数学論文（英文）

2024年

・Unveil the Scecret hidden in the Haberdashers’s Puzzle －Survery on Reversibility－, (with S. Langerman and K. Matsunaga)

・Treks into Intuitive Geometry (2^nd Ed.), (with K. Matsunaga), Springer

・Determination of all Graphs whose Eccentiric graphs are Clusters, (with T. Kodate and K. Matsunaga), Electronic J. of Graph Theory and Applications, Vol.12, No2 (2024)

 

2023年

・Möbius Flowers, (with K. Matsunaga and S. Nakajima), Thai J. Math. 21 (4) (2023), 1081-1098

 

2021年

・A Prettier Shell on the Seashore: The Conway Criterion, (with K. Matsunaga), Math. Intelligencer, 43(2) (2021), 99-107, MR4278482

 

2020年

・An Algorithm for Finding a Conway Tile into an Isotetrahedron or a Rectangle Dihedron, (with K. Matsunaga), J. Information Processing 28 (2020), 750-758

・Twenty years of progress of JCDCG3, (with H. Ito, T. Sakai and Y. Uno), Graphs and Combinatorics, 36(2) (2020), 181-203, MR4081155

・Polyhedral Characterization of Reversible Hinged Dissections, (with E. Demaine and S. Langerman), Graphs and Combinatorics, 36(2) (2020), 221-229, MR4081157

 

2019年

・Metric of Wythoffian Polytopes, Measured with Conxeter-Dynkin Diagram, (with I. Sato), Symmetry: Art and Science, 2019-11th Congress and Exhibition of SIS, 242-245 (2019)

・Unfoldings of an Envelope, (with K. Matsunaga), European J. Comb., 80 (2019), 3-16, MR3987343

 

2018年

・Only Isotetrahedra Can Be Stampers, (with K. Matsunaga), Math Mag. 88(1), 187-191, MR3808777

 

2017年

・Reversibility and Foldability of Conway Tiles, (with K. Matsunaga), Computational Geometry 64 (2017), 30-45, MR3638945

・A recursive Algorithm for the k-face Numbers of Wythoffian-n-polytopes Constructed from Regular Polytopes, (with Sin Hitotumatu, Motonaga Ishii, Akihiro Matsuura, Ikuro Sato and Shun Toyoshima), Journal of Information Processing 25, 528-536 (2017)

・Generalization of Haberdasher’s Puzzle, (with Kiyoko Matsunaga), Discrete and Computational Geometry 58 (1) (2017), 30-50, MR365828　

 

2016年

・Reversible Nets of Polyhedra, (with S. Langerman and K. Matsunaga), Discrete and Computational Geometry and Graphs 2015, LNCS 9943 (2016), 13-23, MR3595568

 

2015年

・Treks into Intuitive Geometry ―The world of Polygons and Polyhedra, Springer Tokyo, 2015 XV+425, SBN:978- 4-431-55841-5; 978-4-431-55843-9, MR3380801 

・A Criterion for a pair of Convex Polygons to be Reversible, (with H. Seong), Graphs and Combinatorics 31 (2015), 347-360, MR3326142

 

2014年

・A decision Algorithm for Reversible Pairs of Polygons, (with D. Rappaport and H. Seong), Discrete Applied Math. 178 (2014), 19-26, MR3258159

 

2013年

・Atoms for Parallelohedra, (with M. Kobayashi, H. Nakagawa, G. Nakamura and I. Sato), Geometry-Intuitive, Discrete and Convex, Bolyai Society Math. Studies 24 (2013), 23-43, Springer-Verlag, MR3204553

・On the diagonal weights of inscribed Polytopes, (with I. Sato), Elemente der Mathematik 68(3) (2013), 89-92, European Math Soc., MR3079242

・An Algorithm for Determining Whether a Pair of Polygons is Reversible, (with H. Seong), Frontiers in Algorithmics and Alogorithmic Aspects in Information and Management, LNCS7924(2013), 2-3

・Tessellabilities, Reversibilities, and Decomposabilities of Polytopes (A survey), (with I. Sato and H. Seong), GSI 2013, LNCS 8085 (2013), 215-223, MR3126048

・Operators which Preserve Reversibility, (with H. Seong), Computational Geometry and Graphs, LNCS 8296 (2013), 1-19

・A Note on the Existence of a Universal Polytope among Regular 4-Polytopes, (with S. Hitotumatu and I. Sato), J. Indones. Math. Soc. 19(1) (2013), 41-47, MR3073422

 

2012年

・On Reversibility among Parallelohedra, (with I. Sato and H. Seong), Computational Geometry, LNCS 7579 (2012), 14-28, MR3446115

・Determination of the Element Numbers of Regular Polytopes, (with S. Hitotumatu and I. Sato), Geometriae Dedicata 159 (2012), 89-97, MR2944522

 

2011年

・Determination of All Tessellation Polyhedra with Regular Polygonal Faces, (with T, Kuwata et.al.), Computational Geometry and Graph Theory, Lecture Notes in Computer Science, Springer 7033, 1-11 (2011), MR2927305

