https://m2.mtmt.hu/ hun 2026-05-02 10:56 JournalArticle 3037335 APPROVED true Funding Agency and Grant Number: European Union [TAMOP 4.2.4. A/1-11-1-2012-0001]; European Social Fund Funding text: This research was realized in the frames of TAMOP 4.2.4. A/1-11-1-2012-0001 "National Excellence Program - Elaborating and operating an inland student and researcher personal support system" The project was subsidized by the European Union and co-financed by the European Social Fund (E.Cs). Funding Agency and Grant Number: European UnionEuropean Union (EU) [TAMOP 4.2.4. A/1-11-1-2012-0001]; European Social FundEuropean Social Fund (ESF) Funding text: This research was realized in the frames of TAMOP 4.2.4. A/1-11-1-2012-0001 "National Excellence Program - Elaborating and operating an inland student and researcher personal support system" The project was subsidized by the European Union and co-financed by the European Social Fund (E.Cs). 0 2016-12-23T13:55:26.000+0000 false 3037335 2025-12-24T20:57:41.370+0000 2025-02-26T10:49:03.880+0000 2014-12-22T14:44:53.000+0000 true 10029947 Csóka Endre /api/author/10029947 Author true 10029947 2025-02-26T10:49:03.887+0000 2025-02-26T10:49:03.887+0000 true false true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType 101 true 10000059 true 1 /api/category/1 Category true 1 Endre, Csóka Invariant Gaussian processes and independent sets on regular graphs of large girth true true /api/journal/2050642 REVIEWED true false 2050642 false 2050642 true 1042-9832 1098-2418 Journal FOREIGN 47 2 284 303 284 120 2015 We prove that every 3-regular, n-vertex simple graph with sufficiently large girth contains an independent set of size at least 0.4361n. (The best known bound is 0.4352n.) In fact, computer simulation suggests that the bound our method provides is about 0.438n. Our method uses invariant Gaussian processes on the d-regular tree that satisfy the eigenvector equation at each vertex for a certain eigenvalue λ. We show that such processes can be approximated by i.i.d. factors provided that |λ|≤2d-1. We then use these approximations for λ=-2d-1 to produce factor of i.i.d. independent sets on regular trees. © 2014 Wiley Periodicals, Inc. 2016 true true true false true false GREEN GREEN 2025-12-24 true http://real.mtak.hu/33612 true 10015168 Szakonyi Erzsebet /api/admin/10015168 Admin true 10015168 50 0 40 32 10 37 41 35 38 40 40 32 32 41 9 0 50 41 40 32 0 0 0 Folyóiratcikk Journal Article 24 28 Könyvrészlet Chapter in Book 25 12 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 6 Egyéb Miscellaneous 29 4 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2013 0 1 1 1 1 2014 0 0 0 0 0 2015 0 3 2 3 2 2016 0 6 6 6 6 2017 0 5 3 5 3 2018 0 4 3 4 3 2019 0 7 5 7 5 2020 0 7 6 7 6 2021 0 2 1 2 1 2022 0 8 8 8 8 2023 0 4 3 4 3 2024 0 3 3 3 3 D1 true 10015283,10029947,10028042 false false false 2016-10-24T16:29:21.000+0000 2016-03-16T10:41:04.000+0000 Csoportok és gráfok - Lendület (HRN RAMKI); Diszkrét Matematika (RAMKI); Lendület Struktúrák Limeszei Kutatócsoport (HRN RAMKI); MTA Rényi Alfréd Matematikai Kutatóintézet; Valószínűségszámítás és Statisztika (HRN RAMKI) 4 20 5 4 0 true Language 10002 /api/language/10002 Angol English true 2 true PersonAuthorship 7737065 /api/authorship/7737065 1 0.25 true false Author 10029947 /api/author/10029947 Csóka Endre true 10029947 true Endre Csóka true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false 23962130 true PersonAuthorship 7737066 /api/authorship/7737066 2 0.25 false false Author 10028042 /api/author/10028042 Gerencsér Balázs true 10028042 true Balázs Gerencsér true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false 23962129 true PersonAuthorship 7737067 /api/authorship/7737067 3 0.25 false false Author 10015283 /api/author/10015283 Harangi Viktor true 10015283 true Viktor Harangi true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false 23962128 true PersonAuthorship 7737068 /api/authorship/7737068 4 0.25 false true Author 10043384 /api/author/10043384 Virág Bálint true 