{"id":"https://openalex.org/W1682714618","doi":"https://doi.org/10.1142/s0218195915500065","title":"A Leapfrog Strategy for Pursuit-Evasion in a Polygonal Environment","display_name":"A Leapfrog Strategy for Pursuit-Evasion in a Polygonal Environment","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1682714618","doi":"https://doi.org/10.1142/s0218195915500065","mag":"1682714618"},"language":"en","primary_location":{"id":"doi:10.1142/s0218195915500065","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195915500065","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"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 Computational Geometry & Applications","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/A5000908908","display_name":"Brendan Ames","orcid":"https://orcid.org/0000-0003-0810-7956"},"institutions":[{"id":"https://openalex.org/I17301866","display_name":"University of Alabama","ror":"https://ror.org/03xrrjk67","country_code":"US","type":"education","lineage":["https://openalex.org/I17301866"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brendan Ames","raw_affiliation_strings":["Department of Mathematics, University of Alabama, Box 870350, Tuscaloosa, AL 35487, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Alabama, Box 870350, Tuscaloosa, AL 35487, USA","institution_ids":["https://openalex.org/I17301866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073404056","display_name":"Andrew Beveridge","orcid":"https://orcid.org/0000-0002-9823-2867"},"institutions":[{"id":"https://openalex.org/I5444425","display_name":"Macalester College","ror":"https://ror.org/04fceqm38","country_code":"US","type":"education","lineage":["https://openalex.org/I5444425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Beveridge","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Macalester College, 1600 Grand Avenue, St Paul, MN 55105, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Macalester College, 1600 Grand Avenue, St Paul, MN 55105, USA","institution_ids":["https://openalex.org/I5444425"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003204577","display_name":"Rosalie Carlson","orcid":null},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rosalie Carlson","raw_affiliation_strings":["Department of Mathematics, University of California, South Hall, Room 6607, Santa Barbara, CA 93106, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, South Hall, Room 6607, Santa Barbara, CA 93106, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082309003","display_name":"Claire Djang","orcid":null},"institutions":[{"id":"https://openalex.org/I70571728","display_name":"Oberlin College","ror":"https://ror.org/05ac26z88","country_code":"US","type":"education","lineage":["https://openalex.org/I70571728"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire Djang","raw_affiliation_strings":["Department of Mathematics, Oberlin College, 10 N. Professor St, King 205, Oberlin, OH 44074, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Oberlin College, 10 N. Professor St, King 205, Oberlin, OH 44074, USA","institution_ids":["https://openalex.org/I70571728"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033839227","display_name":"Volkan Isler","orcid":"https://orcid.org/0000-0002-0868-5441"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Volkan Isler","raw_affiliation_strings":["Department of Computer Science, University of Minnesota, 4-192 Keller Hall, 200 Union St SE, Minneapolis, MN 55455, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Minnesota, 4-192 Keller Hall, 200 Union St SE, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063895090","display_name":"Stephen Ragain","orcid":null},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stephen Ragain","raw_affiliation_strings":["Department of Management Science and Engineering, Stanford University, Huang Engineering Center, 475 Via Ortega, Stanford, CA 94305, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Management Science and Engineering, Stanford University, Huang Engineering Center, 475 Via Ortega, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043937556","display_name":"Maxray Savage","orcid":null},"institutions":[{"id":"https://openalex.org/I5444425","display_name":"Macalester College","ror":"https://ror.org/04fceqm38","country_code":"US","type":"education","lineage":["https://openalex.org/I5444425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maxray Savage","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Macalester College, 1600 Grand Avenue, St Paul, MN 55105, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Macalester College, 1600 Grand Avenue, St Paul, MN 55105, USA","institution_ids":["https://openalex.org/I5444425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":53.6993,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.99446434,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"25","issue":"02","first_page":"77","last_page":"100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.968500018119812,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9430999755859375,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/pursuer","display_name":"Pursuer","score":0.9531214833259583},{"id":"https://openalex.org/keywords/pursuit-evasion","display_name":"Pursuit-evasion","score":0.764579176902771},{"id":"https://openalex.org/keywords/guard","display_name":"Guard (computer