数理科学科

研究成果

年別の研究成果 1977 2008 2010 2011 2012 2014 2015 2016 2017 2018 2019 2020 2021 2022

• 364 Article
• 34 Conference contribution
• 8 Conference article
• 3 Chapter
• 9 その他
  • 3 Comment/debate
  • 3 Editorial
  • 2 Paper
  • 1 Review article

年別の研究成果

年別の研究成果

検索結果

• 2003

  On the Metrical Theory of Continued Fraction Mixing Fibred Systems and Its Application to Jacobi-Perron Algorithm

  Nakada, H. & Natsui, R., 2003 4月 1, In: Monatshefte fur Mathematik. 138, 4, p. 267-288 22 p.

  研究成果: Article › 査読

  • Continued fraction 100%
  • Jacobi 92%
  • Limit Distribution 35%
  • Stationary Process 32%
  • Stochastic Processes 27%
  12 被引用数 (Scopus)

• Proofs of the Painlevé property for all Painlevé equations

  Shimomura, S., 2003, In: Japanese Journal of Mathematics. 29, 2, p. 159-180 22 p.

  研究成果: Article › 査読
  19 被引用数 (Scopus)

• Semisimple extensions of irrational rotations

  Lemańczyk, M., Mentzen, M. K. & Nakada, H., 2003, In: Studia Mathematica. 156, 1, p. 31-57 27 p.

  研究成果: Article › 査読

  Open Access

  • Semisimple 100%
  • Cocycle 53%
  • Abelian group 44%
  • Automorphism 40%
  9 被引用数 (Scopus)

• Subgraphs of graphs on surfaces with high representativity

  Kawarabayashi, K. I., Nakamoto, A. & Ota, K., 2003 11月, In: Journal of Combinatorial Theory. Series B. 89, 2, p. 207-229 23 p.

  研究成果: Article › 査読

  • Graphs on Surfaces 100%
  • Subgraph 55%
  • Covering 55%
  • Connected graph 54%
  • Klein bottle 44%
  15 被引用数 (Scopus)
• 2002

  Chromatic Numbers and Cycle Parities of Quadrangulations on Nonorientable Closed Surfaces

  Nakamoto, A., Negami, S. & Ota, K., 2002 7月, In: Electronic Notes in Discrete Mathematics. 11, p. 509-518 10 p.

  研究成果: Article › 査読

  • Quadrangulation 100%
  • Parity 72%
  • Chromatic number 69%
  • Cycle 50%
  • Closed 41%

• Invariant measures and asymptotics for some skew products

  Aaronson, J., Nakada, H., Sarig, O. & Solomyak, R., 2002 1月 1, In: Israel Journal of Mathematics. 128, p. 93-134 42 p., BF02785420.

  研究成果: Article › 査読

  • Group Extension 100%
  • Skew Product 97%
  • Invariant Measure 74%
  • Ergodic Theorem 45%
  • Ergodicity 41%
  22 被引用数 (Scopus)

• Nilpotent orbits and Whittaker functions for derived functor modules of Sp(2, ℝ)

  Miyazaki, T., 2002 8月, In: Canadian Journal of Mathematics. 54, 4, p. 769-794 26 p.

  研究成果: Article › 査読

  • Whittaker Function 100%
  • Nilpotent Orbits 98%
  • Generalized Functions 70%
  • Functor 63%
  • Character 56%
  1 被引用数 (Scopus)

• On 3-coloring of plane triangulations

  Nakamoto, A., Ota, K. & Watanabe, M., 2002 7月 1, In: Electronic Notes in Discrete Mathematics. 11, p. 519-524 6 p.

  研究成果: Article › 査読

  • Coloring 100%
  • Vertex Coloring 99%
  • Triangulation 94%
  • Divides 81%
  • Colouring 72%

• On a hamiltonian cycle in which specified vertices are not isolated

  Kaneko, A., Kawarabayashi, K. I., Ota, K. & Yoshimoto, K., 2002 12月 6, In: Discrete Mathematics. 258, 1-3, p. X85-91

  研究成果: Article › 査読

  Open Access

  • Hamiltonian circuit 100%
  • Vertex of a graph 51%
  • Vertex Degree 49%
  • Minimum Degree 46%
  • Adjacent 37%
  1 被引用数 (Scopus)

• On deficiencies of small functions for Painlevé transcendents of the fourth kind

  Shimomura, S., 2002 11月 1, In: Annales Academiae Scientiarum Fennicae Mathematica. 27, 1, p. 109-120 12 p.

