{"id":"https://openalex.org/W1999775539","doi":"https://doi.org/10.1142/s0129054106004315","title":"DRAWING WITH FAT EDGES","display_name":"DRAWING WITH FAT EDGES","publication_year":2006,"publication_date":"2006-09-18","ids":{"openalex":"https://openalex.org/W1999775539","doi":"https://doi.org/10.1142/s0129054106004315","mag":"1999775539"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054106004315","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054106004315","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/A5113650837","display_name":"Christian A. Duncan","orcid":null},"institutions":[{"id":"https://openalex.org/I919208787","display_name":"Louisiana Tech University","ror":"https://ror.org/04q9esz89","country_code":"US","type":"education","lineage":["https://openalex.org/I2799628689","https://openalex.org/I919208787"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"CHRISTIAN A. DUNCAN","raw_affiliation_strings":["College of Engineering and Science, Louisiana Tech University, Ruston, LA 71272, USA"],"affiliations":[{"raw_affiliation_string":"College of Engineering and Science, Louisiana Tech University, Ruston, LA 71272, USA","institution_ids":["https://openalex.org/I919208787"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037980737","display_name":"Alon Efrat","orcid":"https://orcid.org/0000-0001-9834-4132"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"ALON EFRAT","raw_affiliation_strings":["Department of Computer Science, University of Arizona, Tucson, AZ 85721-0077, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Arizona, Tucson, AZ 85721-0077, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003147292","display_name":"Stephen Kobourov","orcid":"https://orcid.org/0000-0002-0477-2724"},"institutions":[{"id":"https://openalex.org/I138006243","display_name":"University of Arizona","ror":"https://ror.org/03m2x1q45","country_code":"US","type":"education","lineage":["https://openalex.org/I138006243"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"STEPHEN KOBOUROV","raw_affiliation_strings":["Department of Computer Science, University of Arizona, Tucson, AZ 85721-0077, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Arizona, Tucson, AZ 85721-0077, USA","institution_ids":["https://openalex.org/I138006243"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054903605","display_name":"Carola Wenk","orcid":"https://orcid.org/0000-0001-9275-5336"},"institutions":[{"id":"https://openalex.org/I45438204","display_name":"The University of Texas at San Antonio","ror":"https://ror.org/01kd65564","country_code":"US","type":"education","lineage":["https://openalex.org/I45438204"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"CAROLA WENK","raw_affiliation_strings":["Department of Computer Science, University of Texas at San Antonio, San Antonio, TX 78249-0667, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at San Antonio, San Antonio, TX 78249-0667, USA","institution_ids":["https://openalex.org/I45438204"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5113650837"],"corresponding_institution_ids":["https://openalex.org/I919208787"],"apc_list":null,"apc_paid":null,"fwci":1.7476,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.85694683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"17","issue":"05","first_page":"1143","last_page":"1163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9979000091552734,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.98580002784729,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9685999751091003,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/graph-drawing","display_name":"Graph drawing","score":0.6739419102668762},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.5992224812507629},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5668862462043762},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.5160519480705261},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.49547016620635986},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46179839968681335},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4422034025192261},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.43318164348602295},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39065927267074585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38462138175964355},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3227421045303345},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09906560182571411}],"concepts":[{"id":"https://openalex.org/C112953755","wikidata":"https://www.wikidata.org/wiki/Q739462","display_name":"Graph drawing","level":3,"score":0.6739419102668762},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.5992224812507629},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5668862462043762},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.5160519480705261},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.49547016620635986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46179839968681335},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4422034025192261},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.43318164348602295},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39065927267074585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38462138175964355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3227421045303345},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09906560182571411},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s0129054106004315","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054106004315","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:CiteSeerX.psu:10.1.1.104.2705","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.104.2705","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.utsa.edu/~carola/fatedgesJournal.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.29.1071","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.1071","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.arizona.edu/people/kobourov/fatedges.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.638.3747","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.638.3747","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.arizona.edu/~alon/papers/fatedges.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.67.3161","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.3161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.arizona.edu/people/kobourov/fatedges.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1965771814","https://openalex.org/W1997882649","https://openalex.org/W2017153896","https://openalex.org/W2056203932","https://openalex.org/W2059364939","https://openalex.org/W2059811909","https://openalex.org/W2082791002","https://openalex.org/W4232328109","https://openalex.org/W4400525487"],"related_works":["https://openalex.org/W4205718258","https://openalex.org/W1989674257","https://openalex.org/W2059364457","https://openalex.org/W2210665824","https://openalex.org/W2048639803","https://openalex.org/W4287272854","https://openalex.org/W2604486243","https://openalex.org/W2470646738","https://openalex.org/W130561602","https://openalex.org/W2337656972"],"abstract_inverted_index":{"Traditionally,":[0],"graph":[1,153],"drawing":[2,20,56,154],"algorithms":[3],"represent":[4],"vertices":[5],"as":[6,10,38,171],"circles":[7],"and":[8,60,86],"edges":[9,26,59],"curves":[11],"connecting":[12],"the":[13,17,69,92,114,132,145,174],"vertices.":[14],"We":[15,51,71,98],"introduce":[16],"problem":[18],"of":[19,27,32,78,176],"with":[21,25,57,134],"\"fat\"":[22],"edges,":[23],"i.e.,":[24],"variable":[28],"thickness.":[29,158],"The":[30],"thickness":[31,166],"an":[33,103],"edge":[34,157,165,178],"is":[35,121],"often":[36],"used":[37],"a":[39,53,61,75,108,122,152],"visualization":[40],"cue,":[41],"to":[42,46,90,94,101],"indicate":[43],"importance,":[44],"or":[45],"convey":[47],"some":[48],"additional":[49],"information.":[50],"present":[52],"model":[54],"for":[55],"fat":[58],"corresponding":[62],"efficient":[63],"polynomial":[64],"time":[65],"algorithm":[66,93,160],"that":[67,80,112,143],"uses":[68],"model.":[70],"first":[72],"focus":[73],"on":[74],"restricted":[76],"class":[77],"graphs":[79],"occur":[81],"in":[82,125,173],"VLSI":[83,126],"wire":[84,105,137],"routing":[85,106,111,133,142],"then":[87],"show":[88,99],"how":[89,100],"extend":[91],"general":[95],"planar":[96],"graphs.":[97],"convert":[102],"arbitrary":[104],"into":[107],"homotopically":[109,140],"equivalent":[110,141],"maximizes":[113,144,156],"distance":[115,146],"between":[116,147],"any":[117,148],"two":[118,149],"wires,":[119],"which":[120,155],"desired":[123],"property":[124],"design.":[127],"Among":[128],"such,":[129],"we":[130],"obtain":[131],"minimum":[135],"total":[136],"length.":[138],"A":[139],"wires":[150],"yields":[151],"Our":[159],"does":[161],"not":[162],"require":[163],"unit":[164],"but":[167],"can":[168],"be":[169],"applied":[170],"well":[172],"presence":[175],"different":[177],"weights.":[179]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}