{"id":"https://openalex.org/W2762039230","doi":"https://doi.org/10.1017/s0963548317000505","title":"Uniformly Discrete Forests with Poor Visibility","display_name":"Uniformly Discrete Forests with Poor Visibility","publication_year":2017,"publication_date":"2017-10-09","ids":{"openalex":"https://openalex.org/W2762039230","doi":"https://doi.org/10.1017/s0963548317000505","mag":"2762039230"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548317000505","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548317000505","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/603918F93D8502F042E3E1F9F5EAC11F/S0963548317000505a.pdf/div-class-title-uniformly-discrete-forests-with-poor-visibility-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/603918F93D8502F042E3E1F9F5EAC11F/S0963548317000505a.pdf/div-class-title-uniformly-discrete-forests-with-poor-visibility-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083469386","display_name":"Noga Alon","orcid":"https://orcid.org/0000-0003-1332-4883"},"institutions":[{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]},{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL","US"],"is_corresponding":true,"raw_author_name":"NOGA ALON","raw_affiliation_strings":["Sackler School of Mathematics and Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel","School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA (e-mail:"],"affiliations":[{"raw_affiliation_string":"Sackler School of Mathematics and Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA (e-mail:","institution_ids":["https://openalex.org/I40036882"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083469386"],"corresponding_institution_ids":["https://openalex.org/I16391192","https://openalex.org/I40036882"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.17453254,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"27","issue":"4","first_page":"442","last_page":"448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9984999895095825,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9984999895095825,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9983999729156494,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/plane","display_name":"Plane (geometry)","score":0.6863901615142822},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.6360782980918884},{"id":"https://openalex.org/keywords/visibility","display_name":"Visibility","score":0.6128055453300476},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5989611148834229},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5756096839904785},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5557410717010498},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5454091429710388},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.49383431673049927},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.4880455732345581},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4229954779148102},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23245763778686523},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.1077440083026886}],"concepts":[{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6863901615142822},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6360782980918884},{"id":"https://openalex.org/C123403432","wikidata":"https://www.wikidata.org/wiki/Q654068","display_name":"Visibility","level":2,"score":0.6128055453300476},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5989611148834229},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5756096839904785},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5557410717010498},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5454091429710388},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.49383431673049927},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.4880455732345581},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4229954779148102},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23245763778686523},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.1077440083026886},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0963548317000505","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548317000505","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/603918F93D8502F042E3E1F9F5EAC11F/S0963548317000505a.pdf/div-class-title-uniformly-discrete-forests-with-poor-visibility-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.732.6847","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.732.6847","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.tau.ac.il/%7Enogaa/PDFS/forest.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1017/s0963548317000505","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548317000505","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/603918F93D8502F042E3E1F9F5EAC11F/S0963548317000505a.pdf/div-class-title-uniformly-discrete-forests-with-poor-visibility-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.6200000047683716}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2762039230.pdf","grobid_xml":"https://content.openalex.org/works/W2762039230.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W2068871408","https://openalex.org/W2124187705","https://openalex.org/W2276336683","https://openalex.org/W2319743870","https://openalex.org/W2962739216","https://openalex.org/W2963349195","https://openalex.org/W2963422390","https://openalex.org/W2977322974","https://openalex.org/W4205562629"],"related_works":["https://openalex.org/W4386442742","https://openalex.org/W2353000084","https://openalex.org/W4205730002","https://openalex.org/W2942906518","https://openalex.org/W2382326160","https://openalex.org/W1623138178","https://openalex.org/W3084509788","https://openalex.org/W2357946356","https://openalex.org/W4245661658","https://openalex.org/W2159360218"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,12],"there":[3,48],"is":[4,21,49,61],"a":[5,50],"set":[6],"F":[7,20,53],"in":[8,36,68],"the":[9,13,37,58,65,69],"plane":[10,38],"so":[11],"distance":[14,55],"between":[15],"any":[16,27],"two":[17],"points":[18],"of":[19,39,52,57,74,76,81],"at":[22,41],"least":[23,42],"1,":[24,31],"and":[25,32,78,80],"for":[26],"positive":[28],"\u03f5":[29,43,56],"&lt;":[30],"every":[33],"line":[34],"segment":[35],"length":[40],"\u22121\u2212":[44],"o":[45,66],"(1)":[46],",":[47],"point":[51],"within":[54],"segment.":[59],"This":[60],"tight":[62],"up":[63],"to":[64],"(1)-term":[67],"exponent,":[70],"improving":[71],"earlier":[72],"estimates":[73],"Peres,":[75],"Solomon":[77],"Weiss,":[79],"Adiceam.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
