## Ochiai, Mitsuyuki

Compute Distance To:
 Author ID: ochiai.mitsuyuki Published as: Ochiai, Mitsuyuki
 Documents Indexed: 21 Publications since 1977 1 Contribution as Editor · 1 Further Contribution Co-Authors: 10 Co-Authors with 11 Joint Publications 26 Co-Co-Authors
all top 5

### Co-Authors

 12 single-authored 3 Sakata, Yoshiko 3 Takahashi, Moto-o 2 Homma, Tatsuo 1 Cho, Il Yeun 1 Fukuhara, Shinji 1 Ikeda, Hiroshi 1 Imafuji, Noriko 1 Kako, Fujio 1 Kitamura, Masako 1 Kobayashi, Kazuaki 1 Kobayashi, Tsuyoshi 1 Kodama, Kouzi 1 Marumoto, Yoshihiko 1 Maruyama, Noriko 1 Matsumoto, Yukio 1 Morimoto, Kanji 1 Morimura, Noriko 1 Motegi, Kimihiko 1 Murakami, Jun 1 Murakami, Jyun 1 Ohshika, Ken’ichi 1 Saeki, Osamu 1 Sakuma, Makoto 1 Satoh, Kayo 1 Shigehara, Masaaki 1 Takeuchi, Yoshihiro 1 Wada, Masaaki 1 Yamada, Akio 1 Yamada, Syuji 1 Yamashita, Masakatsu 1 Yasuda, Tomoyuki 1 Yeun, Cho Il
all top 5

### Serials

 3 Osaka Journal of Mathematics 2 Journal of the Mathematical Society of Japan 2 Mathematics Seminar Notes 2 Transactions of the American Mathematical Society 2 Yokohama Mathematical Journal 2 Journal of Knot Theory and its Ramifications 2 Experimental Mathematics 2 RIMS Kokyuroku 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Proceedings of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 RIMS Kokyuroku 1 Far East Journal of Mathematical Sciences
all top 5

### Fields

 21 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Computer science (68-XX) 1 Group theory and generalizations (20-XX) 1 General topology (54-XX)

### Citations contained in zbMATH Open

14 Publications have been cited 59 times in 50 Documents Cited by Year
An algorithm for recognizing $$S^ 3$$ in 3-manifolds with Heegaard splittings of genus two. Zbl 0454.57002
Homma, Tatsuo; Ochiai, Mitsuyuki; Takahashi, Moto-o
1980
Heegaard diagrams of 3-manifolds. Zbl 0757.57014
Ochiai, Mitsuyuki
1991
Heegaard-diagrams and Whitehead-graphs. Zbl 0444.57004
Ochiai, Mitsuyuki
1979
Computational construction of $$W$$-graphs of Hecke algebras $$H(q,n)$$ for $$n$$ up to $$15$$. Zbl 0846.20016
Ochiai, Mitsuyuki; Kako, Fujio
1995
On Haken’s theorem and its extension. Zbl 0532.57008
Ochiai, Mitsuyuki
1983
Computer aided knot theory using Mathematica and MathLink. Zbl 1024.57008
Imafuji, Noriko; Ochiai, Mitsuyuki
2002
Heegaard diagrams of torus bundles over $$S^ 1$$. Zbl 0507.57007
Takahashi, Moto-o; Ochiai, Mitsuyuki
1982
Subgraphs of $$W$$-graphs and the 3-parallel version polynomial invariants of links. Zbl 0849.57008
Ochiai, Mitsuyuki; Murakami, Jun
1994
A Heegaard-diagram of the 3-sphere. Zbl 0574.57004
Ochiai, Mitsuyuki
1985
Base-tangle decompositions of $$n$$-string tangles with $$1< n< 10$$. Zbl 1153.57009
Ochiai, Mitsuyuki; Morimura, Noriko
2008
On relations of Heegaard diagrams and knots. Zbl 0391.57006
Homma, Tatsuo; Ochiai, Mitsuyuki
1978
Heegaard splittings of $$F\times S^1$$. Zbl 0394.57016
Ochiai, Mitsuyuki
1977
A counterexample to a conjecture of Whitehead and Volodin-Kuznetsov-Fomenko. Zbl 0408.57005
Ochiai, M.
1979
2-sided embeddings of projective planes into 3-manifolds. Zbl 0538.57005
Ochiai, Mitsuyuki
1982
Base-tangle decompositions of $$n$$-string tangles with $$1< n< 10$$. Zbl 1153.57009
Ochiai, Mitsuyuki; Morimura, Noriko
2008
Computer aided knot theory using Mathematica and MathLink. Zbl 1024.57008
Imafuji, Noriko; Ochiai, Mitsuyuki
2002
Computational construction of $$W$$-graphs of Hecke algebras $$H(q,n)$$ for $$n$$ up to $$15$$. Zbl 0846.20016
Ochiai, Mitsuyuki; Kako, Fujio
1995
Subgraphs of $$W$$-graphs and the 3-parallel version polynomial invariants of links. Zbl 0849.57008
Ochiai, Mitsuyuki; Murakami, Jun
1994
Heegaard diagrams of 3-manifolds. Zbl 0757.57014
Ochiai, Mitsuyuki
1991
A Heegaard-diagram of the 3-sphere. Zbl 0574.57004
Ochiai, Mitsuyuki
1985
On Haken’s theorem and its extension. Zbl 0532.57008
Ochiai, Mitsuyuki
1983
Heegaard diagrams of torus bundles over $$S^ 1$$. Zbl 0507.57007
Takahashi, Moto-o; Ochiai, Mitsuyuki
1982
2-sided embeddings of projective planes into 3-manifolds. Zbl 0538.57005
Ochiai, Mitsuyuki
1982
An algorithm for recognizing $$S^ 3$$ in 3-manifolds with Heegaard splittings of genus two. Zbl 0454.57002
Homma, Tatsuo; Ochiai, Mitsuyuki; Takahashi, Moto-o
1980
Heegaard-diagrams and Whitehead-graphs. Zbl 0444.57004
Ochiai, Mitsuyuki
1979
A counterexample to a conjecture of Whitehead and Volodin-Kuznetsov-Fomenko. Zbl 0408.57005
Ochiai, M.
1979
On relations of Heegaard diagrams and knots. Zbl 0391.57006
Homma, Tatsuo; Ochiai, Mitsuyuki
1978
Heegaard splittings of $$F\times S^1$$. Zbl 0394.57016
Ochiai, Mitsuyuki
1977
all top 5

