{"id":"https://openalex.org/W2921202237","doi":"https://doi.org/10.1142/s0129054119500023","title":"On a Fire Fighter\u2019s Problem","display_name":"On a Fire Fighter\u2019s Problem","publication_year":2019,"publication_date":"2019-02-01","ids":{"openalex":"https://openalex.org/W2921202237","doi":"https://doi.org/10.1142/s0129054119500023","mag":"2921202237"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054119500023","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054119500023","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5109226564","display_name":"Rolf Klein","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Rolf Klein","raw_affiliation_strings":["Department of Computer Science I, University of Bonn, Friedrich-Ebert-Allee 144, 53113 Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science I, University of Bonn, Friedrich-Ebert-Allee 144, 53113 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058265992","display_name":"Elmar Langetepe","orcid":null},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Elmar Langetepe","raw_affiliation_strings":["Department of Computer Science I, University of Bonn, Friedrich-Ebert-Allee 144, 53113 Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science I, University of Bonn, Friedrich-Ebert-Allee 144, 53113 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082596568","display_name":"Barbara Schwarzwald","orcid":"https://orcid.org/0000-0002-9535-9950"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barbara Schwarzwald","raw_affiliation_strings":["Department of Computer Science I, University of Bonn, Friedrich-Ebert-Allee 144, 53113 Bonn, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science I, University of Bonn, Friedrich-Ebert-Allee 144, 53113 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005407145","display_name":"Christos Levcopoulos","orcid":"https://orcid.org/0000-0003-0983-7862"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Christos Levcopoulos","raw_affiliation_strings":["Department of Computer Science, Lund University, Box 118, 221 00 Lund, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Lund University, Box 118, 221 00 Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016509031","display_name":"Andrzej Lingas","orcid":"https://orcid.org/0000-0003-4998-9844"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Andrzej Lingas","raw_affiliation_strings":["Department of Computer Science, Lund University, Box 118, 221 00 Lund, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Lund University, Box 118, 221 00 Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5109226564"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":null,"apc_paid":null,"fwci":1.0135,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.75177415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"30","issue":"02","first_page":"231","last_page":"246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9898999929428101,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9833999872207642,"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/merge","display_name":"Merge (version control)","score":0.5768129229545593},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4322620928287506},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35282695293426514},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34088921546936035},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2857832908630371}],"concepts":[{"id":"https://openalex.org/C197129107","wikidata":"https://www.wikidata.org/wiki/Q1921621","display_name":"Merge (version control)","level":2,"score":0.5768129229545593},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4322620928287506},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35282695293426514},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34088921546936035},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2857832908630371},{"id":"https://openalex.org/C23123220","wikidata":"https://www.wikidata.org/wiki/Q816826","display_name":"Information retrieval","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0129054119500023","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054119500023","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:lup.lub.lu.se:42b46030-41f7-4cb6-8a09-e2a6a236f190","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/42b46030-41f7-4cb6-8a09-e2a6a236f190","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0129-0541","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W51128893","https://openalex.org/W186403072","https://openalex.org/W1589443075","https://openalex.org/W1963653554","https://openalex.org/W1976619117","https://openalex.org/W1980454023","https://openalex.org/W2018976612","https://openalex.org/W2031079906","https://openalex.org/W2069434059","https://openalex.org/W2072680730","https://openalex.org/W2082754619","https://openalex.org/W2087097376","https://openalex.org/W2108799575","https://openalex.org/W2309179828","https://openalex.org/W2340541605","https://openalex.org/W2593940438","https://openalex.org/W4385397173"],"related_works":["https://openalex.org/W2044189972","https://openalex.org/W2913765211","https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W3096112471","https://openalex.org/W2374855996","https://openalex.org/W2265843803","https://openalex.org/W8207743"],"abstract_inverted_index":{"Suppose":[0],"that":[1,34,60,83,175,230,240,244],"a":[2,18,72,93,171,224],"circular":[3],"fire":[4,14,36,44,145,154,192,212,261],"spreads":[5],"in":[6,250,254],"the":[7,35,43,54,63,75,78,84,129,133,138,144,153,191,194,211,235,246,258,260,267,276],"plane":[8],"at":[9,20,67,197],"unit":[10],"speed.":[11],"A":[12],"single":[13],"fighter":[15,45,64,146,195],"can":[16,37,262],"build":[17],"barrier":[19,73],"speed":[21,68,198,203,268],"[Formula:":[22,28,57,69,96,100,104,111,115,125,148,158,163,177,185,199,204,269],"see":[23,29,58,70,97,101,105,112,116,126,149,159,164,178,186,200,205,270],"text].":[24,113,201],"How":[25],"large":[26],"must":[27],"text]":[30,59,102,106,117,127,150,160,165,179,187,206,271],"be":[31,38,264],"to":[32,137,181],"ensure":[33],"contained,":[39],"and":[40,103,253],"how":[41],"should":[42],"proceed?":[46],"We":[47,81],"contribute":[48],"two":[49,167],"results.":[50],"First,":[51],"we":[52,238],"analyze":[53],"natural":[55],"curve":[56,89,184,243],"develops":[61],"when":[62],"keeps":[65],"building,":[66],"text],":[71,98],"along":[74],"boundary":[76],"of":[77,86,110,132,226],"expanding":[79],"fire.":[80],"prove":[82],"behavior":[85],"this":[87],"spiralling":[88],"is":[90,155,207,272],"governed":[91],"by":[92,141,217],"complex":[94,121,130],"function":[95],"where":[99],"are":[107,120],"real":[108,172],"functions":[109],"For":[114],"all":[118],"zeroes":[119,168],"conjugate":[122,134],"pairs.":[123],"If":[124],"denotes":[128],"argument":[131,176],"pair":[135],"nearest":[136],"origin":[139,259],"then,":[140],"residue":[142],"calculus,":[143],"needs":[147],"rounds":[151],"before":[152,216],"contained.":[156],"As":[157],"decreases":[161],"towards":[162],"these":[166],"merge":[169],"into":[170],"one,":[173],"so":[174],"goes":[180],"0.":[182],"Thus,":[183],"does":[188],"not":[189,263],"contain":[190],"if":[193,266],"moves":[196],"(That":[202],"sufficient":[208],"for":[209,241],"containing":[210],"has":[213],"been":[214],"proposed":[215],"Bressan":[218],"et":[219],"al.":[220],"[6],":[221],"who":[222],"constructed":[223],"sequence":[225],"logarithmic":[227],"spiral":[228],"segments":[229],"stay":[231],"strictly":[232],"away":[233],"from":[234,257],"fire.)":[236],"Second,":[237],"show":[239],"any":[242],"visits":[245],"four":[247],"coordinate":[248],"half-axes":[249],"cyclic":[251],"order,":[252],"increasing":[255],"distances":[256],"contained":[265],"less":[273],"than":[274],"1.618\u2026,":[275],"golden":[277],"ratio.":[278]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}