{"id":"https://openalex.org/W2083522899","doi":"https://doi.org/10.1080/15427951.2011.604554","title":"On the Approximability of Reachability-Preserving Network Orientations","display_name":"On the Approximability of Reachability-Preserving Network Orientations","publication_year":2011,"publication_date":"2011-11-28","ids":{"openalex":"https://openalex.org/W2083522899","doi":"https://doi.org/10.1080/15427951.2011.604554","mag":"2083522899"},"language":"en","primary_location":{"id":"doi:10.1080/15427951.2011.604554","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2011.604554","pdf_url":"https://www.internetmathematicsjournal.com/article/1505.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.internetmathematicsjournal.com/article/1505.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031690987","display_name":"Michael Elberfeld","orcid":null},"institutions":[{"id":"https://openalex.org/I9341345","display_name":"University of L\u00fcbeck","ror":"https://ror.org/00t3r8h32","country_code":"DE","type":"education","lineage":["https://openalex.org/I9341345"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Elberfeld","raw_affiliation_strings":["Institute of Theoretical Computer Science , University of L\u00fcbeck , 23538, L\u00fcbeck, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science , University of L\u00fcbeck , 23538, L\u00fcbeck, Germany","institution_ids":["https://openalex.org/I9341345"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028801735","display_name":"Vineet Bafna","orcid":"https://orcid.org/0000-0002-5810-6241"},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California, San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vineet Bafna","raw_affiliation_strings":["Department of Computer Science , University of California San Diego , San Diego, CA, 92093-0404, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science , University of California San Diego , San Diego, CA, 92093-0404, USA","institution_ids":["https://openalex.org/I36258959"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020208985","display_name":"Iftah Gamzu","orcid":null},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Iftah Gamzu","raw_affiliation_strings":["Microsoft R&D Center , Herzliya, 46725, Israel"],"affiliations":[{"raw_affiliation_string":"Microsoft R&D Center , Herzliya, 46725, Israel","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069176696","display_name":"Alexander Medvedovsky","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alexander Medvedovsky","raw_affiliation_strings":["Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044792131","display_name":"Danny Segev","orcid":"https://orcid.org/0000-0003-4684-2185"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Danny Segev","raw_affiliation_strings":["Department of Statistics, University of Haifa, Haifa, 31905, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, University of Haifa, Haifa, 31905, Israel","institution_ids":["https://openalex.org/I91203450"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003550890","display_name":"Dana Silverbush","orcid":"https://orcid.org/0000-0001-7499-0092"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Dana Silverbush","raw_affiliation_strings":["Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005525211","display_name":"Uri Zwick","orcid":"https://orcid.org/0000-0002-7638-7710"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uri Zwick","raw_affiliation_strings":["Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046958549","display_name":"Roded Sharan","orcid":"https://orcid.org/0000-0001-8363-4882"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Roded Sharan","raw_affiliation_strings":["Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Blavatnik School of Computer Science, Tel Aviv University, Tel Aviv 69978, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":8,"corresponding_author_ids":["https://openalex.org/A5031690987"],"corresponding_institution_ids":["https://openalex.org/I9341345"],"apc_list":null,"apc_paid":null,"fwci":1.5692,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83185841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"7","issue":"4","first_page":"209","last_page":"232"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9958999752998352,"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":0.9958999752998352,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7176517248153687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7166070938110352},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.6320279836654663},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5692910552024841},{"id":"https://openalex.org/keywords/undirected-graph","display_name":"Undirected graph","score":0.5659789443016052},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5095741748809814},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4805229604244232},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4734853506088257},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47294044494628906},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4503527879714966},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41497987508773804},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1461392641067505}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7176517248153687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7166070938110352},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.6320279836654663},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5692910552024841},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.5659789443016052},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5095741748809814},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4805229604244232},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4734853506088257},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47294044494628906},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4503527879714966},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41497987508773804},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1461392641067505},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/15427951.2011.604554","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2011.604554","pdf_url":"https://www.internetmathematicsjournal.com/article/1505.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1080/15427951.2011.604554","is_oa":true,"landing_page_url":"https://doi.org/10.1080/15427951.2011.604554","pdf_url":"https://www.internetmathematicsjournal.com/article/1505.pdf","source":{"id":"https://openalex.org/S19474917","display_name":"Internet Mathematics","issn_l":"1542-7951","issn":["1542-7951","1944-9488"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Internet Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2083522899.pdf","grobid_xml":"https://content.openalex.org/works/W2083522899.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1505147267","https://openalex.org/W1505323399","https://openalex.org/W1548164611","https://openalex.org/W1556027526","https://openalex.org/W1576805635","https://openalex.org/W1577731219","https://openalex.org/W1579879095","https://openalex.org/W1586632891","https://openalex.org/W1972129511","https://openalex.org/W1981849312","https://openalex.org/W1999032440","https://openalex.org/W2026634792","https://openalex.org/W2068871408","https://openalex.org/W2077783414","https://openalex.org/W2084619201","https://openalex.org/W2118382442","https://openalex.org/W2118966355","https://openalex.org/W2137804845","https://openalex.org/W2137896695","https://openalex.org/W2149458512","https://openalex.org/W2172997278","https://openalex.org/W2335132016","https://openalex.org/W2397577094","https://openalex.org/W2412123125","https://openalex.org/W2970113856","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W4205772203","https://openalex.org/W2147954430","https://openalex.org/W2031552172","https://openalex.org/W2178484001","https://openalex.org/W2622090745","https://openalex.org/W2583782779","https://openalex.org/W2017314050","https://openalex.org/W1540489585"],"abstract_inverted_index":{"We":[0,43,52,91],"introduce":[1],"a":[2,17,33,39,111,125],"graph-orientation":[3],"problem":[4,56,87,100],"arising":[5],"in":[6],"the":[7,24,29,45,55,75,86,99,106,141],"study":[8,44],"of":[9,19,36,49,98,105,114,140],"biological":[10],"networks.":[11],"Given":[12],"an":[13,80,103],"undirected":[14],"graph":[15,30,108],"and":[16,47,65,117],"list":[18],"ordered":[20],"source\u2013target":[21],"vertex":[22],"pairs,":[23],"goal":[25],"is":[26,57,121],"to":[27,67,69,124,132],"orient":[28],"such":[31],"that":[32,54,94,109,118],"maximum":[34],"number":[35],"pairs":[37,116],"admit":[38],"directed":[40],"source-to-target":[41],"path.":[42],"complexity":[46],"approximability":[48],"this":[50,119],"problem.":[51,142],"show":[53,93],"<inline-graphic":[58],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"":[59],"xlink:href=\"uinm_a_604554_o_ilm0001.gif\"></inline-graphic>-hard":[60],"even":[61],"on":[62,88],"star":[63],"graphs":[64],"hard":[66],"approximate":[68],"within":[70],"some":[71,137],"constant":[72,126],"factor.":[73,127],"On":[74],"positive":[76],"side,":[77],"we":[78],"provide":[79],"\u03a9(log&nbsp;log&nbsp;_n_/log&nbsp;_n_)":[81],"factor":[82],"approximation":[83,134],"algorithm":[84],"for":[85,95,136],"_n_-vertex":[89],"graphs.":[90],"further":[92],"any":[96],"instance":[97],"there":[101],"exists":[102],"orientation":[104],"input":[107],"satisfies":[110],"logarithmic":[112],"fraction":[113],"all":[115],"bound":[120],"tight":[122],"up":[123],"Our":[128],"techniques":[129],"also":[130],"lead":[131],"constant-factor":[133],"algorithms":[135],"restricted":[138],"variants":[139]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}