{"id":"https://openalex.org/W1993382237","doi":"https://doi.org/10.1137/s154034590241370x","title":"Drawing Huge Graphs by Algebraic Multigrid Optimization","display_name":"Drawing Huge Graphs by Algebraic Multigrid Optimization","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1993382237","doi":"https://doi.org/10.1137/s154034590241370x","mag":"1993382237"},"language":"en","primary_location":{"id":"doi:10.1137/s154034590241370x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s154034590241370x","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","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/A5113974966","display_name":"Yehuda Koren","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Yehuda Koren","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025997249","display_name":"Liran Carmel","orcid":"https://orcid.org/0000-0003-0225-8550"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liran Carmel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5088778612","display_name":"David Harel","orcid":"https://orcid.org/0000-0001-7240-3931"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Harel","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113974966"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5376,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.94941478,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"1","issue":"4","first_page":"645","last_page":"673"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9975000023841858,"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"}},"topics":[{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9975000023841858,"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"}},{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.991100013256073,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9882000088691711,"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/multigrid-method","display_name":"Multigrid method","score":0.8826967477798462},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7243493795394897},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5769726634025574},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5302422046661377},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5100510716438293},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4773188531398773},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4363250732421875},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.42120420932769775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3948028087615967},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38301098346710205},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.374825119972229},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3000102639198303},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.25571978092193604},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08440479636192322},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.06993255019187927}],"concepts":[{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.8826967477798462},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7243493795394897},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5769726634025574},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5302422046661377},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5100510716438293},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4773188531398773},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4363250732421875},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.42120420932769775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3948028087615967},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38301098346710205},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.374825119972229},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3000102639198303},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.25571978092193604},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08440479636192322},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.06993255019187927},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s154034590241370x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s154034590241370x","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8700000047683716,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W168610635","https://openalex.org/W338375802","https://openalex.org/W1530948733","https://openalex.org/W1805238228","https://openalex.org/W1883466813","https://openalex.org/W1931404780","https://openalex.org/W1981893977","https://openalex.org/W2000856020","https://openalex.org/W2004265962","https://openalex.org/W2021053884","https://openalex.org/W2035180740","https://openalex.org/W2044348081","https://openalex.org/W2059985735","https://openalex.org/W2070232376","https://openalex.org/W2075220720","https://openalex.org/W2075536798","https://openalex.org/W2102664288","https://openalex.org/W2121947440","https://openalex.org/W2133850057","https://openalex.org/W2142244001","https://openalex.org/W2144394238","https://openalex.org/W2147468287","https://openalex.org/W2151417892","https://openalex.org/W2167482691","https://openalex.org/W2256067809","https://openalex.org/W2498157954","https://openalex.org/W2594765389","https://openalex.org/W3022981850","https://openalex.org/W4213230933"],"related_works":["https://openalex.org/W2077078424","https://openalex.org/W2182328658","https://openalex.org/W1519938374","https://openalex.org/W84272617","https://openalex.org/W613282331","https://openalex.org/W2092341060","https://openalex.org/W2625595466","https://openalex.org/W1581927719","https://openalex.org/W2096497428","https://openalex.org/W1928809325"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2,54],"extremely":[3],"fast":[4],"graph":[5,103],"drawing":[6,56,104],"algorithm":[7],"for":[8],"very":[9],"large":[10],"graphs,":[11],"which":[12,73],"we":[13,31],"term":[14],"ACE":[15,22,52,97],"(for":[16],"Algebraic":[17],"multigrid":[18,81],"Computation":[19],"of":[20,43,45],"Eigenvectors).":[21],"exhibits":[23],"a":[24,37,50,59,69,78],"vast":[25],"improvement":[26],"over":[27],"the":[28],"fastest":[29],"algorithms":[30],"are":[32],"currently":[33],"aware":[34],"of;":[35],"using":[36,77],"serial":[38],"PC,":[39],"it":[40],"draws":[41],"graphs":[42],"millions":[44],"nodes":[46],"in":[47,93],"less":[48],"than":[49],"minute.":[51],"finds":[53],"optimal":[55],"by":[57],"minimizing":[58],"quadratic":[60],"energy":[61],"function.":[62],"The":[63,83],"minimization":[64],"problem":[65,87],"is":[66,74],"expressed":[67],"as":[68],"generalized":[70,85],"eigenvalue":[71,86],"problem,":[72],"solved":[75],"rapidly":[76],"novel":[79],"algebraic":[80],"technique.":[82],"same":[84],"seems":[88],"to":[89,99],"come":[90],"up":[91],"also":[92],"other":[94],"fields;":[95],"hence":[96],"appears":[98],"be":[100],"applicable":[101],"outside":[102],"too.":[105]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
