Research Output 1979 2020

2004
8 Citations (Scopus)

Poles and α-points of meromorphic solutions of the first Painlevé hierarchy

Shimomura, S., 2004 Jul, In : Publications of the Research Institute for Mathematical Sciences. 40, 2, p. 471-485 15 p.

Research output: Contribution to journalArticle

Meromorphic Solution
Pole
Estimate
Corollary
Higher Order
4 Citations (Scopus)

Vertex-disjoint cycles containing specified vertices in a bipartite graph

Chen, G., Enomoto, H., Kawarabayashi, K. I., Ota, K., Lou, D. & Saito, A., 2004 Jul, In : Journal of Graph Theory. 46, 3, p. 145-166 22 p.

Research output: Contribution to journalArticle

Degree Condition
Minimum Degree
Bipartite Graph
Disjoint
Cycle
2003
5 Citations (Scopus)

2-connected 7-coverings of 3-connected graphs on surfaces

Kawarabayashi, K. I., Nakamoto, A. & Ota, K., 2003 May, In : Journal of Graph Theory. 43, 1, p. 26-36 11 p.

Research output: Contribution to journalArticle

Graphs on Surfaces
Connected graph
Covering
Euler
Genus
21 Citations (Scopus)

Diagonal Flips in Hamiltonian Triangulations on the Sphere

Mori, R., Nakamoto, A. & Ota, K., 2003, In : Graphs and Combinatorics. 19, 3, p. 413-418 6 p.

Research output: Contribution to journalArticle

Hamiltonians
Triangulation
Flip
Hamilton Cycle
Transform
19 Citations (Scopus)

Entropic repulsion for a Gaussian lattice field with certain finite range interaction

Sakagawa, H., 2003 Jul 1, In : Journal of Mathematical Physics. 44, 7, p. 2939-2951 13 p.

Research output: Contribution to journalArticle

Entropic Repulsion
Discrete Laplacian
Gaussian Fields
Simple Random Walk
Sample mean
2 Citations (Scopus)

Erratum: Invariant measures and asymptotics for some skew products (Israel Journal of Mathematics (2002) 128 (93-134))

Aaronson, J., Nakada, H., Sarig, O. & Solomyak, R., 2003, In : Israel Journal of Mathematics. 138, p. 377-379 3 p.

Research output: Contribution to journalArticle

Skew Product
Invariant Measure
16 Citations (Scopus)

Growth of the first, the second and the fourth Painlevé transcendents

Shimomura, S., 2003 Mar, In : Mathematical Proceedings of the Cambridge Philosophical Society. 134, 2, p. 259-269 11 p.

Research output: Contribution to journalArticle

Meromorphic Solution
Auxiliary Function
Estimate
8 Citations (Scopus)

Lower Estimates for the Growth of Painlevé Transcendents

Shimomura, S., 2003, In : Funkcialaj Ekvacioj. 46, 2, p. 287-295 9 p.

Research output: Contribution to journalArticle

Painlevé
Estimate
13 Citations (Scopus)

On metric Diophantine approximation in positive characteristic

Inoue, K. & Nakada, H., 2003, In : Acta Arithmetica. 110, 3, p. 205-218 14 p.

Research output: Contribution to journalArticle

Diophantine Approximation
Positive Characteristic
Metric
8 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Continued fraction
Jacobi
Limit Distribution
Stationary Process
Theorem
16 Citations (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.

Research output: Contribution to journalArticle

Painlevé Equations
Painlevé
2 Citations (Scopus)

Riccati differential equations with elliptic coefficients II

Ishizaki, K., Laine, I., Shimomura, S. & Tohge, K., 2003 Mar, In : Tohoku Mathematical Journal. 55, 1, p. 99-108 10 p.

Research output: Contribution to journalArticle

Weierstrass Function
Riccati Differential Equation
Meromorphic
Special Functions
Periodicity
9 Citations (Scopus)

Semisimple extensions of irrational rotations

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

Research output: Contribution to journalArticle

Semisimple
Cocycle
Abelian group
Automorphisms
13 Citations (Scopus)

Subgraphs of graphs on surfaces with high representativity

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

Research output: Contribution to journalArticle

Graphs on Surfaces
Connected graph
Subgraph
Covering
Degree Sum
12 Citations (Scopus)

Trimmed sums for non-negative, mixing stationary processes

Aaronson, J. & Nakada, H., 2003 Apr 1, In : Stochastic Processes and their Applications. 104, 2, p. 173-192 20 p.