  研究成果: Article › 査読

  • Small Function 100%
  • Meromorphic Solution 98%
  • Rational Solutions 92%
  • Deficiency 83%
  • Transcendental 82%
  7 被引用数 (Scopus)

• On separable self-complementary graphs

  Kawarabayashi, K. I., Nakamoto, A., Oda, Y., Ota, K., Tazawa, S. & Watanabe, M., 2002 11月 6, In: Discrete Mathematics. 257, 1, p. 165-168 4 p.

  研究成果: Article › 査読

  Open Access

  • Self-complementary Graph 100%
  1 被引用数 (Scopus)

• Some metric properties of α-continued fractions

  Nakada, H. & Natsui, R., 2002 12月 1, In: Journal of Number Theory. 97, 2, p. 287-300 14 p.

  研究成果: Article › 査読

  • Continued fraction 100%
  • Metric 64%
  • Integer 51%
  • Continued Fraction Expansion 39%
  • Theorem 13%
  8 被引用数 (Scopus)

• The diameters of some transition graphs constructed from Hamilton cycles

  Hagita, M., Oda, Y. & Ota, K., 2002, In: Graphs and Combinatorics. 18, 1, p. 105-117 13 p.

  研究成果: Article › 査読

  • Hamilton Cycle 100%
  • Graph in graph theory 36%
  • Undirected Graph 25%
  • Complete Graph 24%
  • Adjacent 21%
  1 被引用数 (Scopus)

• Transcendence of the values of certain series with Hadamard's gaps

  Tanaka, T. A., 2002 3月 1, In: Archiv der Mathematik. 78, 3, p. 202-209 8 p.

  研究成果: Article › 査読

  • Transcendence 100%
  • Series 48%
  • Algebraic number 45%
  • Imply 25%
  • Integer 20%
  3 被引用数 (Scopus)
• 2001

  An asymmetric analogue of van der Veen conditions and the traveling salesman problem

  Oda, Y., 2001 5月 15, In: Discrete Applied Mathematics. 109, 3, p. 279-292 14 p.

  研究成果: Article › 査読

  • Traveling salesman problem 100%
  • Travelling salesman problems 91%
  • Polynomials 64%
  • Analogue 54%
  • Polynomial time 22%
  4 被引用数 (Scopus)

• Chromatic numbers of quadrangulations on closed surfaces

  Archdeacon, D., Hutchinson, J., Nakamoto, A., Negam, S. & Ota, K., 2001 6月, In: Journal of Graph Theory. 37, 2, p. 100-114 15 p.

  研究成果: Article › 査読

  • Quadrangulation 100%
  • Chromatic number 69%
  • Klein bottle 47%
  • Closed 41%
  • Torus 19%
  30 被引用数 (Scopus)

• Fractional chromatic numbers of cones over graphs

  Archdeacon, D., Hutchinson, J., Nakamoto, A., Negam, S. & Ota, K., 2001 10月, In: Journal of Graph Theory. 38, 2, p. 87-94 8 p.

  研究成果: Article › 査読

  • Fractional Chromatic number 100%
  • Cone 52%
  • Graph in graph theory 30%
  • Generalise 11%
  • Generalization 11%
  32 被引用数 (Scopus)

• Hamiltonian cycles in n-factor-critical graphs

  Kawarabayashi, K. I., Ota, K. & Saito, A., 2001 9月 28, In: Discrete Mathematics. 240, 1-3, p. 71-82 12 p.

  研究成果: Article › 査読

  • Factor Graph 100%
  • Critical Graph 85%
  • Hamiltonian circuit 78%
  • Exception 46%
  • Graph in graph theory 32%
  4 被引用数 (Scopus)

• Spin 4-manifolds with signature= -32

  Furuta, M., Kametani, Y. & Matsue, H., 2001, In: Mathematical Research Letters. 8, 3, p. 293-301 9 p.