10043384 true Bálint Virág true false false AuthorshipType 1 /api/authorshiptype/1 0 true 0 true false 23962127 true PublicationIdentifier 1081554 /api/publicationidentifier/1081554 PlainSource 6 /api/publicationsource/6 PublicationSourceType 10001 /api/publicationsourcetype/10001 true true true DOI DOI https://doi.org/@@@ true true 6 true false IDENTICAL 10.1002/rsa.20547 https://doi.org/10.1002/rsa.20547 false 1332038 true PublicationIdentifier 1081555 /api/publicationidentifier/1081555 SwordSource 36 /api/publicationsource/36 PublicationSourceType 10007 /api/publicationsourcetype/10007 true true true REAL REAL http://real.mtak.hu/@@@ true true 36 true GREEN false NO 33612 http://real.mtak.hu/33612 false 1332068 true PublicationIdentifier 1081552 /api/publicationidentifier/1081552 PlainSource 1 /api/publicationsource/1 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true WoS WoS https://www.webofscience.com/wos/woscc/full-record/@@@ true true 1 true false IDENTICAL 000358452600004 https://www.webofscience.com/wos/woscc/full-record/000358452600004 false 1332066 true PublicationIdentifier 1081553 /api/publicationidentifier/1081553 PlainSource 3 /api/publicationsource/3 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true false NO 84937728700 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937728700 false 1332067 true PublicationIdentifier 15527496 /api/publicationidentifier/15527496 PlainSource 7 /api/publicationsource/7 PublicationSourceType 10003 /api/publicationsourcetype/10003 false true true Mathematical Reviews Mathematical Reviews https://mathscinet.ams.org/mathscinet-getitem?mr=@@@ true true 7 true MR3382674 https://mathscinet.ams.org/mathscinet-getitem?mr=MR3382674 true true Classification 10018 /api/classification/10018 true true Classification 10004 /api/classification/10004 true true Classification 10003 /api/classification/10003 true true Classification 10034 /api/classification/10034 true true Classification 10024 /api/classification/10024 true true Keyword 9528 /api/keyword/9528 true 9528 true Keyword 1068041 /api/keyword/1068041 true 1068041 true Keyword 1205510 /api/keyword/1205510 true 1205510 true Keyword 1253746 /api/keyword/1253746 true 1253746 true Keyword 1253746 /api/keyword/1253746 true 1253746 true Keyword 1342578 /api/keyword/1342578 true 1342578 true Keyword 1342579 /api/keyword/1342579 true 1342579 true Keyword 1342580 /api/keyword/1342580 true 1342580 true Keyword 1342581 /api/keyword/1342581 true 1342581 true Keyword 1342581 /api/keyword/1342581 true 1342581 true Keyword 1342582 /api/keyword/1342582 true 1342582 true Keyword 1342583 /api/keyword/1342583 true 1342583 true SjrRating 11013491 /api/sjrrating/11013491 5 0.1 journal RatingType 10002 /api/ratingtype/10002 sjr true true ClassificationExternal 1704 /api/classificationexternal/1704 true 1704 true D1 DIRECT true true Reference 2091158 /api/reference/2091158 1 false true Reference 2091159 /api/reference/2091159 2 false true Reference 2091160 /api/reference/2091160 3 false true Reference 2091161 /api/reference/2091161 4 false true Reference 2091162 /api/reference/2091162 5 false true Reference 2091163 /api/reference/2091163 6 false true Reference 2091164 /api/reference/2091164 7 false true Reference 2091165 /api/reference/2091165 8 false true Reference 2091166 /api/reference/2091166 9 false true Reference 2091167 /api/reference/2091167 10 false true Reference 2091168 /api/reference/2091168 11 false true Reference 2091169 /api/reference/2091169 12 false true Reference 2091170 /api/reference/2091170 13 false true /api/publication/3037335 <div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10029947"><a href="/gui2/?type=authors&mode=browse&sel=10029947" target="_blank">Endre Csóka (<span class="authorship-author-name">Csóka Endre</span> <span class="authorAux-mtmt"> matematika</span>) </a> </span> <span class="author-affil"><span title="MTA Rényi Alfréd Matematikai Kutatóintézet">MTA RAMKI</span>/Csoportok és gráfok - Lendület; <span title="MTA Rényi Alfréd