Research output: Contribution to journalArticle

Trimmed Sums
Mixing Processes
Trimming
Strong law of large numbers
Stationary Process
2002
20 Citations (Scopus)

Choice number of some complete multi-partite graphs

Enomoto, H., Ohba, K., Ota, K. & Sakamoto, J., 2002 Feb 6, In : Discrete Mathematics. 244, 1-3, p. 55-66 12 p.

Research output: Contribution to journalArticle

Complete multipartite Graph
Graph in graph theory
Chromatic number

Chromatic Numbers and Cycle Parities of Quadrangulations on Nonorientable Closed Surfaces

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

Research output: Contribution to journalArticle

Quadrangulation
Chromatic number
Parity
Cycle
Closed

Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400

Tanaka, T. & Nodera, T., 2002, Proceedings of the Third International Conference on Engineering Computational Technology. Topping, B. H. V., Bittnar, Z., Topping, B. H. V. & Bittnar, Z. (eds.). p. 115-116 2 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Boundary value problems
Partial differential equations
Data storage equipment
Experiments
Convection
2 Citations (Scopus)

Erratum: Principal series whittaker functions on Sp(2; R), II (Tohoku Mathematical Journal (1998) 50 (243-260))

Miyazaki, T. & Oda, T., 2002 Mar, In : Tohoku Mathematical Journal. 54, 1, p. 161-162 2 p.

Research output: Contribution to journalArticle

Whittaker Function
Series
1 Citation (Scopus)

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

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

Research output: Contribution to journalArticle

Whittaker Function
Nilpotent Orbits
Generalized Functions
Functor
Orbit

On 3-coloring of plane triangulations

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

Research output: Contribution to journalArticle

Triangulation
Coloring
Colouring
Face
Vertex Coloring
2 Citations (Scopus)

On a Fluctuation Identity for Multidimensional Lévy Processes

Tamura, Y. & Tanaka, H., 2002 Jan 1, In : Tokyo Journal of Mathematics. 25, 2, p. 363-380 18 p.

Research output: Contribution to journalArticle

Lévy Process
Fluctuations
1 Citation (Scopus)

On a hamiltonian cycle in which specified vertices are not isolated

Kaneko, A., Kawarabayashi, K. I., Ota, K. & Yoshimoto, K., 2002 Dec 6, In : Discrete Mathematics. 258, 1-3, p. 85-91 7 p.

Research output: Contribution to journalArticle

Hamiltonians
Hamiltonian circuit
Vertex Degree
Minimum Degree
Vertex of a graph
6 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Small Function
Meromorphic Solution
Rational Solutions
Transcendental
Intersect
1 Citation (Scopus)

On separable self-complementary graphs

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

Research output: Contribution to journalArticle

Self-complementary Graph
5 Citations (Scopus)

Oscillation results for n-th order linear differential equations with meromorphic periodic coefficients

Shimomura, S., 2002 Jun, In : Nagoya Mathematical Journal. 166, p. 55-82 28 p.

Research output: Contribution to journalArticle

Meromorphic Solution
Periodic Coefficients
Meromorphic
Linear differential equation
Oscillation
8 Citations (Scopus)

Some metric properties of α-continued fractions

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

Research output: Contribution to journalArticle

Continued fraction
Metric
Integer
Continued Fraction Expansion
Theorem
1 Citation (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.

