{"id":"https://openalex.org/W2087455919","doi":"https://doi.org/10.1007/s10878-008-9150-4","title":"Packing trees in communication networks","display_name":"Packing trees in communication networks","publication_year":2008,"publication_date":"2008-04-03","ids":{"openalex":"https://openalex.org/W2087455919","doi":"https://doi.org/10.1007/s10878-008-9150-4","mag":"2087455919"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-008-9150-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-008-9150-4","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","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/A5101535364","display_name":"Mohamed Saad","orcid":"https://orcid.org/0000-0003-2546-4453"},"institutions":[{"id":"https://openalex.org/I29891158","display_name":"University of Sharjah","ror":"https://ror.org/00engpz63","country_code":"AE","type":"education","lineage":["https://openalex.org/I29891158"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Mohamed Saad","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Sharjah, Sharjah, United Arab Emirates","University of sharjah"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Sharjah, Sharjah, United Arab Emirates","institution_ids":["https://openalex.org/I29891158"]},{"raw_affiliation_string":"University of sharjah","institution_ids":["https://openalex.org/I29891158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006828941","display_name":"Tam\u00e1s Terlaky","orcid":"https://orcid.org/0000-0003-1953-1971"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tam\u00e1s Terlaky","raw_affiliation_strings":["School of Computational Engineering and Science, Department of Computing and Software, McMaster University, Hamilton, ON, Canada","McMaster university#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computational Engineering and Science, Department of Computing and Software, McMaster University, Hamilton, ON, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"McMaster university#TAB#","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036043351","display_name":"Anthony Vannelli","orcid":null},"institutions":[{"id":"https://openalex.org/I79817857","display_name":"University of Guelph","ror":"https://ror.org/01r7awg59","country_code":"CA","type":"education","lineage":["https://openalex.org/I79817857"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Anthony Vannelli","raw_affiliation_strings":["College of Physical and Engineering Sciences, University of Guelph, Guelph, ON, Canada","University of Guelph\u2020"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Physical and Engineering Sciences, University of Guelph, Guelph, ON, Canada","institution_ids":["https://openalex.org/I79817857"]},{"raw_affiliation_string":"University of Guelph\u2020","institution_ids":["https://openalex.org/I79817857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101831413","display_name":"Zhang Hu","orcid":"https://orcid.org/0000-0003-0912-4870"},"institutions":[{"id":"https://openalex.org/I4210120376","display_name":"Canadian Imperial Bank of Commerce (Canada)","ror":"https://ror.org/02r0ks990","country_code":"CA","type":"company","lineage":["https://openalex.org/I4210120376"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Hu Zhang","raw_affiliation_strings":["Canadian Imperial Bank of Commerce, Toronto, ON, Canada","Canadian Imperial Bank of Commerce"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Canadian Imperial Bank of Commerce, Toronto, ON, Canada","institution_ids":["https://openalex.org/I4210120376"]},{"raw_affiliation_string":"Canadian Imperial Bank of Commerce","institution_ids":["https://openalex.org/I4210120376"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101831413"],"corresponding_institution_ids":["https://openalex.org/I4210120376"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.3595,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.88686162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"4","first_page":"402","last_page":"423"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9993000030517578,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9975000023841858,"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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9940000176429749,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6200128793716431},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.6171273589134216},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.6168866753578186},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.5994406938552856},{"id":"https://openalex.org/keywords/multicast","display_name":"Multicast","score":0.5734001398086548},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5563223361968994},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5446632504463196},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.5415681600570679},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5395871996879578},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.4923044443130493},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4748259484767914},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.453622043132782},{"id":"https://openalex.org/keywords/independent-set","display_name":"Independent set","score":0.44992905855178833},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4381033182144165},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4328840374946594},{"id":"https://openalex.org/keywords/k-minimum-spanning-tree","display_name":"k-minimum spanning tree","score":0.42334580421447754},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4228881597518921},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3979406952857971},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3161766529083252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2821996808052063},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.27396345138549805},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19879120588302612},{"id":"https://openalex.org/keywords/tree-structure","display_name":"Tree structure","score":0.18870475888252258},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.16511496901512146},{"id":"https://openalex.org/keywords/k-ary-tree","display_name":"K-ary tree","score":0.15787866711616516}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6200128793716431},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6171273589134216},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.6168866753578186},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.5994406938552856},{"id":"https://openalex.org/C32295351","wikidata":"https://www.wikidata.org/wiki/Q899288","display_name":"Multicast","level":2,"score":0.5734001398086548},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5563223361968994},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5446632504463196},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.5415681600570679},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5395871996879578},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.4923044443130493},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4748259484767914},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.453622043132782},{"id":"https://openalex.org/C122818955","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independent set","level":3,"score":0.44992905855178833},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4381033182144165},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4328840374946594},{"id":"https://openalex.org/C202750272","wikidata":"https://www.wikidata.org/wiki/Q6322849","display_name":"k-minimum spanning tree","level":5,"score":0.42334580421447754},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4228881597518921},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3979406952857971},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3161766529083252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2821996808052063},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27396345138549805},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19879120588302612},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.18870475888252258},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.16511496901512146},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.15787866711616516},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-008-9150-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-008-9150-4","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:16:y:2008:i:4:d:10.1007_s10878-008-9150-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-008-9150-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W20551560","https://openalex.org/W122708907","https://openalex.org/W1483101602","https://openalex.org/W1508687393","https://openalex.org/W1519520700","https://openalex.org/W1523383428","https://openalex.org/W1526553713","https://openalex.org/W1527354963","https://openalex.org/W1550267274","https://openalex.org/W1566939909","https://openalex.org/W1588547096","https://openalex.org/W1783295460","https://openalex.org/W1952648253","https://openalex.org/W1963299409","https://openalex.org/W1966838648","https://openalex.org/W1967786783","https://openalex.org/W1990327548","https://openalex.org/W1992157849","https://openalex.org/W1992404387","https://openalex.org/W1993161326","https://openalex.org/W2002272911","https://openalex.org/W2006848803","https://openalex.org/W2008140591","https://openalex.org/W2012329067","https://openalex.org/W2022191808","https://openalex.org/W2032813508","https://openalex.org/W2041430500","https://openalex.org/W2048382523","https://openalex.org/W2049513883","https://openalex.org/W2066738457","https://openalex.org/W2066883826","https://openalex.org/W2070664846","https://openalex.org/W2073105533","https://openalex.org/W2081831441","https://openalex.org/W2082591111","https://openalex.org/W2090492366","https://openalex.org/W2094710049","https://openalex.org/W2095251431","https://openalex.org/W2099335235","https://openalex.org/W2105781905","https://openalex.org/W2117595194","https://openalex.org/W2120447465","https://openalex.org/W2122980048","https://openalex.org/W2134422938","https://openalex.org/W2148352980","https://openalex.org/W2150865801","https://openalex.org/W2155224464","https://openalex.org/W2155858227","https://openalex.org/W2159214117","https://openalex.org/W2163656645","https://openalex.org/W2165932933","https://openalex.org/W2165956524","https://openalex.org/W2166763236","https://openalex.org/W2300015048","https://openalex.org/W3011766368"],"related_works":["https://openalex.org/W2109445739","https://openalex.org/W4225489905","https://openalex.org/W2397216325","https://openalex.org/W1991055327","https://openalex.org/W2069178743","https://openalex.org/W1984586534","https://openalex.org/W1983607113","https://openalex.org/W2274535290","https://openalex.org/W2767048380","https://openalex.org/W2541390708"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}