・Minimum Perimeter Developments of the Platonic Solids, (with G. Nakamura, X. Chen and M-J. Ruiz), Thai J. of Math, 9(3), 461-487 (2011), MR2862042

・Arrangements of n Points whose Incident-Line-Numbers are at most n/2, (with H. Ito, M. Kobayashi, and G. Nakamura), Graphs and Combinatorics, 27(3), 321-326 (2011), MR2787419

・The Element Number of the Convex Regular Polytopes, (with I. Sato), Geometriae Dedicata, 151 (1), 269-278 (2011), Springer, MR2780751

 

2010年

・Problems and Conjectures on Polyhedra, Severino V. Gervacio International Conference in Graph Theory and Combinatorics, The DLSU Mathematics Inbox, Special issue 2009, 13-36 (2010)

・Element Number of the Platonic Solids, (with H. Maehara, G. Nakamura, and I. Sato), Geometriae Dedicata 145 (1), 181-193 (2010), Springer-Verlag

 

2008年

・Chromatic Numbers of Specified Isohedral Tilings, (with C. Nara), Computational Geometry and Graph Theory, Lecture Notes in Comput. Sci. Springer-Verlag 4535, 14-24 (2008), MR2672379

・Dudeney Transformation of Normal Tiles, (with M. Kobayashi and G. Nakamura), Computational Geometry and Graph Theory Lecture Notes in Computer Science Vol.4535 (2008), 1-13, MR2672378

・Universal Measuring Boxes with Triangular Bases, (with H. Fukuda, C. Nara, T. Sakai and J. Urrutia), Amer. Math. Monthly, 115(3) (2008), 195-201, MR2395030

 

2007年

・Developments of Polyhedra Using Oblique Coordinates, (with C. Nara), J. Indonesian Math. Society 13(1), 99-114 (2007), MR2321849

・Tile-Makers and Semi-Tile-Makers, Amer. Math. Monthly 114, 602-609(2007), MR2341323 (2008j:52032)

・Infinite Series of Generalized Gosper Space Filling Curves, (with H. Fukuda, H. Ito and G. Nakamura), Discrete Geometry, Combinatorics and Graph Theory, Lecture Notes in Comput. Sci. Springer-Verlag 4381, 1-9 (2007) MR2364743 (2009a:28019)

 

2006年

・Tilings and Fractals from Developments of Doubly-Covered Squares, (with C. Nara), Matimyas Matematika, J. Philippines Math. Soc. 29 (3), 15-24 (2006)

・Self-Replicating Tilings and Fractals from Developments of Doubly-Covered Squares, (with C. Nara), Proc. Int’l. Conf. Math. Nat. Sci. (ICMNS), 17-22 (2006)

・Equidistant Pairs on Two Lattice Lines, (with M. Kobayashi, G. Nakamura and C. Nara), The Bulletin of the Higher Education Research Institute, Tokai University 14, 65-72 (2006)

・Convex Developments of a Regular Tetrahedron, Computational Geometry: Theory and Applications, (with K. Hirata, M. Kobayashi and G. Nakamura), 34(1), 2-10 (2006), MR2205942 (2006k:52027)

・Editorial [Special issue on the Japan Conference on Discrete and Computational Geometry 2004]. Held at Tokai University, Tokyo, October 8-11, 2004. Comput. Geom. 34 (1) (2006) 52-06 (52B55 65-06 65D18 68-06 68U05) (with M. Kano, X. Tan), MR2205941

 

2005年

・Foldings of Regular Polygons to Convex Polyhedra I: Equilateral Triangles, (with G. Nakamura), Combinatorial Geometry and Graph Theory, Lecture Notes in Comput. Sci. Springer-Verlag 3330, 34-43 (2005), MR2172957 (2006e:52004)

・Uniform Coverings of 2-Paths with 6-Paths in the Complete Graph, (with M. Kobayashi and G. Nakamura), Combinatorial Geometry and Graph Theory, Lecture Notes in Comput. Sci. Springer-Verlag 3330, 25-33 (2005) MR2172956 (2006e:05132)

・Flat 2-Foldings of Convex Polygons, (with K. Hirata, M-J. Ruiz and J. Urrutia), Combinatorial Geometry and Graph Theory, Lecture Notes in Comput. Sci. Springer-Verlag 3330, 14-24 (2005), MR2172955 (2006e:52003)

・On Convex Developments of a Doubly-Covered Square, (with K. Hirata), Combinatorial Geometry and Graph Theory, Lecture Notes in Comput. Sci. Springer-Verlag 3330, 1-13 (2005), MR2172954 (2006e:52002)

 

2004年

・Foldings of Regular Polygons to Convex Polyhedra III: Regular Hexagons and Regular n-Gons, n ≥ 7, (with G. Nakamura) , Thai J. Math. 2(1), 1-14 (2004)

・A Problem on Hinged Dissections with Colours, (with F. Hurtado, C. Merino and J. Urrutia), Graphs and Combinatorics 20 (2), 145-159 (2004), MR2080102

