Research Output 1979 2019

1999
1 Citation (Scopus)

Parallelization of ILU decomposition for elliptic boundary value problem of the PDE on AP3000

Moriya, K. & Nodera, T., 1999, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Verlag, Vol. 1615. p. 344-353 10 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 1615).

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

LU decomposition
Elliptic Boundary Value Problems
Parallelization
Preconditioner
Boundary value problems
1 Citation (Scopus)

Substitution in two symbols and transcendence

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

Research output: Contribution to journalArticle

Transcendence
Substitution
6 Citations (Scopus)

Vertex-disjoint claws in graphs

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

Research output: Contribution to journalArticle

Claw
Disjoint
Minimum Degree
Graph in graph theory
Vertex of a graph
1998
Confluent Hypergeometric Function
Stokes
Multiplier
Asymptotic Expansion

On a generalized bessel function of two variables II. Case of coalescing saddle points

Shimomura, S., 1998 Sep, In : Tohoku Mathematical Journal. 50, 3, p. 389-406 18 p.

Research output: Contribution to journalArticle

Bessel Functions
Systems of Partial Differential Equations
Saddlepoint
Generalized Functions
Locus
10 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Asymmetric Traveling Salesman Problem
Distance Matrix
Traveling salesman problem
Travelling salesman problems
Polynomial time
3 Citations (Scopus)

The parallelization of the incomplete LU factorization on AP1000

Nodera, T. & Tsuno, N., 1998, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1470 LNCS. p. 788-792 5 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 1470 LNCS).

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

Incomplete LU Factorization
Factorization
Parallelization
Preconditioner
Parallel Machines
2 Citations (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.

Research output: Contribution to journalArticle

Intersecting Family
Covering number
Cover
Restriction
Upper bound
1997

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

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

Research output: Contribution to journalArticle

Oscillatory Solution
Painlevé Equations
Initial value problems
Initial Value Problem
Asymptotic Expansion
1 Citation (Scopus)
Confluent Hypergeometric Function
Linear Ordinary Differential Equations
Singular Point
Locus
Irregular
10 Citations (Scopus)

Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

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

Research output: Contribution to journalArticle

Dehn Twist
Quadrangulation
Parity
Cycle
Isotopy
12 Citations (Scopus)

Diagonal transformations of graphs and dehn twists of surfaces

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

Research output: Contribution to journalArticle

Dehn Twist
Quadrangulation
Closed
Isotopy
Triangulation
4 Citations (Scopus)

Every Graph Is an Integral Distance Graph in the Plane

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

Research output: Contribution to journalArticle

Integral Graphs
Distance Graph
Finite Graph
Simple Graph
Adjacent
2 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Long Cycle
Connected graph
Cycle
Theorem
30 Citations (Scopus)

On the pagenumber of complete bipartite graphs

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

Research output: Contribution to journalArticle

Complete Bipartite Graph
Thing
Upper bound
1996
15 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Degree Condition
Minimum Degree
Induced Subgraph
Connected graph
Odd
8 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Algebraic Independence
Linear Recurrence
Power series
4 Citations (Scopus)

Connected spanning subgraphs of 3-connected planar graphs

Enomoto, H., Iida, T. & Ota, K., 1996 Nov, In : Journal of Combinatorial Theory. Series B. 68, 2, p. 314-323 10 p.

Research output: Contribution to journalArticle

Spanning Subgraph
Minimum Degree
Planar graph
Connected graph
Confluent Hypergeometric Function
Systems of Partial Differential Equations
13 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Intersecting Family
Covering number
Counterexample
Cover
Ring or annulus
7 Citations (Scopus)

Exponents of uniform L-systems

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

Research output: Contribution to journalArticle

Steiner System
L-system
Refinement
Exponent
Upper bound
1 Citation (Scopus)

Polynomial invariants of graphs II

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

Research output: Contribution to journalArticle

Polynomial Invariants
Polynomials
Polynomial
Graph in graph theory
Tutte Polynomial
1995
31 Citations (Scopus)

Cycles through prescribed vertices with large degree sum

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

Research output: Contribution to journalArticle

Degree Sum
Hamiltonians
Connected graph
Cycle
Lower bound
2 Citations (Scopus)

Non-contractible edges in a 3-connected graph

Egawa, Y., Ota, K., Saito, A. & Yu, X., 1995 Sep, In : Combinatorica. 15, 3, p. 357-364 8 p.

Research output: Contribution to journalArticle

Connected graph
Contraction
Upper bound
36 Citations (Scopus)

Note on irreducible triangulations of surfaces

Nakamoto, A. & Ota, K., 1995, In : Journal of Graph Theory. 20, 2, p. 227-233 7 p.

Research output: Contribution to journalArticle

Triangulation
Genus
Closed
7 Citations (Scopus)

Uniform intersecting families with covering number four

Frankl, P., Ota, K. & Tokushige, N., 1995, In : Journal of Combinatorial Theory, Series A. 71, 1, p. 127-145 19 p.

