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oai:www.ideals.illinois.edu:2142/108445 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Kostochka, Alexandr Balogh, József Lavrov, Mikhail Milenkovic, Olgica West, Douglas Liu, Xujun 2020-10-07T20:59:35Z 2020-10-07T20:59:35Z 2020-07-08 2020-08 Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2020-10-02 without embargo terms The student, Xujun Liu, accepted the attached license on 2020-07-05 at 07:52. The student, Xujun Liu, submitted this Dissertation for approval on 2020-07-05 at 12:39. This Dissertation was approved for publication on 2020-07-08 at 16:37. DSpace SAF Submission Ingestion Package generated from Vireo submission #15494 on 2020-10-02 at 15:11:45 Made available in DSpace on 2020-10-07T20:59:35Z (GMT). No. of bitstreams: 3 LIU-DISSERTATION-2020.pdf: 1831642 bytes, checksum: fe774a9d16c961f822efd7ff34241c88 (MD5) LICENSE.txt: 4206 bytes, checksum: 7bb14a407918df119690d26d5b801f61 (MD5) PROQUEST_LICENSE.txt: 4552 bytes, checksum: 20ab0d9e5c844db13451abf9c223019b (MD5) Previous issue date: 2020-07-08 application/pdf http://hdl.handle.net/2142/108445 en Copyright 2020 Xujun Liu graph theory combinatorics extremal graph theory graph colorings paths cycles connected matchings packing colorings packing chromatic number subcubic graphs independent sets independence ratio Ramsey number regularity lemma directed intersection number directed intersection representation directed graphs Extremal problems on special graph colorings text Thesis Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.