  研究成果: Article › 査読

  Open Access

  • 4-manifold 100%
  • Signature 83%
  • Closed 25%
  5 被引用数 (Scopus)

• The first, the second and the fourth Painlevé transcendents are of finite order S

  Shimomura, H., 2001, In: Proceedings of the Japan Academy Series A: Mathematical Sciences. 77, 3, p. 42-45 4 p.

  研究成果: Article › 査読

  Open Access
  10 被引用数 (Scopus)

• Vertex-disjoint cycles containing specified edges in a bipartite graph

  Chen, G., Enomoto, H., Kawarabayashi, K. I., Ota, K., Lou, D. & Saito, A., 2001 12月 1, In: Australasian Journal of Combinatorics. 23, p. 37-48 12 p.

  研究成果: Article › 査読

  • Degree Condition 100%
  • Paul Adrien Maurice Dirac 75%
  • Bipartite Graph 70%
  • Disjoint 60%
  • Cycle 53%
  5 被引用数 (Scopus)

• Vertex-Disjoint Paths in Graphs

  Egawa, Y. & Ota, K., 2001 12月 1, In: Ars Combinatoria. 61, p. 23-31 9 p.

  研究成果: Article › 査読

  • Disjoint Paths 100%
  • Vertex of a graph 48%
  • Minimum Degree 43%
  • Graph in graph theory 38%
  • Degree Sum 27%
  3 被引用数 (Scopus)
• 2000

  Multiple recurrence of Markov shifts and other infinite measure preserving transformations

  Aaronson, J. & Nakada, H., 2000 1月 1, In: Israel Journal of Mathematics. 117, p. 285-310 26 p.

  研究成果: Article › 査読

  • Measure-preserving Transformations 100%
  • Recurrence 72%
  • Concepts 13%
  • Class 7%
  10 被引用数 (Scopus)

• On Minimally (n, λ)-Connected Graphs

  Kaneko, A. & Ota, K., 2000 9月, In: Journal of Combinatorial Theory. Series B. 80, 1, p. 156-171 16 p.

  研究成果: Article › 査読

  • Connected graph 100%
  • Subset 23%
  • Subgraph 22%
  • Vertex Connectivity 18%
  • Edge-connectivity 16%
  9 被引用数 (Scopus)

• Partitions of a graph into paths with prescribed endvertices and lengths

  Enomoto, H. & Ota, K., 2000 6月, In: Journal of Graph Theory. 34, 2, p. 163-169 7 p.

  研究成果: Article › 査読

  • Pi 100%
  • Partition 71%
  • Path 66%
  • Degree Sum 63%
  • Disjoint Paths 57%
  10 被引用数 (Scopus)

• The DEFLATED-GMRES(m, k) method with switching the restart frequency dynamically

  Moriya, K. & Nodera, T., 2000 1月 1, In: Numerical Linear Algebra with Applications. 7, 7-8, p. 569-584 16 p.

  研究成果: Article › 査読

  • Restart 100%
  • GMRES 93%
  • Linear systems 33%
  • Linear system of equations 33%
  • Arnoldi Process 23%
  13 被引用数 (Scopus)

• Value distribution of Painlevé transcendents of the first and the second kind

  Shimomura, S., 2000 1月 1, In: Journal d'Analyse Mathematique. 82, p. 333-346 14 p.

  研究成果: Article › 査読

  • Small Function 100%
  • Meromorphic Solution 98%
  • Value Distribution 94%
  • Ramification 86%
  • Deficiency 83%
  9 被引用数 (Scopus)
• 1999

  Algebraic independence of sums of reciprocals of the Fibonacci numbers

  Nishioka, K., Tanaka, T. A. & Toshimitsu, T., 1999 1月 1, In: Mathematische Nachrichten. 202, p. 97-108 12 p.

  研究成果: Article › 査読

  • Linear Recurrence Relation 100%
  • Algebraic Independence 97%
  • Periodic Sequence 89%
  • Algebraic number 80%
  • Lame number 80%
  4 被引用数 (Scopus)

• Algebraic independence results related to linear recurrences

  Tanaka, T. A., 1999 3月 1, In: Osaka Journal of Mathematics. 36, 1, p. 203-227 25 p.

