MarriageTheoremのこと

_ メモ：Shisyou numberとEmperor number

前に書いたネタで、どうやら私はShisyou number（←師匠（院生時代の指導教員*1）までの共著距離）よりもEmperor number（←今上天皇*2までの共著距離）の方が小さいっぽいという話があったのをふと思い出したが、実際にどんな経路で辿れるのか記録していなかったのでちょっと調べてみた。（2017年4月30日現在。下線部は経路に関連する著者名。なお、全探索したわけではないのでもっと短い経路が見つかるかもしれない。）

Emperor number: ≦ 4

1. Akihito, Akihisa Iwata, Takanori Kobayashi, Kazuho Ikeo, Tadashi Imanishi, Hiroaki Ono, Yumi Umehara, Chika Hamamatsu, Kayo Sugiyama, Yuji Ikeda, Katsuichi Sakamoto, Akishinonomiya Fumihito, Susumu Ohno, Takashi Gojobori : Evolutionary aspects of gobioid fishes based upon a phylogenetic analysis of mitochondrial cytochrome b genes. Gene, Vol.259, Issues 1–2, 2000, pp.5–15 (DOI: 10.1016/S0378-1119(00)00488-1)
2. Toshitsugu Okayama, Takuro Tamura, Takashi Gojobori, Yoshio Tateno, Kazuho Ikeo, Satoru Miyazaki, Kaoru Fukami-Kobayashi, Hideaki Sugawara : Formal design and implementation of an improved DDBJ DNA database with a new schema and object-oriented library. Bioinformatics, Vol.14, Issue 6, 1998, pp.472-478 (DOI: 10.1093/bioinformatics/14.6.472)
3. Toshiaki Katayama, Kazuharu Arakawa, Mitsuteru Nakao, Keiichiro Ono, Kiyoko F. Aoki-Kinoshita, Yasunori Yamamoto, Atsuko Yamaguchi, Shuichi Kawashima, Hong-Woo Chun, Jan Aerts, Bruno Aranda, Lord H. Barboza, Raoul J. P. Bonnal, Richard M. Bruskiewich, Jan Christian Bryne, José M. Fernández, Akira Funahashi, Paul M. K. Gordon, Naohisa Goto, Andreas Groscurth, Alex Gutteridge, Richard C. G. Holland, Yoshinobu Kano, Edward A. Kawas, Arnaud Kerhornou, Eri Kibukawa, Akira R. Kinjo, Michael Kuhn, Hilmar Lapp, Heikki Lehväslaiho, Hiroyuki Nakamura, Yasukazu Nakamura, Tatsuya Nishizawa, Chikashi Nobata, Tamotsu Noguchi, Thomas M. Oinn, Shinobu Okamoto, Stuart Owen, Evangelos Pafilis, Matthew R. Pocock, Pjotr Prins, René Ranzinger, Florian Reisinger, Lukasz Salwínski, Mark J. Schreiber, Martin Senger, Yasumasa Shigemoto, Daron M. Standley, Hideaki Sugawara, Toshiyuki Tashiro, Oswaldo Trelles, Rutger A. Vos, Mark D. Wilkinson, William S. York, Christian M. Zmasek, Kiyoshi Asai, Toshihisa Takagi : The DBCLS BioHackathon: standardization and interoperability for bioinformatics web services and workflows. Journal of Biomedical Semantics, Vol.1, 2010, Article 8 (DOI: 10.1186/2041-1480-1-8)
4. Kana Shimizu, Koji Nuida, Hiromi Arai, Shigeo Mitsunari, Nuttapong Attrapadung, Michiaki Hamada, Koji Tsuda, Takatsugu Hirokawa, Jun Sakuma, Goichiro Hanaoka, Kiyoshi Asai : Privacy-preserving search for chemical compound databases. BMC Bioinformatics, vol.16(Suppl 18), 2015, Article S6 (DOI: 10.1186/1471-2105-16-S18-S6)

Shisyou number: ≦ 5

1. Tom Roby, Itaru Terada : A Two-Dimensional Pictorial Presentation of Berele's Insertion Algorithm for Symplectic Tableaux. The Electronic Journal of Combinatorics, Vol.12, 2005, Article R4
2. Tom Roby, Frank Sottile, Jeffrey Stroomer, Julian West : Jeux de tableaux. In: Proceedings of The 12th international conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2000), Springer, 2000, pp.332-343 (ISBN: 9783540672470)
3. Cristian Lenart, Frank Sottile : Skew Schubert polynomials. Proceedings of the American Mathematical Society, Vol.131, No.11, 2003, pp.3319-3328 (DOI: 10.1090/S0002-9939-03-06919-3)
4. Cristian Lenart, Toshiaki Maeno : Alcove path and Nichols-Woronowicz model of the equivariant $K$-theory of generalized flag varieties. International Mathematics Research Notices, 2006, Article 78356 (DOI: 10.1155/IMRN/2006/78356)
5. Koji Nuida, Takuro Abe, Shizuo Kaji, Toshiaki Maeno, Yasuhide Numata : A mathematical problem for security analysis of hash functions and pseudorandom generators. International Journal of Foundations of Computer Science, Vol.26, No.2, 2015, pp.169-194 (DOI: 10.1142/s0129054115500100)