REAL

Planarity can be verified by an approximate proof labeling scheme in constant-time

Elek, Gábor (2022) Planarity can be verified by an approximate proof labeling scheme in constant-time. JOURNAL OF COMBINATORIAL THEORY SERIES A, 191. ISSN 0097-3165

[img]
Preview
Text
2006_11869v2.pdf

Download (219kB) | Preview

Abstract

Approximate proof labeling schemes were introduced by Censor-Hillel, Paz and Perry [3]. Roughly speaking, a graph property P 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 P or at least they are not far from being having the property P. 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. © 2022 Elsevier Inc.

Item Type: Article
Uncontrolled Keywords: approximate proof labeling schemes, planar graphs, Property A, hyperfiniteness
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 13 Mar 2023 15:09
Last Modified: 06 Apr 2023 14:36
URI: http://real.mtak.hu/id/eprint/162080

Actions (login required)

Edit Item Edit Item