  研究成果: Article › 査読
  11 被引用数 (Scopus)

• Connected subgraphs with small degree sums in 3-connected planar graphs

  Enomoto, H. & Ota, K., 1999 3月, In: Journal of Graph Theory. 30, 3, p. 191-203 13 p.

  研究成果: Article › 査読

  • Degree Sum 100%
  • Planar graph 68%
  • Subgraph 62%
  • Connected graph 61%
  • Decompose 12%
  11 被引用数 (Scopus)

• Lower bounds for the number of edge-crossings over the spine in a topological book embedding of a graph

  Enomoto, H., Miyauchi, M. S. & Ota, K., 1999 6月, In: Discrete Applied Mathematics. 92, 2-3, p. 149-155 7 p.

  研究成果: Article › 査読

  Open Access

  • Book Embedding 100%
  • Spine 84%
  • Lower bound 42%
  • Graph in graph theory 29%
  • Drawing 15%
  25 被引用数 (Scopus)

• Substitution in two symbols and transcendence

  Nishioka, K., Tanaka, T. A. & Wen, Z. Y., 1999, In: Tokyo Journal of Mathematics. 22, 1, p. 127-136 10 p.

  研究成果: Article › 査読

  Open Access
  1 被引用数 (Scopus)

• Vertex-disjoint claws in graphs

  Egawa, Y. & Ota, K., 1999 2月 28, In: Discrete Mathematics. 197-198, p. 225-246 22 p.

  研究成果: Article › 査読

  Open Access

  • Claw 100%
  • Disjoint 56%
  • Minimum Degree 49%
  • Vertex of a graph 40%
  • Graph in graph theory 32%
  7 被引用数 (Scopus)
• 1998

  Pyramidal tours with step-backs and the asymmetric traveling salesman problem

  Enomoto, H., Oda, Y. & Ota, K., 1998 10月 5, In: Discrete Applied Mathematics. 87, 1-3, p. 57-65 9 p.

  研究成果: Article › 査読

  Open Access

  • Asymmetric Traveling Salesman Problem 100%
  • Distance Matrix 83%
  • Traveling salesman problem 80%
  • Travelling salesman problems 73%
  • Polynomial time 53%
  10 被引用数 (Scopus)

• Uniform Intersecting Families with Covering Number Restrictions

  Frankl, P., Ota, K. & Tokushige, N., 1998, In: Combinatorics Probability and Computing. 7, 1, p. 47-56 10 p.

  研究成果: Article › 査読

  • Intersecting Family 100%
  • Covering number 91%
  • Cover 53%
  • Restriction 49%
  • Upper bound 15%
  2 被引用数 (Scopus)
• 1997

  An initial value problem associated with a painlevé equation on the positive real axis

  Shimomura, S., 1997 12月, In: Nonlinear Analysis, Theory, Methods and Applications. 30, 4, p. 2161-2168 8 p.

  研究成果: Article › 査読

• A system associated with the confluent hypergeometric function Φ₃ and a certain linear ordinary differential equation with two irregular singular points

  Shimomura, S., 1997 8月 1, In: International Journal of Mathematics. 8, 5, p. 689-702 14 p.

  研究成果: Article › 査読

  • Confluent Hypergeometric Function 100%
  • Linear Ordinary Differential Equations 87%
  • Singular Point 74%
  • Irregular 73%
  • Locus 69%
  1 被引用数 (Scopus)

• Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

  Nakamoto, A. & Ota, K., 1997 3月, In: Journal of Combinatorial Theory. Series B. 69, 2, p. 125-141 17 p.

  研究成果: Article › 査読

  • Dehn Twist 100%
  • Quadrangulation 99%
  • Parity 71%
  • Cycle 49%
  • Isotopy 42%
  11 被引用数 (Scopus)

• Diagonal transformations of graphs and dehn twists of surfaces

  Nakamoto, A. & Ota, K., 1997 7月, In: Journal of Combinatorial Theory. Series B. 70, 2, p. 292-300 9 p.

  研究成果: Article › 査読

  Open Access

  • Dehn Twist 100%
  • Quadrangulation 49%
  • Isotopy 42%
  • Closed 41%
  • Triangulation 33%
  13 被引用数 (Scopus)

• Every Graph Is an Integral Distance Graph in the Plane

  Maehara, H., Ota, K. & Tokushige, N., 1997 11月, In: Journal of Combinatorial Theory. Series A. 80, 2, p. 290-294 5 p.

