{"id":"https://openalex.org/W2050522413","doi":"https://doi.org/10.1007/s10878-014-9779-0","title":"A structural transformation from p- $$\\pi $$ \u03c0 to MSVL","display_name":"A structural transformation from p- $$\\pi $$ \u03c0 to MSVL","publication_year":2014,"publication_date":"2014-08-06","ids":{"openalex":"https://openalex.org/W2050522413","doi":"https://doi.org/10.1007/s10878-014-9779-0","mag":"2050522413"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-014-9779-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-014-9779-0","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/A5101447291","display_name":"Ling Luo","orcid":"https://orcid.org/0000-0002-8999-1431"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ling Luo","raw_affiliation_strings":["ICTT and ISN Lab, Xidian University, Xi\u2019an\u00a0, 710071, People\u2019s Republic of China","ICTT and ISN Lab, Xidian University, Xi'an, People's Republic of China 710071#TAB#"],"affiliations":[{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi\u2019an\u00a0, 710071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi'an, People's Republic of China 710071#TAB#","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101884705","display_name":"Zhenhua Duan","orcid":"https://orcid.org/0000-0002-2116-259X"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenhua Duan","raw_affiliation_strings":["ICTT and ISN Lab, Xidian University, Xi\u2019an\u00a0, 710071, People\u2019s Republic of China","ICTT and ISN Lab, Xidian University, Xi'an, People's Republic of China 710071#TAB#"],"affiliations":[{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi\u2019an\u00a0, 710071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi'an, People's Republic of China 710071#TAB#","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003990194","display_name":"Cong Tian","orcid":"https://orcid.org/0000-0002-5429-4580"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cong Tian","raw_affiliation_strings":["ICTT and ISN Lab, Xidian University, Xi\u2019an\u00a0, 710071, People\u2019s Republic of China","ICTT and ISN Lab, Xidian University, Xi'an, People's Republic of China 710071#TAB#"],"affiliations":[{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi\u2019an\u00a0, 710071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi'an, People's Republic of China 710071#TAB#","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100625049","display_name":"Xiaobing Wang","orcid":"https://orcid.org/0000-0001-5044-3721"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaobing Wang","raw_affiliation_strings":["ICTT and ISN Lab, Xidian University, Xi\u2019an\u00a0, 710071, People\u2019s Republic of China","ICTT and ISN Lab, Xidian University, Xi'an, People's Republic of China 710071#TAB#"],"affiliations":[{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi\u2019an\u00a0, 710071, People\u2019s Republic of China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"ICTT and ISN Lab, Xidian University, Xi'an, People's Republic of China 710071#TAB#","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101447291"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11266338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"1","first_page":"308","last_page":"329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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/T10142","display_name":"Formal Methods in Verification","score":0.9997000098228455,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9988999962806702,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/soundness","display_name":"Soundness","score":0.8802568316459656},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.8259990215301514},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.7720818519592285},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5632564425468445},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48846688866615295},{"id":"https://openalex.org/keywords/pi","display_name":"Pi","score":0.4579097628593445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4540274441242218},{"id":"https://openalex.org/keywords/program-transformation","display_name":"Program transformation","score":0.4167841374874115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39726871252059937},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36351868510246277},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.332710862159729},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.31182950735092163},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29263755679130554},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25509095191955566},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19378292560577393},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07785505056381226},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06281894445419312}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8802568316459656},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.8259990215301514},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.7720818519592285},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5632564425468445},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48846688866615295},{"id":"https://openalex.org/C53009064","wikidata":"https://www.wikidata.org/wiki/Q167","display_name":"Pi","level":2,"score":0.4579097628593445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4540274441242218},{"id":"https://openalex.org/C2778361913","wikidata":"https://www.wikidata.org/wiki/Q7248437","display_name":"Program transformation","level":2,"score":0.4167841374874115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39726871252059937},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36351868510246277},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.332710862159729},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31182950735092163},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29263755679130554},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25509095191955566},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19378292560577393},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07785505056381226},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06281894445419312},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10878-014-9779-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-014-9779-0","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:29:y:2015:i:1:d:10.1007_s10878-014-9779-0","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-014-9779-0","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":[{"display_name":"Decent work and economic growth","score":0.5,"id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W51723225","https://openalex.org/W1483150777","https://openalex.org/W1511668635","https://openalex.org/W1512839616","https://openalex.org/W1538739512","https://openalex.org/W1591672107","https://openalex.org/W1603799276","https://openalex.org/W1967338214","https://openalex.org/W2008838944","https://openalex.org/W2013672985","https://openalex.org/W2021917262","https://openalex.org/W2036750908","https://openalex.org/W2046213250","https://openalex.org/W2093832730","https://openalex.org/W2109488193","https://openalex.org/W2117189826","https://openalex.org/W2128932399","https://openalex.org/W2137865376","https://openalex.org/W2158942489","https://openalex.org/W2262960161","https://openalex.org/W2561675875","https://openalex.org/W3144368627","https://openalex.org/W4210886820","https://openalex.org/W4234924236"],"related_works":["https://openalex.org/W2466303427","https://openalex.org/W1511249877","https://openalex.org/W1578828174","https://openalex.org/W2950376466","https://openalex.org/W2000943029","https://openalex.org/W2621980927","https://openalex.org/W4302559785","https://openalex.org/W4226437312","https://openalex.org/W2137609856","https://openalex.org/W2502478805"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
