{"id":"https://openalex.org/W2066933505","doi":"https://doi.org/10.1007/s004539910005","title":"On Exact Solutions for the Rectilinear Steiner Tree Problem Part I: Theoretical Results","display_name":"On Exact Solutions for the Rectilinear Steiner Tree Problem Part I: Theoretical Results","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2066933505","doi":"https://doi.org/10.1007/s004539910005","mag":"2066933505"},"language":"en","primary_location":{"id":"doi:10.1007/s004539910005","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s004539910005","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","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":null,"display_name":"U. F\u00f6\u00df{}meier","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"U. F\u00f6\u00df{}meier","raw_affiliation_strings":["Wilhelm-Schickard-Institut, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany.  foessmei@informatik.uni-tuebingen.de,  mk@informatik.uni-tuebingen.de., , , , , , DE","Wilhelm-Schickard-Institut, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany. foessmei@informatik.uni-tuebingen.de, mk@informatik.uni-tuebingen.de., DE"],"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany.  foessmei@informatik.uni-tuebingen.de,  mk@informatik.uni-tuebingen.de., , , , , , DE","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"Wilhelm-Schickard-Institut, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany. foessmei@informatik.uni-tuebingen.de, mk@informatik.uni-tuebingen.de., DE","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103045561","display_name":"Michael Kaufmann","orcid":"https://orcid.org/0000-0001-9186-3538"},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Kaufmann","raw_affiliation_strings":["Wilhelm-Schickard-Institut, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany.  foessmei@informatik.uni-tuebingen.de,  mk@informatik.uni-tuebingen.de., , , , , , DE","Wilhelm-Schickard-Institut, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany. foessmei@informatik.uni-tuebingen.de, mk@informatik.uni-tuebingen.de., DE"],"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany.  foessmei@informatik.uni-tuebingen.de,  mk@informatik.uni-tuebingen.de., , , , , , DE","institution_ids":["https://openalex.org/I8087733"]},{"raw_affiliation_string":"Wilhelm-Schickard-Institut, Universit\u00e4t T\u00fcbingen, Sand 13, 72076 T\u00fcbingen, Germany. foessmei@informatik.uni-tuebingen.de, mk@informatik.uni-tuebingen.de., DE","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I8087733"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.14777115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"1","first_page":"68","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10829","display_name":"Interconnection Networks and Systems","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9934999942779541,"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/steiner-tree-problem","display_name":"Steiner tree problem","score":0.7909921407699585},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6178918480873108},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6042914986610413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5950780510902405},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5362135171890259},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5182557106018066},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5162324905395508},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5091680884361267},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4916432499885559},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.49112603068351746},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.4434511959552765},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4342028498649597},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3871192932128906},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3257697820663452},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31795939803123474}],"concepts":[{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.7909921407699585},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6178918480873108},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6042914986610413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5950780510902405},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5362135171890259},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5182557106018066},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5162324905395508},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5091680884361267},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4916432499885559},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.49112603068351746},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.4434511959552765},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4342028498649597},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3871192932128906},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3257697820663452},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31795939803123474},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s004539910005","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s004539910005","pdf_url":null,"source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.550000011920929,"display_name":"Zero hunger","id":"https://metadata.un.org/sdg/2"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W55191700","https://openalex.org/W1550372279","https://openalex.org/W1975140409","https://openalex.org/W1975442866","https://openalex.org/W1975807353","https://openalex.org/W1991064236","https://openalex.org/W1993553699","https://openalex.org/W2003882909","https://openalex.org/W2018752549","https://openalex.org/W2064086982","https://openalex.org/W2069712919","https://openalex.org/W2086709935","https://openalex.org/W2088967712","https://openalex.org/W2157338118","https://openalex.org/W2158598102","https://openalex.org/W2295428206","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2161182859","https://openalex.org/W2118320476","https://openalex.org/W1503036335","https://openalex.org/W2025658531","https://openalex.org/W4244816249","https://openalex.org/W2115973883","https://openalex.org/W2739242419","https://openalex.org/W2005965064","https://openalex.org/W1973015798","https://openalex.org/W2007359222"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}
