{"id":"https://openalex.org/W2118748668","doi":"https://doi.org/10.1002/jgt.3190110315","title":"Diameter increase caused by edge deletion","display_name":"Diameter increase caused by edge deletion","publication_year":1987,"publication_date":"2025-08-14","ids":{"openalex":"https://openalex.org/W2118748668","doi":"https://doi.org/10.1002/jgt.3190110315","mag":"2118748668"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190110315","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.library.uu.nl/bitstream/handle/1874/16289/schoone_85_diameter_increase.pdf?sequence=2&isAllowed=y","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069996591","display_name":"A.A. Schoone","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"funder","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"A. A. Schoone","raw_affiliation_strings":["Department of Computer Science, University of Utrecht, P.O. Box 80.012, 3508 TA Utrecht, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Utrecht, P.O. Box 80.012, 3508 TA Utrecht, the Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032730524","display_name":"Hans L. Bodlaender","orcid":"https://orcid.org/0000-0002-9297-3330"},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"funder","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"H. L. Bodlaender","raw_affiliation_strings":["Department of Computer Science, University of Utrecht, P.O. Box 80.012, 3508 TA Utrecht, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Utrecht, P.O. Box 80.012, 3508 TA Utrecht, the Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109416059","display_name":"Jan Van Leeuwen","orcid":null},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"funder","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J. Van Leeuwen","raw_affiliation_strings":["Department of Computer Science, University of Utrecht, P.O. Box 80.012, 3508 TA Utrecht, the Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Utrecht, P.O. Box 80.012, 3508 TA Utrecht, the Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":1.539,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":108,"citation_normalized_percentile":{"value":0.97001,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"11","issue":"3","first_page":"409","last_page":"427"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9997,"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":0.9997,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9997,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9966,"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/undirected-graph","display_name":"Undirected graph","score":0.47477505}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8646989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8253859},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6473884},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.59602493},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48011017},{"id":"https://openalex.org/C3018234147","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Undirected graph","level":3,"score":0.47477505},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41194254},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11452198},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190110315","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/16289","pdf_url":"https://dspace.library.uu.nl/bitstream/handle/1874/16289/schoone_85_diameter_increase.pdf?sequence=2&isAllowed=y","source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"host_organization_lineage_names":["Utrecht University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/16289","pdf_url":"https://dspace.library.uu.nl/bitstream/handle/1874/16289/schoone_85_diameter_increase.pdf?sequence=2&isAllowed=y","source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"host_organization_lineage_names":["Utrecht University"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":6,"referenced_works":["https://openalex.org/W2010807924","https://openalex.org/W2011039300","https://openalex.org/W2014154116","https://openalex.org/W2014447809","https://openalex.org/W2125993726","https://openalex.org/W4244685672"],"related_works":["https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W3103304230","https://openalex.org/W2980963558","https://openalex.org/W2185360082","https://openalex.org/W2066456778","https://openalex.org/W1994341438","https://openalex.org/W1992365905","https://openalex.org/W1991411408","https://openalex.org/W1882246857"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"the":[3,15,19,36,90,103,151,164,178,213],"following":[4],"problem:":[5],"Given":[6],"positive":[7],"integers":[8],"k":[9,24,53,63,68,75,81,94,98,126,130,134,138,142,146,171,199,204,223],"and":[10,57,72,97,111,129,137,141,145,189,201,224],"D":[11,32,56,66,71,78,86,108,113,118,155,183,186,190,210,225],",":[12,33,177],"what":[13],"is":[14,39,216],"maximum":[16,166],"diameter":[17,31,167,215],"of":[18,51,61,73,93,106,125,154,168,197,202,222],"graph":[20,28,38],"obtained":[21],"by":[22],"deleting":[23],"edges":[25],"from":[26],"a":[27,58],"G":[29,45,176],"with":[30],"assuming":[34],"that":[35],"resulting":[37,165,214],"still":[40],"connected?":[41],"For":[42,89,117,150,173],"undirected":[43],"graphs":[44,175],"we":[46,101,121,158,193,228],"prove":[47,122,229],"an":[48,160],"upper":[49],"bound":[50,60,162],"(":[52,62,74],"+":[54,64,76,82,127,131,205],"1)":[55,65,77],"lower":[59],"\u2212":[67,79,109,114],"for":[69,84,133,185,209],"even":[70],"2":[80,83,96,120,128,192,203],"odd":[85],"\u2a7e":[87,147,211],"3.":[88],"special":[91,152],"cases":[92],"=":[95,99,119,139,143,156,187,191],"3,":[100,132],"derive":[102,159,194],"exact":[104,123,161,195],"bounds":[105,124,179,196],"3":[107,212],"1":[110,157,188],"4":[112,136],"2,":[115,206],"respectively.":[116,149],"\u2a7d":[135],"6,":[140],"5":[144],"7,":[148],"case":[153],"on":[163,182],"order":[169],"\u03b8(\u221a":[170,198],").":[172],"directed":[174],"depend":[180],"strongly":[181],":":[184],")":[200],"respectively,":[207],"while":[208],"in":[217,220],"general":[218],"unbounded":[219],"terms":[221],".":[226],"Finally,":[227],"several":[230],"related":[231],"problems":[232],"NP\u2010complete.":[233]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2118748668","counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2025-08-14T23:17:34.268702","created_date":"2025-08-14"}
°Ù¶È