{"id":"https://openalex.org/W4403085362","doi":"https://doi.org/10.37236/12651","title":"The Bright Side of Simple Heuristics for the TSP","display_name":"The Bright Side of Simple Heuristics for the TSP","publication_year":2024,"publication_date":"2024-10-03","ids":{"openalex":"https://openalex.org/W4403085362","doi":"https://doi.org/10.37236/12651"},"language":"en","primary_location":{"id":"doi:10.37236/12651","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12651","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p5/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/v31i4p5/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056950019","display_name":"Alan Frieze","orcid":"https://orcid.org/0000-0002-8481-5615"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alan Frieze","raw_affiliation_strings":["Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054318475","display_name":"Wesley Pegden","orcid":"https://orcid.org/0000-0002-3680-1817"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wesley Pegden","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056950019"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":1.1041,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80514339,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"31","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.36489999294281006,"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":0.36489999294281006,"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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.2897999882698059,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.08739999681711197,"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/heuristics","display_name":"Heuristics","score":0.7901837825775146},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.7583295702934265},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4821019470691681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2807005047798157},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2550293803215027},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0787789523601532},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.06313759088516235}],"concepts":[{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.7901837825775146},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7583295702934265},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4821019470691681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2807005047798157},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2550293803215027},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0787789523601532},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.06313759088516235}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/12651","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12651","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p5/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:10.37236/12651","is_oa":true,"landing_page_url":"https://doi.org/10.37236/12651","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v31i4p5/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":[{"id":"https://openalex.org/G11246129","display_name":"Random Networks and Deterministic Diffusion Processes","funder_award_id":"1700365","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2826834842","display_name":null,"funder_award_id":"DMS1952285","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4690702368","display_name":"Random Structures and Algorithms","funder_award_id":"1952285","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6426846922","display_name":null,"funder_award_id":"DMS1700365","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4403085362.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2280422768","https://openalex.org/W3143197806","https://openalex.org/W4252555497","https://openalex.org/W3121175838","https://openalex.org/W3016293053","https://openalex.org/W1690653314","https://openalex.org/W2401723157","https://openalex.org/W2065055572"],"abstract_inverted_index":{"The":[0],"greedy":[1,86],"and":[2,87],"nearest-neighbor":[3,88],"TSP":[4],"heuristics":[5,89],"can":[6],"both":[7],"have":[8,90],"$\\log":[9],"n$":[10],"approximation":[11,33],"factors":[12],"from":[13,49,93],"optimal":[14,40,94,100],"in":[15,23,64,106],"worst":[16],"case,":[17],"even":[18],"just":[19],"for":[20,47,110],"$n$":[21],"points":[22,48,105],"Euclidean":[24],"space.":[25],"In":[26,45],"this":[27,32],"note,":[28],"we":[29],"show":[30],"that":[31,84],"factor":[34],"is":[35,42,68,79],"only":[36],"realized":[37],"when":[38,77],"the":[39,61,65,85,96,99,107],"tour":[41,101],"unusually":[43],"short.":[44],"particular,":[46],"any":[50,58],"fixed":[51],"$d$-Ahlfor's":[52],"regular":[53],"metric":[54],"space":[55],"(which":[56],"includes":[57],"$d$-manifold":[59],"like":[60],"$d$-cube":[62],"$[0,1]^d$":[63],"case":[66],"$d$":[67,76,78],"an":[69],"integer":[70],"but":[71],"also":[72],"fractals":[73],"of":[74,98],"dimension":[75],"real-valued),":[80],"our":[81],"results":[82],"imply":[83],"additive":[91],"errors":[92],"on":[95],"order":[97],"length":[102],"through":[103],"random":[104],"same":[108],"space,":[109],"$d>1$.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}