### Cited by 59 Authors

 5 Cavicchioli, Alberto 5 Saito, Toshio 4 Ochiai, Mitsuyuki 3 Morimoto, Kanji 3 Spaggiari, Fulvia 2 De Wit, David 2 Ishihara, Kai 2 Jablan, Slavik Vlado 2 Johannson, Klaus 2 Sakata, Yoshiko 2 Sazdanović, Radmila 1 Ahara, Kazushi 1 Baker, Kenneth L. 1 Bandieri, Paola 1 Banks, Stephen Paul 1 Bellettini, Giovanni 1 Boileau, Michel Charles 1 Braden, Tom 1 Chernavskiĭ, Alekseĭ Viktorovich 1 Cho, Il Yeun 1 Endoh, Mariko 1 Eudave-Muñoz, Mario 1 Fung, Francis Y. C. 1 Gagliardi, Carlo 1 Ichihara, Kazuhiro 1 Itik, Mehmet 1 Kako, Fujio 1 Kang, Sungmo 1 Korablev, Philipp Glebovich 1 Leksin, Vladimir Pavlovich 1 Links, Jon Robert 1 Matohashi, Tomoe 1 Matveev, Sergeĭ Vladimirovich 1 McLarnan, Timothy J. 1 Meier, Jeffrey 1 Müller-Nedebock, Kristian K. 1 Murakami, Jun 1 Nawata, Satoshi 1 Núñez, Víctor 1 Ozawa, Makoto 1 Ozbagci, Burak 1 Paolini, Maurizio 1 Predieri, Francesca 1 Ramadevi, Pichai 1 Ramírez-Losada, Enrique 1 Remigio-Juárez, Jair 1 Rohwer, C. M. 1 Satoh, Kayo 1 Singh, Vivek Kumar 1 Stoimenow, Alexander 1 Takasawa, Mitsuhiko 1 Volzone, Gaetano 1 Wang, Yi-Sheng 1 Warrington, Gregory S. 1 Williamson, Geordie 1 Yasuhara, Akira 1 Yin, Yunchuan 1 Zieschang, Heiner 1 Zupan, Alexander
all top 5

### Cited in 28 Serials

 7 Topology and its Applications 7 Journal of Knot Theory and its Ramifications 4 Algebraic & Geometric Topology 2 Manuscripta Mathematica 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 International Journal of Algebra and Computation 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 1 Discrete Mathematics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Annals of Pure and Applied Logic 1 Aequationes Mathematicae 1 Bulletin of the American Mathematical Society. New Series 1 Representation Theory 1 Geometry & Topology 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
all top 5

### Cited in 11 Fields

 44 Manifolds and cell complexes (57-XX) 6 Group theory and generalizations (20-XX) 4 Combinatorics (05-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)