{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/121920"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/121920","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"On Chen-Lih-Wu Conjecture for planar graphs","abstract":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms","abstract_html":"Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms","abstract_has_math":false,"creators":["Lin, Duo"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Applied Mathematics","degree_department":null,"school":null,"contributors":["Kostochka, Alexandr"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2023,"date_issued":"2023-12","date_published":"2023-12","updated_at":"2026-07-22T22:25:00Z","subjects":["Equitable Coloring","Planar Graphs"],"languages":["en","eng"],"rights":["Copyright 2023 Duo Lin"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/121920","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Kostochka, Alexandr"]},{"key":"dc:creator","label":"Author","values":["Lin, Duo"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2023-12","2023-07-19"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Applied Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Equitable Coloring","Planar Graphs"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2023 Duo Lin"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/121920"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms","The student, Duo Lin, accepted the attached license on 2023-07-15 at 12:48.","The student, Duo Lin, submitted this Thesis for approval on 2023-07-15 at 12:59.","This Thesis was approved for publication on 2023-07-19 at 16:26.","DSpace SAF Submission Ingestion Package generated from Vireo submission #19702 on 2024-03-01 at 13:13:02","The Chen-Lih-Wu Conjecture states that for a connected graph with maximum degree ∆, there is an equitable ∆-coloring if the graph is not a complete graph, an odd cycle or K_{∆,∆}. In this thesis, we study the above conjecture on planar graphs. The first chapter provides a literature review of recent developments. The second chapter provides a new proof that the Chen-Lih-Wu Conjecture holds for planar graphs with maximum degree ∆ ≥ 9."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["On Chen-Lih-Wu Conjecture for planar graphs"]}]}],"canonical_facts":{"dc:contributor":["Kostochka, Alexandr"],"dc:creator":["Lin, Duo"],"dc:date":["2023-12","2023-07-19"],"dc:description":["Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms","The student, Duo Lin, accepted the attached license on 2023-07-15 at 12:48.","The student, Duo Lin, submitted this Thesis for approval on 2023-07-15 at 12:59.","This Thesis was approved for publication on 2023-07-19 at 16:26.","DSpace SAF Submission Ingestion Package generated from Vireo submission #19702 on 2024-03-01 at 13:13:02","The Chen-Lih-Wu Conjecture states that for a connected graph with maximum degree ∆, there is an equitable ∆-coloring if the graph is not a complete graph, an odd cycle or K_{∆,∆}. In this thesis, we study the above conjecture on planar graphs. The first chapter provides a literature review of recent developments. The second chapter provides a new proof that the Chen-Lih-Wu Conjecture holds for planar graphs with maximum degree ∆ ≥ 9."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/121920"],"dc:language":["en","eng"],"dc:rights":["Copyright 2023 Duo Lin"],"dc:subject":["Equitable Coloring","Planar Graphs"],"dc:title":["On Chen-Lih-Wu Conjecture for planar graphs"],"dc:type":["text"],"thesis:degree_discipline":["Applied Mathematics"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:00Z"}