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Testing in the Bounded-Degree Graph Model with Degree Bound Two

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Considering the bounded-degree graph model, we show that if the degree bound is two, then every graph property can be tested within query complexity that only depends on the proximity parameter. Specifically, the query complexity is poly(1/ϵ), where ϵ denotes the proximity parameter. The key observation is that a graph of maximum degree two consists of a collection of paths and cycles, and that a collection of long paths and long cycles is relatively close (in this model) to a single cycle.

Original languageEnglish GB
Title of host publicationLecture Notes in Computer Science
EditorsOded Goldreich
PublisherSpringer Science and Business Media B.V.
Pages373-382
Number of pages10
Volume15700
Edition1
ISBN (Electronic)978-3-031-88946-2
ISBN (Print)978-3-031-88945-5
DOIs
StatePublished - 2025

Publication series

NameLecture Notes in Computer Science
Volume15700 LNCS
ISSN (Print)0302-9743

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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