  研究成果: Article › 査読

  • Integral Graphs 100%
  • Distance Graph 93%
  • Finite Graph 68%
  • Simple Graph 63%
  • Adjacent 56%
  5 被引用数 (Scopus)

• Long Cycles Passing Through a Specified Edge in a 3-Connected Graph

  Enomoto, H., Hirohata, K. & Ota, K., 1997 3月, In: Journal of Graph Theory. 24, 3, p. 275-279 5 p.

  研究成果: Article › 査読

  • Long Cycle 100%
  • Connected graph 62%
  • Cycle 26%
  • Theorem 15%
  2 被引用数 (Scopus)

• On the pagenumber of complete bipartite graphs

  Enomoto, H., Nakamigawa, T. & Ota, K., 1997 9月, In: Journal of Combinatorial Theory. Series B. 71, 1, p. 111-120 10 p.

  研究成果: Article › 査読

  • Complete Bipartite Graph 100%
  • Thing 89%
  • Upper bound 58%
  35 被引用数 (Scopus)
• 1996

  A Degree Condition for the Existence of Regular Factors in K₁, _n-Free Graphs

  Ota, K. & Tokuda, T., 1996 5月, In: Journal of Graph Theory. 22, 1, p. 59-64 6 p.

  研究成果: Article › 査読

  • Degree Condition 100%
  • Minimum Degree 79%
  • Induced Subgraph 76%
  • Connected graph 61%
  • Odd 54%
  17 被引用数 (Scopus)

• Algebraic independence of the values of power series generated by linear recurrences

  Tanaka, T. A., 1996, In: Acta Arithmetica. 74, 2, p. 177-190 14 p.

  研究成果: Article › 査読

  Open Access
  8 被引用数 (Scopus)

• Connected spanning subgraphs of 3-connected planar graphs

  Enomoto, H., Iida, T. & Katsuhiro, O., 1996 11月, In: Journal of Combinatorial Theory. Series B. 68, 2, p. 314-323 10 p.

  研究成果: Article › 査読

  • Spanning Subgraph 100%
  • Minimum Degree 85%
  • Planar graph 75%
  • Connected graph 67%
  5 被引用数 (Scopus)

• Connection formulae for solutions of a system of partial differential equations associated with the confluent hypergeometric function </>2

  Shimomura, S., 1996, In: Proceedings of the Japan Academy Series A: Mathematical Sciences. 72, 4, p. 82-84 3 p.

  研究成果: Article › 査読

  Open Access

• Covers in uniform intersecting families and a counterexample to a conjecture of Lovász

  Frankl, P., Ota, K. & Tokushige, N., 1996 4月, In: Journal of Combinatorial Theory. Series A. 74, 1, p. 33-42 10 p.

  研究成果: Article › 査読

  • Intersecting Family 100%
  • Covering number 91%
  • Counterexample 61%
  • Cover 53%
  • Ring or annulus 39%
  19 被引用数 (Scopus)

• Exponents of uniform L-systems

  Frankl, P., Ota, K. & Tokushige, N., 1996 7月, In: Journal of Combinatorial Theory. Series A. 75, 1, p. 23-43 21 p.

  研究成果: Article › 査読

  • L-system 100%
  • Steiner System 92%
  • Refinement 59%
  • Exponent 53%
  • Necessary 46%
  7 被引用数 (Scopus)

• Polynomial invariants of graphs II

  Negami, S. & Ota, K., 1996 1月 1, In: Graphs and Combinatorics. 12, 2, p. 189-198 10 p.

  研究成果: Article › 査読

  • Polynomial Invariants 100%
  • Polynomial 40%
  • Graph in graph theory 35%
  • Tutte Polynomial 33%
  • Computer Experiments 32%
  2 被引用数 (Scopus)
• 1995

  Cycles through prescribed vertices with large degree sum

  Ota, K., 1995 10月 13, In: Discrete Mathematics. 145, 1-3, p. 201-210 10 p.

  研究成果: Article › 査読

  • Degree Sum 100%
  • Connected graph 61%
  • Cycle 53%
  • Lower bound 25%
  • Denote 23%
  32 被引用数 (Scopus)