Matematikai Kutatóintézet">MTA RAMKI</span>/Lendület Struktúrák Limeszei Kutatócsoport</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10028042"><a href="/gui2/?type=authors&mode=browse&sel=10028042" target="_blank">Balázs Gerencsér (<span class="authorship-author-name">Gerencsér Balázs</span> <span class="authorAux-mtmt"> Valószínűségszámítás és statisztika</span>) </a> </span> <span class="author-affil"><span title="MTA Rényi Alfréd Matematikai Kutatóintézet">MTA RAMKI</span>/Valószínűségszámítás és Statisztika</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10015283"><a href="/gui2/?type=authors&mode=browse&sel=10015283" target="_blank">Viktor Harangi (<span class="authorship-author-name">Harangi Viktor</span> <span class="authorAux-mtmt"> gráflimeszek</span>) </a> </span> <span class="author-affil"><span title="MTA Rényi Alfréd Matematikai Kutatóintézet">MTA RAMKI</span>/Diszkrét Matematika</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10043384"><a href="/gui2/?type=authors&mode=browse&sel=10043384" target="_blank">Bálint Virág (<span class="authorship-author-name">Virág Bálint</span> <span class="authorAux-mtmt"> Algebra</span>) </a> </span> <span class="author-affil">MTA Rényi Alfréd Matematikai Kutatóintézet</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;3037335" target="_blank">Invariant Gaussian processes and independent sets on regular graphs of large girth</a></div> <div> <span class="journal-title">RANDOM STRUCTURES & ALGORITHMS</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/1042-9832">1042-9832</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1098-2418">1098-2418</a>)</span>: <span class="journal-volume">47</span> <span class="journal-issue">2</span> <span class="page"> pp 284-303 </span> <span class="year">(2015)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1002/rsa.20547" target="_blank" href="https://doi.org/10.1002/rsa.20547"> DOI </a> </span> <span class="id identifier oa_GREEN" title=" Green "> <a style="color:black" title="33612" target="_blank" href="http://real.mtak.hu/33612"> REAL </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000358452600004" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/000358452600004"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="84937728700" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937728700"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="MR3382674" target="_blank" href="https://mathscinet.ams.org/mathscinet-getitem?mr=MR3382674"> Mathematical Reviews </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Folyóirat szakterülete: Scopus - Computer Graphics and Computer-Aided Design&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Software&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;D1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Applied Mathematics&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> <div class="journal-subject">Folyóirat szakterülete: Scopus - Mathematics (miscellaneous)&nbsp;&nbsp;&nbsp;SJR indikátor:&nbsp;Q1</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 50</span> | Független: 41 | Függő: 9 | Nem jelölt: 0 | WoS jelölt: 35 | Scopus jelölt:&nbsp;38 | WoS/Scopus jelölt:&nbsp;40 | DOI jelölt:&nbsp;41 </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 3037335</span> | <span class="status-data status-APPROVED"> Nyilvános </span> <span class="oldId">Régi azonosító: 3037335</span> | Forrás | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Utolsó módosítás: 2025.02.26. 11:49 Ladányi Gusztáv (MTMT API user, admin) </div> <pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Megjegyzés</u>: Funding Agency and Grant Number: European Union [TAMOP 4.2.4. A/1-11-1-2012-0001]; European Social Fund Funding text: This research was realized in the frames of TAMOP 4.2.4. A/1-11-1-2012-0001 "National Excellence Program - Elaborating and operating an inland student and researcher personal support system" The project was subsidized by the European Union and co-financed by the Eur...</pre> </div></div>