{"id":"https://openalex.org/A5111499309","orcid":null,"observed_orcids":[],"display_name":"Preben Dahl Vestergaard","raw_author_names":["P. D. Vestergaard","P.D. Vestergaard","Preben D. Vestergaard","Preben Dahl Vestergaard","Vestergaard, Preben D.","Vestergaard, Preben Dahl"],"full_name":"Preben Dahl Vestergaard","works_count":67,"cited_by_count":443,"summary_stats":{"2yr_mean_citedness":0.0,"h_index":11,"i10_index":12},"ids":{"openalex":"https://openalex.org/A5111499309","orcid":null,"observed_orcids":[]},"affiliations":[{"institution":{"id":"https://openalex.org/I4210124601","ror":"https://ror.org/02xkdev90","display_name":"Department of Mathematical Sciences","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601"]},"years":[2013]},{"institution":{"id":"https://openalex.org/I891191580","ror":"https://ror.org/04m5j1k67","display_name":"Aalborg University","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]},"years":[2022,2013,2010,2009,2008,2007,2006,2005,2004,2002,2000,1998,1997,1996,1995,1994,1993,1992,1991,1989,1988,1975]}],"last_known_institutions":[{"id":"https://openalex.org/I891191580","ror":"https://ror.org/04m5j1k67","display_name":"Aalborg University","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","count":66,"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/T11476","display_name":"Graph theory and applications","count":33,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","count":31,"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/T12541","display_name":"Graph Labeling and Dimension Problems","count":24,"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/T10948","display_name":"Advanced Combinatorial Mathematics","count":20,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"topic_share":[{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","value":0.0003684,"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/T10374","display_name":"Advanced Graph Theory Research","value":0.0002611,"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/T11476","display_name":"Graph theory and applications","value":0.0002564,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","value":0.0001457,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","value":8.6e-05,"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"}}],"x_concepts":[{"id":"33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","score":0.9161888360977173},{"id":"114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","score":0.908266544342041},{"id":"132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","score":0.6892991065979004},{"id":"118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","score":0.6182169318199158},{"id":"41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","score":0.48198240995407104}],"counts_by_year":[{"year":1975,"works_count":1,"oa_works_count":0,"cited_by_count":0},{"year":1977,"works_count":1,"oa_works_count":0,"cited_by_count":0},{"year":1988,"works_count":5,"oa_works_count":1,"cited_by_count":0},{"year":1989,"works_count":3,"oa_works_count":0,"cited_by_count":0},{"year":1990,"works_count":3,"oa_works_count":0,"cited_by_count":0},{"year":1991,"works_count":2,"oa_works_count":0,"cited_by_count":0},{"year":1992,"works_count":3,"oa_works_count":1,"cited_by_count":0},{"year":1993,"works_count":1,"oa_works_count":0,"cited_by_count":0},{"year":1994,"works_count":3,"oa_works_count":1,"cited_by_count":0},{"year":1995,"works_count":3,"oa_works_count":2,"cited_by_count":0},{"year":1996,"works_count":3,"oa_works_count":2,"cited_by_count":0},{"year":1997,"works_count":2,"oa_works_count":1,"cited_by_count":0},{"year":1998,"works_count":2,"oa_works_count":1,"cited_by_count":0},{"year":2000,"works_count":2,"oa_works_count":1,"cited_by_count":0},{"year":2002,"works_count":2,"oa_works_count":0,"cited_by_count":0},{"year":2003,"works_count":2,"oa_works_count":1,"cited_by_count":0},{"year":2004,"works_count":1,"oa_works_count":0,"cited_by_count":0},{"year":2005,"works_count":6,"oa_works_count":2,"cited_by_count":0},{"year":2006,"works_count":8,"oa_works_count":6,"cited_by_count":0},{"year":2007,"works_count":3,"oa_works_count":2,"cited_by_count":0},{"year":2008,"works_count":2,"oa_works_count":2,"cited_by_count":0},{"year":2009,"works_count":4,"oa_works_count":4,"cited_by_count":0},{"year":2010,"works_count":2,"oa_works_count":2,"cited_by_count":0},{"year":2012,"works_count":0,"oa_works_count":0,"cited_by_count":18},{"year":2013,"works_count":1,"oa_works_count":0,"cited_by_count":30},{"year":2014,"works_count":1,"oa_works_count":0,"cited_by_count":11},{"year":2015,"works_count":0,"oa_works_count":0,"cited_by_count":20},{"year":2016,"works_count":0,"oa_works_count":0,"cited_by_count":31},{"year":2017,"works_count":0,"oa_works_count":0,"cited_by_count":14},{"year":2018,"works_count":0,"oa_works_count":0,"cited_by_count":20},{"year":2019,"works_count":0,"oa_works_count":0,"cited_by_count":17},{"year":2020,"works_count":0,"oa_works_count":0,"cited_by_count":15},{"year":2021,"works_count":0,"oa_works_count":0,"cited_by_count":21},{"year":2022,"works_count":1,"oa_works_count":1,"cited_by_count":20},{"year":2023,"works_count":0,"oa_works_count":0,"cited_by_count":13},{"year":2024,"works_count":0,"oa_works_count":0,"cited_by_count":7},{"year":2025,"works_count":0,"oa_works_count":0,"cited_by_count":11},{"year":2026,"works_count":0,"oa_works_count":0,"cited_by_count":5}],"display_name_alternatives":["P. D. Vestergaard","P.D. Vestergaard","Preben D. Vestergaard","Preben Dahl Vestergaard","Vestergaard, Preben D.","Vestergaard, Preben Dahl"],"block_key":"p vestergaard","works_api_url":"https://api.openalex.org/works?filter=author.id:A5111499309","updated_date":"2026-11-03T12:34:24","created_date":"2016-06-24T00:00:00"}