Research output: Contribution to journalArticle

Intersecting Family
Covering number
Counterexample
Configuration
1994
17 Citations (Scopus)

Contractile triples in 3-connected graphs

McCuaig, W. & Ota, K., 1994, In : Journal of Combinatorial Theory, Series B. 60, 2, p. 308-314 7 p.

Research output: Contribution to journalArticle

Connected graph
Adjacent
Graph in graph theory
Vertex of a graph
1 Citation (Scopus)

On a Generalized Bessel Function of Two Variables, I

Shimomura, S., 1994 Oct 15, In : Journal of Mathematical Analysis and Applications. 187, 2, p. 468-484 17 p.

Research output: Contribution to journalArticle

Bessel functions
Bessel Functions
Generalized Functions
1993
3 Citations (Scopus)
Confluent Hypergeometric Function
Stokes
Multiplier
Asymptotic Expansion
Locus

On unramified galois extensions of certain algebraic number fields

Komatsu, K. & Nodera, T., 1993, In : Tokyo Journal of Mathematics. 16, 2, p. 351-354 4 p.

Research output: Contribution to journalArticle

Algebraic number Field
Galois Extension
Prime Ideal
Roots
If and only if
11 Citations (Scopus)

The 3‐connected graphs having a longest cycle containing only three contractible edges

Aldred, R. E. L., Hemminger, R. L. & Ota, K., 1993, In : Journal of Graph Theory. 17, 3, p. 361-371 11 p.

Research output: Contribution to journalArticle

Contractible Edge
Long Cycle
Graph in graph theory
Exception
1992
7 Citations (Scopus)

Localization of diffusion processes in one-dimensional random environment

Kawazu, K., Tamura, Y. & Tanaka, H., 1992, In : Journal of the Mathematical Society of Japan. 44, 3, p. 515-550 36 p.

Research output: Contribution to journalArticle

Random Environment
Diffusion Process
Constant Scalar Curvature
Conformal Transformation
Transformation group
Compact Manifold
Riemannian Manifold
1991

On an asymptotic property of a nonlinear ordinary differential equation

Shimomura, S., 1991, In : Tokyo Journal of Mathematics. 14, 2, p. 329-340 12 p.

Research output: Contribution to journalArticle

Nonlinear Ordinary Differential Equations
Asymptotic Properties
31 Citations (Scopus)

Regular factors in K1,n free graphs

Egawa, Y. & Ota, K., 1991, In : Journal of Graph Theory. 15, 3, p. 337-344 8 p.

Research output: Contribution to journalArticle

Minimum Degree
Induced Subgraph
Graph in graph theory
1989

Certain random motion of a ball colliding with infinite particles of jump type

Tanemura, H., 1989 Jan 1, In : Tokyo Journal of Mathematics. 12, 1, p. 59-73 15 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
20 Citations (Scopus)

Limit theorems for one-dimensional diffusions and random walks in random environments

Kawazu, K., Tamura, Y. & Tanaka, H., 1989 Feb, In : Probability Theory and Related Fields. 80, 4, p. 501-541 41 p.

Research output: Contribution to journalArticle

Random Walk in Random Environment
Random Environment
Limit Theorems
Limiting Behavior
Diffusion Model
1988
9 Citations (Scopus)

Approximations of real numbers by the sequence {nα} and their metrical theory

Ito, S. & Nakada, H., 1988 Mar, In : Acta Mathematica Hungarica. 52, 1-2, p. 91-100 10 p.

Research output: Contribution to journalArticle

Approximation
7 Citations (Scopus)

On ergodic theory of A. Schmidt's complex continued fractions over Gaussian field

Nakada, H., 1988 Jun, In : Monatshefte für Mathematik. 105, 2, p. 131-150 20 p.

Research output: Contribution to journalArticle

Compound or complex fraction
Gaussian Fields
Ergodic Theory
Continued fraction
Hyperbolic Space
1981
99 Citations (Scopus)

Metrical theory for a class of continued fraction transformations and their natural extensions

Nakada, H., 1981, In : Tokyo Journal of Mathematics. 4, 2, p. 399-426 28 p.

Research output: Contribution to journalArticle

Natural Extension
Continued fraction
Class
1979
38 Citations (Scopus)

On unimodal linear transformations and chaos I

Ito, S., Tanaka, S. & Nakada, H., 1979, In : Tokyo Journal of Mathematics. 2, 2, p. 221-239 19 p.

Research output: Contribution to journalArticle

Linear transformation
Chaos
56 Citations (Scopus)

On unimodal linear transformations and chaos II

Ito, S., Tanaka, S. & Nakada, H., 1979, In : Tokyo Journal of Mathematics. 2, 2, p. 241-259 19 p.

Research output: Contribution to journalArticle

Linear transformation
Chaos