{"id":"https://openalex.org/W1997783648","doi":"https://doi.org/10.1002/rsa.3240040404","title":"The logic of ordered random structures","display_name":"The logic of ordered random structures","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1997783648","doi":"https://doi.org/10.1002/rsa.3240040404","mag":"1997783648"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.3240040404","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240040404","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures & Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006645619","display_name":"Peter Dolan","orcid":null},"institutions":[{"id":"https://openalex.org/I39661318","display_name":"Bard College","ror":"https://ror.org/04yrgt058","country_code":"US","type":"education","lineage":["https://openalex.org/I39661318"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter Dolan","raw_affiliation_strings":["Department of Mathematics, Bard College, Annandale-on-Hudson, NY 12504","Department of Mathematics, Bard College, Annandale\u2010on\u2010Hudson, NY 12504"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bard College, Annandale-on-Hudson, NY 12504","institution_ids":["https://openalex.org/I39661318"]},{"raw_affiliation_string":"Department of Mathematics, Bard College, Annandale\u2010on\u2010Hudson, NY 12504","institution_ids":["https://openalex.org/I39661318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105250298","display_name":"James F. Lynch","orcid":null},"institutions":[{"id":"https://openalex.org/I16944753","display_name":"Clarkson University","ror":"https://ror.org/03rwgpn18","country_code":"US","type":"education","lineage":["https://openalex.org/I16944753"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James F. Lynch","raw_affiliation_strings":["Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699\u20135815","Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699\u20105815"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699\u20135815","institution_ids":["https://openalex.org/I16944753"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699\u20105815","institution_ids":["https://openalex.org/I16944753"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.12390474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":"4","first_page":"429","last_page":"445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.6530324816703796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5887762308120728},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5247300267219543},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4859112799167633},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48437389731407166},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4652966260910034},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.36854660511016846},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2858469486236572},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.09661552309989929},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.06261143088340759}],"concepts":[{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.6530324816703796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5887762308120728},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5247300267219543},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4859112799167633},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48437389731407166},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4652966260910034},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.36854660511016846},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2858469486236572},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.09661552309989929},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.06261143088340759},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/rsa.3240040404","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240040404","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures & Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1555138513","https://openalex.org/W1987966006","https://openalex.org/W2004663163","https://openalex.org/W2017075971","https://openalex.org/W2034198367","https://openalex.org/W2061456270","https://openalex.org/W2085536555","https://openalex.org/W2090008352","https://openalex.org/W2105505307","https://openalex.org/W2109979470","https://openalex.org/W2118539172","https://openalex.org/W4206755919","https://openalex.org/W4235934183","https://openalex.org/W4241669766","https://openalex.org/W4244028915","https://openalex.org/W6673413516","https://openalex.org/W6793127252"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856","https://openalex.org/W2963287622"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"nonconvergence":[3],"and":[4,13],"inseparability":[5],"in":[6],"the":[7],"first\u2010order":[8],"theory":[9],"of":[10,20],"random":[11,14],"matchings":[12],"graphs":[15],"on":[16],"an":[17],"ordered":[18],"set":[19],"points.":[21],"\u00a9":[22],"1993":[23],"John":[24],"Wiley":[25],"&":[26],"Sons,":[27],"Inc.":[28]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}