{"id":"https://openalex.org/W2124706286","doi":"https://doi.org/10.1007/s11227-014-1085-1","title":"Deriving length two path centered surface area for the arrangement graph: a generating function approach","display_name":"Deriving length two path centered surface area for the arrangement graph: a generating function approach","publication_year":2014,"publication_date":"2014-01-27","ids":{"openalex":"https://openalex.org/W2124706286","doi":"https://doi.org/10.1007/s11227-014-1085-1","mag":"2124706286"},"language":"en","primary_location":{"id":"doi:10.1007/s11227-014-1085-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11227-014-1085-1","pdf_url":null,"source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"The Journal of Supercomputing","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/A5069246449","display_name":"Eddie Cheng","orcid":"https://orcid.org/0000-0003-4526-7983"},"institutions":[{"id":"https://openalex.org/I177721651","display_name":"Oakland University","ror":"https://ror.org/01ythxj32","country_code":"US","type":"education","lineage":["https://openalex.org/I177721651"]},{"id":"https://openalex.org/I5388228","display_name":"University of Rochester","ror":"https://ror.org/022kthw22","country_code":"US","type":"education","lineage":["https://openalex.org/I5388228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eddie Cheng","raw_affiliation_strings":["Department of Mathematics and Statistics, Oakland University, Rochester, MI, 48309-4401, USA","Department of Mathematics and Statistics, Oakland University, Rochester, USA 48309-4401#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Oakland University, Rochester, MI, 48309-4401, USA","institution_ids":["https://openalex.org/I177721651"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Oakland University, Rochester, USA 48309-4401#TAB#","institution_ids":["https://openalex.org/I5388228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103708105","display_name":"Ke Qiu","orcid":"https://orcid.org/0009-0006-8700-2982"},"institutions":[{"id":"https://openalex.org/I186803428","display_name":"Brock University","ror":"https://ror.org/056am2717","country_code":"CA","type":"education","lineage":["https://openalex.org/I186803428"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ke Qiu","raw_affiliation_strings":["Department of Computer Science, Brock University, St. Catharines, ON, L2S 3A1, Canada","Department of Computer Science, Brock University, St Catharines, Canada L2S 3A1#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brock University, St. Catharines, ON, L2S 3A1, Canada","institution_ids":["https://openalex.org/I186803428"]},{"raw_affiliation_string":"Department of Computer Science, Brock University, St Catharines, Canada L2S 3A1#TAB#","institution_ids":["https://openalex.org/I186803428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002740825","display_name":"Zhizhang Shen","orcid":"https://orcid.org/0000-0002-5738-6077"},"institutions":[{"id":"https://openalex.org/I89312276","display_name":"Plymouth State University","ror":"https://ror.org/00fpz4c36","country_code":"US","type":"education","lineage":["https://openalex.org/I89312276"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zhizhang Shen","raw_affiliation_strings":["Department of Computer Science and Technology, Plymouth State University, Plymouth, NH, 03264-1595, USA","Department of Computer Science and Technology, Plymouth State University, Plymouth, USA 03264-1595#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Plymouth State University, Plymouth, NH, 03264-1595, USA","institution_ids":["https://openalex.org/I89312276"]},{"raw_affiliation_string":"Department of Computer Science and Technology, Plymouth State University, Plymouth, USA 03264-1595#TAB#","institution_ids":["https://openalex.org/I89312276"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002740825"],"corresponding_institution_ids":["https://openalex.org/I89312276"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.3663,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73424873,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"68","issue":"3","first_page":"1241","last_page":"1264"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9969000220298767,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9969000220298767,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9965999722480774,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/computer-science","display_name":"Computer science","score":0.7417353987693787},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.6324300169944763},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5866773128509521},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5639833211898804},{"id":"https://openalex.org/keywords/path-length","display_name":"Path length","score":0.5515031814575195},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5194470286369324},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4847383201122284},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34898892045021057},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.336616575717926},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2731201648712158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22469043731689453},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18877512216567993},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05863317847251892}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7417353987693787},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6324300169944763},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5866773128509521},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5639833211898804},{"id":"https://openalex.org/C129045301","wikidata":"https://www.wikidata.org/wiki/Q7144654","display_name":"Path length","level":2,"score":0.5515031814575195},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5194470286369324},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4847383201122284},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34898892045021057},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.336616575717926},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2731201648712158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22469043731689453},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18877512216567993},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05863317847251892},{"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11227-014-1085-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11227-014-1085-1","pdf_url":null,"source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"The Journal of Supercomputing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W186403072","https://openalex.org/W1964071270","https://openalex.org/W1970524113","https://openalex.org/W1978074362","https://openalex.org/W1986045283","https://openalex.org/W1994730974","https://openalex.org/W1994872708","https://openalex.org/W2043014833","https://openalex.org/W2047970503","https://openalex.org/W2060643540","https://openalex.org/W2070084134","https://openalex.org/W2071238773","https://openalex.org/W2086934045","https://openalex.org/W2094601524","https://openalex.org/W2094912605","https://openalex.org/W2102867768","https://openalex.org/W2104852618","https://openalex.org/W2135608177","https://openalex.org/W2155855591","https://openalex.org/W2329095262","https://openalex.org/W2340541605","https://openalex.org/W4301014931"],"related_works":["https://openalex.org/W1527726406","https://openalex.org/W2364921833","https://openalex.org/W4321392910","https://openalex.org/W4220901678","https://openalex.org/W2026630113","https://openalex.org/W2354605212","https://openalex.org/W3111684308","https://openalex.org/W4237949515","https://openalex.org/W2332274146","https://openalex.org/W2113201323"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}