{"id":"https://openalex.org/W2999031880","doi":"https://doi.org/10.37236/7133","title":"Distribution of Coefficients of Rank Polynomials for Random Sparse Graphs","display_name":"Distribution of Coefficients of Rank Polynomials for Random Sparse Graphs","publication_year":2018,"publication_date":"2018-12-21","ids":{"openalex":"https://openalex.org/W2999031880","doi":"https://doi.org/10.37236/7133","mag":"2999031880"},"language":"en","primary_location":{"id":"doi:10.37236/7133","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7133","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p50/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p50/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002765072","display_name":"Dmitry Jakobson","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dmitry Jakobson","raw_affiliation_strings":["McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027304911","display_name":"Calum MacRury","orcid":"https://orcid.org/0000-0003-0966-4332"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Calum MacRury","raw_affiliation_strings":["McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031639997","display_name":"Sergey Norin","orcid":"https://orcid.org/0000-0003-4833-7983"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sergey Norin","raw_affiliation_strings":["McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049041412","display_name":"Lise Turner","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lise Turner","raw_affiliation_strings":["McGill University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":0.3646,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6274033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"25","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8759554624557495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7433862090110779},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.7158542275428772},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.7014362812042236},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.6077756881713867},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5739673376083374},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4661819636821747},{"id":"https://openalex.org/keywords/asymptotic-distribution","display_name":"Asymptotic distribution","score":0.4303343892097473},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4250432252883911},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4131961762905121},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20829764008522034},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06534817814826965}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8759554624557495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7433862090110779},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.7158542275428772},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.7014362812042236},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.6077756881713867},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5739673376083374},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4661819636821747},{"id":"https://openalex.org/C65778772","wikidata":"https://www.wikidata.org/wiki/Q12345341","display_name":"Asymptotic distribution","level":3,"score":0.4303343892097473},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4250432252883911},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4131961762905121},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20829764008522034},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06534817814826965},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/7133","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7133","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p50/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/7133","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7133","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p50/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321747","display_name":"Fonds Qu\u00e9b\u00e9cois de la Recherche sur la Nature et les Technologies","ror":"https://ror.org/00b9f9778"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2999031880.pdf","grobid_xml":"https://content.openalex.org/works/W2999031880.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W1541384556","https://openalex.org/W1578099820","https://openalex.org/W1973091456","https://openalex.org/W1987008489","https://openalex.org/W2017186918","https://openalex.org/W2022190032","https://openalex.org/W2026073766","https://openalex.org/W2034755180","https://openalex.org/W2039990322","https://openalex.org/W2048325725","https://openalex.org/W2054123209","https://openalex.org/W2055694871","https://openalex.org/W2061309095","https://openalex.org/W2077457551","https://openalex.org/W2079458472","https://openalex.org/W2111293718","https://openalex.org/W2122595745","https://openalex.org/W2266278146","https://openalex.org/W2479778494","https://openalex.org/W2499921213","https://openalex.org/W2553486760","https://openalex.org/W2950131233","https://openalex.org/W2962809359","https://openalex.org/W2963524828","https://openalex.org/W2989628584","https://openalex.org/W4300993250"],"related_works":["https://openalex.org/W2029404707","https://openalex.org/W2152992791","https://openalex.org/W4285325679","https://openalex.org/W2001164387","https://openalex.org/W1928239295","https://openalex.org/W4282982070","https://openalex.org/W2487963770","https://openalex.org/W4300274844","https://openalex.org/W2112835755","https://openalex.org/W1505236631"],"abstract_inverted_index":{"We":[0,13],"study":[1],"the":[2,16,26,33,40,43],"distribution":[3,18,35],"of":[4,6,9,28,39,42,46],"coefficients":[5,41],"rank":[7,44],"polynomials":[8],"random":[10,47],"sparse":[11],"graphs.":[12,49],"first":[14],"discuss":[15],"limiting":[17,34],"for":[19],"general":[20],"graph":[21],"sequences":[22],"that":[23],"converge":[24],"in":[25],"sense":[27],"Benjamini-Schramm.":[29],"Then":[30],"we":[31],"compute":[32],"and":[36],"Newton":[37],"polygons":[38],"polynomial":[45],"$d$-regular":[48]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
