Papers
Dissertation
Computational Algebraic Analyses for Unimodular or Lawrence-Type Integer Programs.
The University of Tokyo, 2003.
English abstract
PS file with Japanese abstract / PDF file with Japanese abstract
PS file without Japanese abstract / PDF file without Japanese abstract
Refereed Paper
- Standard pairs for Lawrence-type matrices and their applications to
several Lawrence-type integer programs (with H. Imai), accepted to "Optimization Methods and Software" (special issue of JSOM 2002).
- Platoon Matching and Travel Time Estimation based on Vehicle Alignment (with H. Shimoura, S. Nishimura, K. Tenmoku, T. Iwamoto, H. Kobayashi and H. Imai), "A Publication of Industry Applications Society", The Transactions of The Institute of Electrical Engineers of Japan, Vol.122-D, No.4, pp. 359--365, 2002.
Preprint
- Dualistic computational algebraic analyses of primal and dual minimum cost flow problems on acyclic tournament graphs (with H. Nakayama and H. Imai), math.CO/0206159. in Los Alamos e-print archive (Updated: 02.10.02)
Not Refereed Paper
- Gr{\"o}bner bases
- Groebner Bases for Toric Ideals of Tournament Graphs (with H. Imai), IPSJ SIG Notes SIG 99-AL-70 (1999), pp. 41--48. (Abstract / PS file (Japanese) / PDF file(Japanese)) Notice
- Analysis of Groebner Bases for Toric Ideals of Acyclic Tournament Graphs, Master's thesis. Department of Information Science, Faculty of Science, The University of Tokyo. 2000. (Abstract / PS file / PDF file)
- Complexity of Groebner Bases for Toric Ideals of Acyclic Directed Graphs (with H. Imai), RIMS Kokyuroku, Kyoto University, Research Institute for Mathematical Science, 1148 (2000), pp. 134--139, 2000. (Abstract / PS file / PDF file)
- Gr{\"o}bner Bases of Acyclic Tournament Graphs and Hypergeometric Systems on the Group of Unipotent Matrices (with H. Imai), RIMS Kokyuroku, Kyoto University, Research Institute for Mathematical Science, 1171 (2000), pp. 7--20. (Abstract / PS file / PDF file)
- Gr{\"o}bner Bases of Acyclic Directed Graphs and Reductions in Conti-Traverso Algorithm, RIMS Kokyuroku, Kyoto University, Research Institute for Mathematical Science, 1175, 2000, pp. 63--71. (Abstract / PS file / PDF file)
- Gr{\"o}bner Bases for Toric Ideals of Acyclic Directed Graphs and their Applications to Minimum Cost Flow Problem (with H. Imai), "Optimization---Modeling and Algorithms 14---", The Institute of Statistical Mathematics Cooperative Research Report 135 (2000), pp. 152--165. (Abstract / PS file / PDF file)
- Standard pair decompositions of toric ideals and minimum cost flow problems (with H. Imai), IPSJ SIG Notes SIG 2002-AL-82 (2002), pp. 17--24. (Abstract / PS file) Notice
- Analysis of toric ideal on dual problem of minimum cost flow (with H. Nakayama and H. Imai), IPSJ SIG Notes SIG 2002-AL-84 (2002). (Abstract / PS file) Notice
- Polytope
- Geometric Shellings of 3-polytopes (with F. Takeuchi), in Proc. of Canadian conference on computational geometry '99. (Abstract / PS file / PDF file)
- Analysis of Traffic Flow
- Analysis of Traffic Flow Using Vehicle Data Sequences at Two Observation Points (with H. Kobayashi, M. Endo, H. Imai, S. Nishimura, H. Shimoura and K. Tenmoku), SIG Notes ITS-4 (2000), pp. 9--16. (English Abstract)
- An Algorithm for Traffic Flow Analysis Using Vehicle Data Sequences at Two Observation Points (with H. Kobayashi, M. Endo, H. Imai, S. Nishimura, H. Shimoura and K. Tenmoku), IPSJ SIG Notes SIG 00-AL-72 (2000), pp. 17--24. (English Abstract)
- Platoon Matching and Travel Time Estimation based on Vehicle Alignment (with H. Shimoura, S. Nishimura, K. Tenmoku, H. Kobayashi and H. Imai), 2000.
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