KIAS-AORC Joint Workshop
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1 KIAS-AORC Joint Workshop (The 21st KIAS Combinatorics Workshop) Elysian Gangchon Resort, Chuncheon, Korea August 20 23, 2018
2 Information Title: KIAS-AORC Joint Workshop (The 21st KIAS Combinatorics Workshop) Date: August 20 23, 2018 Venue: Elysian Gangchon Resort, Chuncheon, Korea Web: events.kias.re.kr/h/combinatorics/?pageno=3374 or kcws.combinatorics.kr Invited Lecturer Sang-il Oum (KAIST) Organizers Jong Yoon Hyun (KIAS) Jang Soo Kim (Sungkyunkwan University) Jeong Han Kim (KIAS) Seog-Jin Kim (Konkuk University) Young Soo Kwon (Yeungnam University) Sang June Lee (Duksung Women s University) Seunghyun Seo (Kangwon National University)
3 Timetable August 20 (Monday) 13:30 13:55 Registration 13:55 14:00 Opening address 14:00 17:00 Lecture 1, 2 Chair: Seunghyun Seo 14:00 15:15 Sang-il Oum Connectivity: 2-connected graph 15:15 15:45 Coffee break 15:45 17:00 Sang-il Oum Connectivity: Menger's Theorem 17:00 18:00 Group Photo, Doing homework I 18:20 Welcome reception (Brief introductions of all participants) August 21 (Tuesday) 9:15 12:15 Lecture 3, 4 Chair: Sang June Lee 9:15 10:30 Sang-il Oum Connectivity: 3-connected graph 10:30 11:00 Coffee break 11:00 12:15 Sang-il Oum Planar graph: Structures of 3-connected planar graphs 12:15 14:00 Lunch 14:00 15:00 Discussion session for homework I (by Sang-il Oum) 15:00 15:30 Coffee break 15:30 17:30 Doing homework II 18:00 Dinner
4 August 22 (Wednesday) 9:15 12:15 Lecture 5, 6 Chair: Jang Soo Kim 9:15 10:30 Sang-il Oum Planar graph: Proof of Kuratowski's theorem I 10:30 11:00 Coffee break 11:00 12:15 Sang-il Oum Planar graph: Proof of Kuratowski's theorem II 12:15 14:00 Lunch 14:00 15:00 Discussion session for homework II (by Sang-il Oum) 15:00 15:30 Coffee break 15:30 17:30 Doing homework III 18:00 Banquet (Starlight Grill BBQ) August 23 (Thursday) 9:15 12:15 Lecture 7, 8 Chair: Seog-Jin Kim 9:15 10:30 Sang-il Oum Graph minors and well-quasi-ordering I 10:30 11:00 Coffee break 11:00 12:15 Sang-il Oum Graph minors and well-quasi-ordering II 12:15 14:00 Lunch 14:00 15:00 Discussion session for homework III (by Sang-il Oum) 15:00 15:10 Awards, Closing remark
5 Lecture 1 8 Lecturer: Sang-il Oum Affiliation: KAIST Title: An Introduction to Graph Theory Abstract In this lecture, I aim to cover the proof of Kuratowski s theorem stating that a graph is planar if and only if it does not have a subdivision of K 3,3 or a subdivision of K 5 as a subgraph. For that, we will need to develop tools for 3-connected graphs. We will build necessary tools towards the proof of Kuratowski s theorem. After the proof, we will talk about its ultimate generalizations, called the graph minor theorem of Robertson and Seymour. Outline Lecture 1 3: Connectivity 2-connected graphs Menger s theorem 3-connected graphs Lecture 4 6: Planar graphs Structures of 3-connected planar graphs Proof of Kuratowski s theorem (I, II) Lecture 7 8: Graph minors and well-quasi-ordering Well-quasi-ordering Higman s lemma and Kruskal s theorem Graph Minor Theorem (survey) 1
6 List of Participants Family Given Affiliation Ahn Jungho * KAIST hoeunsu1@kaist.ac.kr Cheon Gi-Sang Sungkyunkwan University gscheon@skku.edu Choi Myungho * Seoul National University nums8080@naver.com Choi Whan-Hyuk Kangwon National University whanhyuk@gmail.com Choi YongSeok * Hanyang University cdt04947@naver.com Choo JongHo * Kangwon National University choochoosubway25@kangwon.ac.kr Goo Yechan * Hanyang University kooyrchan@naver.com Gyeong Sohyeon * Sungkunkwan University gyeongsh93@gmail.com Hong Min Young * Kangwon National University hmy015@naver.com Huh Youngsik Hanyang University yshuh@hanyang.ac.kr Hyun Jong Yoon KIAS hyun33@kias.re.kr Im Bokhee Chonnam National University bim@jnu.ac.kr Jang Ji Hyeug * Sungkyunkwan University ab4242@skku.edu Jo Chiyeon * Sungkyunkwan University chiyeon94@skku.edu Kang Dongyeap * KAIST dyk90@kaist.ac.kr Kim Byungchan SeoulTech bkim4@seoultech.ac.kr Kim Dong Ryul * KAIST kdryul927@kaist.ac.kr Kim Hyoungjun Ewha Womans University kimhjun@ewha.ac.kr Kim Jang Soo Sungkyunkwan University jangsookim@skku.edu Kim Jeonghan KIAS jhkim@kias.re.kr Kim Jinha * Seoul National University kjh1210@snu.ac.kr Kim Minki * KAIST kmk90@kaist.ac.kr Kim Ringi KAIST ringikim2@gmail.com Kim Sangwook Chonnam National University swkim.math@gmail.com Kim Seog-Jin Konkuk University skim12@konkuk.ac.kr Kim Youngin * Korea University kimy17@korea.ac.kr Kwak Minki * Seoul National University limpkmk@naver.com
7 Kwon Youngsoo Yeungnam University Lee Deok Sang * KAIST ejrtkd0412@kaist.ac.kr Lee Hojun * Seoul National University rmaghwns@snu.ac.kr Lee Jeong Hwan * KAIST sa8seung@kaist.ac.kr Lee Sang June Duksung Women`s University sanglee242@gmail.com Lee Seungjun * Konkuk University lsjbl2005@gmail.com Lee Tae Young * KAIST young556646@kaist.ac.kr Min DongJun * Hanyang University ehdwns1200@naver.com No Sungjong Ewha Womans University sungjongno84@gmail.com Oh Seungsang Korea University seungsang@korea.ac.kr Oum Sang-il KAIST sangil@kaist.edu Park Jihye * Yeungnam University spybow@hanmail.net Park Seong Chan * Kangwon National University qkrtjdcks0405@hanmail.net Ryu Homoon * Seoul National University ryuhomun@naver.com Seo Seunghyun Kangwon National University shyunseo@kangwon.ac.kr Seong Hahye * Korea University hh5seong@korea.ac.kr Shin Heesung Inha University shin@inha.ac.kr Sohn Jaebum Yonsei University jsohn@yonsei.ac.kr Song Minho Sungkyunkwan University smh3227@naver.com Song U-Keun * Sungkyunkwan University sukeun319@gmail.com Wagner David Hanyang Univesity dwagnkorea@gmail.com Yeo Yong-Dong * Konkuk University yongdong@konkuk.ac.kr Yoo Hyungkee * Korea University lpyhk727@korea.ac.kr Yoon Hyeson * Seoul National University magisakura@snu.ac.kr Yoon Ji Hoo * Wonkwang University ghtime@naver.com Yoon Sung Chul * Seoul National University math_yoon@naver.com Yun Sun-mi * Sungkyunkwan University sera314@gmail.com * : Students
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