Pull-Push Method: A new approach to Edge-Isoperimetric Problems

Pull-Push Method: A new approach to Edge-Isoperimetric Problems

We prove a generalization of the Ahlswede-Cai local-global principle. A new technique to handle edge-isoperimetric problems is introduced which we call the pull-push method. Our main result includes all previously published results in this area as special cases with the only exception of the edge-is...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Bezrukov, Sergei L, Kuzmanovski, Nikola, Lim, Jounglag
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Bezrukov, Sergei L
Kuzmanovski, Nikola
Lim, Jounglag
description We prove a generalization of the Ahlswede-Cai local-global principle. A new technique to handle edge-isoperimetric problems is introduced which we call the pull-push method. Our main result includes all previously published results in this area as special cases with the only exception of the edge-isoperimetric problem for grids. With this we partially answer a question of Harper on local-global principles. We also describe a strategy for further generalization of our results so that the case of grids would be covered, which would completely settle Harper's question.
doi_str_mv 10.48550/arxiv.2307.05289
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2307_05289</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2307_05289</sourcerecordid><originalsourceid>FETCH-LOGICAL-a679-9efc42f70011c49033ce7d708f5ce2d151ae786d34cc3e8b36e1f36b58adda83</originalsourceid><addsrcrecordid>eNotz71OwzAUhmEvDKhwAUz4BhzsnDh2WFBVFahURKR2j07sYxIpxZGT8nP3QMv0ba--h7EbJbPCai3vMH31H1kO0mRS57a6ZA_1cRhEfZw6_kJzF_09X_J3-uQ4jimi6_gc-dq_kdhMcaTUH2hOveN1iu1Ah-mKXQQcJrr-3wXbPa73q2exfX3arJZbgaWpREXBFXkwUirlikoCODLeSBu0o9wrrZCMLT0UzgHZFkpSAcpWW_QeLSzY7bl6AjTj7w1M380fpDlB4AcPX0Ln</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Pull-Push Method: A new approach to Edge-Isoperimetric Problems</title><source>arXiv.org</source><creator>Bezrukov, Sergei L ; Kuzmanovski, Nikola ; Lim, Jounglag</creator><creatorcontrib>Bezrukov, Sergei L ; Kuzmanovski, Nikola ; Lim, Jounglag</creatorcontrib><description>We prove a generalization of the Ahlswede-Cai local-global principle. A new technique to handle edge-isoperimetric problems is introduced which we call the pull-push method. Our main result includes all previously published results in this area as special cases with the only exception of the edge-isoperimetric problem for grids. With this we partially answer a question of Harper on local-global principles. We also describe a strategy for further generalization of our results so that the case of grids would be covered, which would completely settle Harper's question.</description><identifier>DOI: 10.48550/arxiv.2307.05289</identifier><language>eng</language><subject>Mathematics - Combinatorics</subject><creationdate>2023-07</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2307.05289$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2307.05289$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bezrukov, Sergei L</creatorcontrib><creatorcontrib>Kuzmanovski, Nikola</creatorcontrib><creatorcontrib>Lim, Jounglag</creatorcontrib><title>Pull-Push Method: A new approach to Edge-Isoperimetric Problems</title><description>We prove a generalization of the Ahlswede-Cai local-global principle. A new technique to handle edge-isoperimetric problems is introduced which we call the pull-push method. Our main result includes all previously published results in this area as special cases with the only exception of the edge-isoperimetric problem for grids. With this we partially answer a question of Harper on local-global principles. We also describe a strategy for further generalization of our results so that the case of grids would be covered, which would completely settle Harper's question.</description><subject>Mathematics - Combinatorics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz71OwzAUhmEvDKhwAUz4BhzsnDh2WFBVFahURKR2j07sYxIpxZGT8nP3QMv0ba--h7EbJbPCai3vMH31H1kO0mRS57a6ZA_1cRhEfZw6_kJzF_09X_J3-uQ4jimi6_gc-dq_kdhMcaTUH2hOveN1iu1Ah-mKXQQcJrr-3wXbPa73q2exfX3arJZbgaWpREXBFXkwUirlikoCODLeSBu0o9wrrZCMLT0UzgHZFkpSAcpWW_QeLSzY7bl6AjTj7w1M380fpDlB4AcPX0Ln</recordid><startdate>20230711</startdate><enddate>20230711</enddate><creator>Bezrukov, Sergei L</creator><creator>Kuzmanovski, Nikola</creator><creator>Lim, Jounglag</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20230711</creationdate><title>Pull-Push Method: A new approach to Edge-Isoperimetric Problems</title><author>Bezrukov, Sergei L ; Kuzmanovski, Nikola ; Lim, Jounglag</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a679-9efc42f70011c49033ce7d708f5ce2d151ae786d34cc3e8b36e1f36b58adda83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics - Combinatorics</topic><toplevel>online_resources</toplevel><creatorcontrib>Bezrukov, Sergei L</creatorcontrib><creatorcontrib>Kuzmanovski, Nikola</creatorcontrib><creatorcontrib>Lim, Jounglag</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bezrukov, Sergei L</au><au>Kuzmanovski, Nikola</au><au>Lim, Jounglag</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pull-Push Method: A new approach to Edge-Isoperimetric Problems</atitle><date>2023-07-11</date><risdate>2023</risdate><abstract>We prove a generalization of the Ahlswede-Cai local-global principle. A new technique to handle edge-isoperimetric problems is introduced which we call the pull-push method. Our main result includes all previously published results in this area as special cases with the only exception of the edge-isoperimetric problem for grids. With this we partially answer a question of Harper on local-global principles. We also describe a strategy for further generalization of our results so that the case of grids would be covered, which would completely settle Harper's question.</abstract><doi>10.48550/arxiv.2307.05289</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.2307.05289
ispartof
issn
language eng
recordid cdi_arxiv_primary_2307_05289
source arXiv.org
subjects Mathematics - Combinatorics
title Pull-Push Method: A new approach to Edge-Isoperimetric Problems
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-13T06%3A37%3A29IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Pull-Push%20Method:%20A%20new%20approach%20to%20Edge-Isoperimetric%20Problems&rft.au=Bezrukov,%20Sergei%20L&rft.date=2023-07-11&rft_id=info:doi/10.48550/arxiv.2307.05289&rft_dat=%3Carxiv_GOX%3E2307_05289%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true