science)","score":0.6198879480361938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5101521611213684},{"id":"https://openalex.org/keywords/obstacle","display_name":"Obstacle","score":0.5070943832397461},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4893261790275574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4715074598789215},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2128746509552002},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19434988498687744}],"concepts":[{"id":"https://openalex.org/C2776927521","wikidata":"https://www.wikidata.org/wiki/Q468489","display_name":"Pursuer","level":2,"score":0.9531214833259583},{"id":"https://openalex.org/C2778388243","wikidata":"https://www.wikidata.org/wiki/Q7261573","display_name":"Pursuit-evasion","level":2,"score":0.764579176902771},{"id":"https://openalex.org/C141141315","wikidata":"https://www.wikidata.org/wiki/Q2379942","display_name":"Guard (computer science)","level":2,"score":0.6198879480361938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5101521611213684},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.5070943832397461},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4893261790275574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4715074598789215},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2128746509552002},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19434988498687744},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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":3,"locations":[{"id":"doi:10.1142/s0218195915500065","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218195915500065","pdf_url":null,"source":{"id":"https://openalex.org/S25827807","display_name":"International Journal of Computational Geometry & Applications","issn_l":"0218-1959","issn":["0218-1959","1793-6357"],"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 Computational Geometry & Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.756.7908","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.756.7908","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1401.2960.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.841.1904","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.841.1904","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.macalester.edu/%7Eabeverid/papers/leapfrog-pursuit.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land","score":0.5199999809265137}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W40650588","https://openalex.org/W2019238673","https://openalex.org/W2029756211","https://openalex.org/W2046635105","https://openalex.org/W2062468924","https://openalex.org/W2066580552","https://openalex.org/W2111465243","https://openalex.org/W2118525851","https://openalex.org/W2139676984","https://openalex.org/W2566091043"],"related_works":["https://openalex.org/W2057376130","https://openalex.org/W2091926052","https://openalex.org/W4253161990","https://openalex.org/W2039546613","https://openalex.org/W2184611791","https://openalex.org/W1994748888","https://openalex.org/W114019308","https://openalex.org/W2522390654","https://openalex.org/W2054640842","https://openalex.org/W3152565215"],"abstract_inverted_index":{"We":[0,135],"study":[1],"pursuit-evasion":[2],"in":[3,90,112,124,186],"a":[4,151,171,183,272],"polygonal":[5,8,115,126,133,233],"environment":[6,34,127,149,168,234,242],"with":[7,87,132,150,243],"obstacles.":[9],"In":[10],"this":[11,141,201],"turn":[12],"based":[13],"game,":[14],"an":[15,148,167,241,250],"evader":[16,74,89,94,111],"[Formula:":[17,24,55,128,204,208,216,225,235,244,251],"see":[18,25,56,129,205,209,217,226,236,245,252],"text]":[19,57,130,206,210,218,227,246,253],"is":[20,103,154,203,211,219,228],"chased":[21],"by":[22,182],"pursuers":[23,43,80,120],"text].":[26,237],"The":[27,42,79,93,197],"players":[28],"have":[29,170],"full":[30],"information":[31],"about":[32],"the":[33,36,39,51,73,88,110,188,193,212,220,229,232,259,268],"and":[35,117,224,263],"location":[37],"of":[38,200,214,222,231],"other":[40],"players.":[41],"are":[44,121,261],"allowed":[45],"to":[46,60,140,169],"coordinate":[47],"their":[48],"actions.":[49],"On":[50,72],"pursuer":[52,84,107],"turn,":[53,75],"each":[54],"can":[58,98,108,179],"move":[59],"any":[61,113,125],"point":[62],"at":[63,65],"distance":[64],"most":[66],"1":[67],"from":[68],"his":[69],"current":[70],"location.":[71],"he":[76,97],"moves":[77],"similarly.":[78],"win":[81],"if":[82,96,264],"some":[83],"becomes":[85],"co-located":[86],"finite":[91],"time.":[92],"wins":[95],"evade":[99],"capture":[100,109],"forever.":[101],"It":[102],"known":[104],"that":[105,118,255],"one":[106],"simply-connected":[114],"environment,":[116],"three":[119],"always":[122],"sufficient":[123,161],"(possibly":[131],"obstacles).":[134],"contribute":[136],"two":[137,175,189],"new":[138],"results":[139],"field.":[142],"First,":[143],"we":[144,159,248],"fully":[145],"characterize":[146],"when":[147],"single":[152],"obstacle":[153],"one-pursuerwin":[155],"or":[156],"two-pursuer-win.":[157],"Second,":[158],"give":[160],"(but":[162],"not":[163],"necessary)":[164],"conditions":[165],"for":[166,174,240,271],"winning":[172],"strategy":[173,185],"pursuers.":[176],"Such":[177],"environments":[178],"be":[180],"swept":[181],"leapfrog":[184,273],"which":[187],"cops":[190],"alternately":[191],"guard/increase":[192],"currently":[194],"controlled":[195],"area.":[196],"running":[198],"time":[199],"algorithm":[202,254],"where":[207],"number":[213,221],"vertices,":[215,247],"obstacles":[223,260],"diameter":[230],"More":[238],"concretely,":[239],"describe":[249],"(1)":[256],"determines":[257],"whether":[258],"well-separated,":[262],"so,":[265],"(2)":[266],"constructs":[267],"required":[269],"partition":[270],"strategy.":[274]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}