling scheme in constant-time.
Submission history
From: Gabor Elek [view email][v1] Sun, 21 Jun 2020 18:34:42 UTC (11 KB)
[v2] Tue, 24 May 2022 12:32:30 UTC (14 KB)
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