Atsuhiro Nakamoto

ORCID: 0000-0003-1023-4831
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About
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Research Areas
  • Advanced Graph Theory Research
  • Computational Geometry and Mesh Generation
  • Graph Labeling and Dimension Problems
  • graph theory and CDMA systems
  • Mathematics and Applications
  • Advanced Combinatorial Mathematics
  • Geometric and Algebraic Topology
  • Limits and Structures in Graph Theory
  • Graph theory and applications
  • Digital Image Processing Techniques
  • Finite Group Theory Research
  • Mathematical Dynamics and Fractals
  • Advanced Materials and Mechanics
  • Advanced Topology and Set Theory
  • Advanced Differential Equations and Dynamical Systems
  • Interconnection Networks and Systems
  • Topological and Geometric Data Analysis
  • Supramolecular Self-Assembly in Materials
  • Quasicrystal Structures and Properties
  • semigroups and automata theory
  • Commutative Algebra and Its Applications
  • Homotopy and Cohomology in Algebraic Topology
  • Cellular Automata and Applications
  • Data Management and Algorithms
  • Developmental and Educational Neuropsychology

Yokohama National University
2013-2024

Seikei University
2017

John Wiley & Sons (United States)
2016

Hudson Institute
2016

Osaka Kyoiku University
2000-2005

Shimane University
2001

Keio University
1995-1996

Abstract In this paper, we shall show that an irreducible triangulation of a closed surface F 2 has at most cg vertices, where g stands for genus and c constant. © 1995, John Wiley & Sons, Inc.

10.1002/jgt.3190200211 article EN Journal of Graph Theory 1995-10-01

In this paper, it will be shown that any two bipartite quadrangulations of closed surface are transformed into each other by kinds transformations, called the diagonal slide and rotation, up to homeomorphism, if they have same sufficiently large number vertices. © 1996 John Wiley & Sons, Inc.

10.1002/(sici)1097-0118(199603)21:3<289::aid-jgt3>3.0.co;2-m article EN Journal of Graph Theory 1996-03-01

Abstract It has been shown that every quadrangulation on any nonspherical orientable closed surface with a sufficiently large representativity chromatic number at most 3. In this paper, we show G nonorientable N k least 4 if cycle of odd length which cuts open into an surface. Moreover, characterize the quadrangulations torus and Klein bottle exactly By our characterization, prove 9 3, 7 3 cutting annulus even length. As application theory, admits eulerian triangulation 5 arbitrarily...

10.1002/jgt.1005 article EN Journal of Graph Theory 2001-05-25

10.1006/jctb.1996.0040 article EN publisher-specific-oa Journal of Combinatorial Theory Series B 1996-07-01

10.1006/jctb.1996.0041 article EN publisher-specific-oa Journal of Combinatorial Theory Series B 1996-07-01

Abstract Let G be a graph and let S ⊂ V ( ). We say that is dominating in if each vertex of or adjacent to . show every triangulation on the torus Klein bottle with n vertices has set cardinality at most \documentclass{article}\usepackage{amssymb}\footskip=0pc\pagestyle{empty}\begin{document} $\frac{n}{3}$ \end{document} Moreover, we same conclusion holds for any non‐spherical surface sufficiently large representativity. These results generalize plane triangulations proved by Matheson Tarjan...

10.1002/jgt.20401 article EN Journal of Graph Theory 2009-03-18

10.1006/jctb.1996.0070 article EN publisher-specific-oa Journal of Combinatorial Theory Series B 1996-11-01

10.1006/jctb.1998.1889 article EN publisher-specific-oa Journal of Combinatorial Theory Series B 1999-05-01

10.1016/s0095-8956(03)00072-8 article EN Journal of Combinatorial Theory Series B 2003-07-16

10.1016/j.jctb.2008.06.006 article EN publisher-specific-oa Journal of Combinatorial Theory Series B 2008-07-07
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