Research output: Contribution to journalArticle

Hamilton Cycle
Graph in graph theory
Undirected Graph
Complete Graph
Adjacent
2 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Transcendence
Series
Algebraic number
Imply
Integer
2001
4 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Traveling salesman problem
Travelling salesman problems
Polynomials
Analogue
Polynomial time
29 Citations (Scopus)

Chromatic numbers of quadrangulations on closed surfaces

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

Research output: Contribution to journalArticle

Quadrangulation
Chromatic number
Klein bottle
Closed
Torus
23 Citations (Scopus)

Fractional chromatic numbers of cones over graphs

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

Research output: Contribution to journalArticle

Fractional Chromatic number
Cone
Graph in graph theory
Generalise
4 Citations (Scopus)

Hamiltonian cycles in n-factor-critical graphs

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

Research output: Contribution to journalArticle

Factor Graph
Hamiltonians
Critical Graph
Hamiltonian circuit
Exception
1 Citation (Scopus)

On a problem of Schweiger concerning normal numbers

Kraaikamp, C. & Nakada, H., 2001 Feb, In : Journal of Number Theory. 86, 2, p. 330-340 11 p.

Research output: Contribution to journalArticle

Normal number
Imply
Unit cube
Counterexample
n-dimensional
2 Citations (Scopus)

Pole loci of solutions of a degenerate Garnier system

Shimomura, S., 2001 Mar, In : Nonlinearity. 14, 2, p. 193-203 11 p.

Research output: Contribution to journalArticle

loci
Locus
Pole
Poles
poles
4 Citations (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.

Research output: Contribution to journalArticle

4-manifold
Signature
Closed
9 Citations (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.

Research output: Contribution to journalArticle

5 Citations (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, In : Australasian Journal of Combinatorics. 23, p. 37-48 12 p.

Research output: Contribution to journalArticle

Degree Condition
Bipartite Graph
Paul Adrien Maurice Dirac
Disjoint
Cycle
2 Citations (Scopus)

Vertex-Disjoint Paths in Graphs

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

Research output: Contribution to journalArticle

Disjoint Paths
Minimum Degree
Graph in graph theory
Vertex of a graph
Degree Sum
2000
1 Citation (Scopus)

Graph decompositions and D3-paths with a prescribed endvertex

Enomoto, H., Matsunaga, S. & Ota, K., 2000 Feb 28, In : Discrete Mathematics. 213, 1-3, p. 87-104 18 p.

Research output: Contribution to journalArticle

Graph Decomposition
Decomposition
Path
Graph in graph theory
Integer
10 Citations (Scopus)

Multiple recurrence of Markov shifts and other infinite measure preserving transformations

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

Research output: Contribution to journalArticle

Measure-preserving Transformations
Recurrence
2 Citations (Scopus)

On meromorphic solutions of a linear differential equation with doubly periodic coefficients

Shimomura, S., 2000 Sep, In : Illinois Journal of Mathematics. 44, 3, p. 593-601 9 p.

Research output: Contribution to journalArticle

Meromorphic Solution
Value Distribution
Periodic Coefficients
Linear differential equation
8 Citations (Scopus)

On Minimally (n, λ)-Connected Graphs

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

Research output: Contribution to journalArticle

Connected graph
Subset
Subgraph
Vertex Connectivity
Edge-connectivity
12 Citations (Scopus)

On normal numbers for continued fractions

Kraaikamp, C. & Nakada, H., 2000 Oct, In : Ergodic Theory and Dynamical Systems. 20, 5, p. 1405-1421 17 p.

Research output: Contribution to journalArticle

Normal number
Continued fraction
Continued Fraction Expansion
Integer
If and only if
10 Citations (Scopus)

Partitions of a graph into paths with prescribed endvertices and lengths

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

Research output: Contribution to journalArticle

Degree Sum
Disjoint Paths
Minimum Degree
Partition
Denote
13 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

GMRES
Restart
Linear system of equations
Linear systems
Arnoldi Process
8 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Small Function
Meromorphic Solution
Value Distribution
Transcendental
Ramification
1999
4 Citations (Scopus)

Algebraic independence of sums of reciprocals of the Fibonacci numbers

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

Research output: Contribution to journalArticle

Linear Recurrence Relation
Algebraic Independence
Periodic Sequence
Lame number
Algebraic number
11 Citations (Scopus)

Algebraic independence results related to linear recurrences

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

Research output: Contribution to journalArticle

Independence Results
Algebraic Independence
Linear Recurrence
11 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Degree Sum
Planar graph
Connected graph
Subgraph
Decompose