・Symmetric Hamilton Cycle Decompositions of the Complete Graph, (with M. Kobayashi and G. Nakamura), Journal of Combinatorial Designs 12 (1), 39-45 (2004), MR2024248 (2004i:05089)

 

2003年

・Impact of Binary and Fibonacci Expansions of Numbers on Winning Strategies for Nim-like Games, (with T. Ooya), International Journal of Mathematical Education in Science and Technology 34 (1),　121－135 (2003) (MR1958736)

・A Problem on Hinged Dissections with Colours, (with F. Hurtado, C. Merino and J. Urrutia), Graphs and Combinatorics 20 (2), 145-159 (2004), MR2080102

・Maximum Distance for n Points in a Unit Square or a Unit Circle, (with G. Nakamura, R. Mochizuki and N. Mutoh), Discrete and Computational Geometry, Lecture Notes in Comput. Sci., Springer-Verlag 2866, 9-13 (2003), MR2097247 (2005g:52042)

・Universal Measuring Devices with Rectangular Base, (with H. Fukuda and G. Nakamura), Discrete and Computational Geometry, Lecture Notes in Comput. Sci., Springer-Verlag 2866, 1-8 (2003), MR2097246

・Foldings of Regular Polygons to Convex Polyhedra II: Regular Pentagons, (with G. Nakamura), J. Indones. Math. Soc. (MIHMI)　9(2), 89-99 (2003), MR2023091 (2005a:52013)

・Determination of All Convex Polygons which are Chameleons－Congruent Dudeney Dissections of Polygons－, (with G. Nakamura), IEICE TRANS. Fundamentals E86-A (5), 978-986 (2003)

・Congruent Dudeney Dissections of Triangles and Convex Quadrilaterals-All Hinge Points Interior to the Sides of the Polygons, (with G. Nakamura), Discrete and Computational Geometry, The Goodman-Pollack Festschrift. (B. Aronov, S. Basu, J. Pach and M. Shrir, eds.), Algorithms and Combinatorics, Springer-Verlag 25, 43-63 (2003), MR2038469 (2004m:52029)

・The Optimality of a Certain Purely Recursive Dissection for a Sequentially n-Divisible Square, (with G. Nakamura, A. Nozaki, K. Ozawa and T. Sakai), Computational Geometry: Theory and Applications 24(1), 27-39 (2003), MR1949922 (2003K:90032)

 

2002年

・Graphs G for which both G and Ĝ are Contraction Critically k-Connected, (with K. Ando and Y. Egawa), Graphs and Combinatorics 18(4), 693-708 (2002), MR1964786 (2004b:05119)

・On Dudeney’s Round Table Problem for p＋2, (with M. Kobayashi and G. Nakamura), Ars Combinatorica 62, 145-154 (2002), MR1881954 (2002j:05096)

・Congruent Dudeney dissections of polygons. I－All the hinge points are vertices of the polygon－, (with G. Nakamura), The Ninth Quadrennial International Conference on Graph Theory, Combinatorics, Algorithms and Applications, 8. (electronic), Electron. Notes Discrete Math., 11, Elsevier, Amsterdam, (2002)52B45(05B25), MR2155750

 

2001年

・Simple Winning Strategies for Wythoff's Game, (with T. Ooya), The Bulletin of the Higher Education Research Institute, Tokai University 9, 53-60 (2001)

・Sequentially Divisible Dissections of Simple Polygons, Discrete and Computational Geometry, (with T. Sakai and J. Urrutia), Lecture Notes in Comput. Sci., Springer-Verlag 2098, 53-66 (2000), MR2043637

・A Note on the Purely Recursive Dissection for a Sequentially n-Divisible Square, (with G. Nakamura, A. Nozaki and K. 0zawa), Discrete and Computational Geometry, Lecture Notes in Comput. Sci., Springer-Verlag 2098, 41-52 (2001), MR2043636

・Universal Measuring Devices without Gradations, (with H. Fukuda, G. Nakamura, T. Sakai, J. Urrutia and C. Zamora-Cura), Discrete and Computational Geometry, Lecture Notes in Comput. Sci., Springer-Verlag 2098, 31-40 (2001), MR2043635

・Dudeney Dissections of Polygons and Polyhedrons－A Survey－, (with G. Nakamura), Discrete and Computational Geometry, Lecture Notes in Comput. Sci., Springer-Verlag 2098, 1-30 (2001), MR2043634

 

2000年

・Solids Through Reflecting Mirrors, (with G. Nakamura), Teaching Mathematics and Its Applications 19 (2), 0xford University Press, 62-68 (2000)

・Variations of the Tiling Problem, (with G. Nakamura), Teaching Mathematics and Its Applications, 0xford University Press 19 (1), 8-12 (2000)

・Dudeney Dissections of Polygons, (with G. Nakamura), Discrete and Computational Geometry, Lecture Notes in Comput. Sci., Springer-Verlag 1763, 14-29 (2000), MR1787513

・Radial Perfect Partitions of Convex Sets in the Plane, (with A. Kaneko, M. Kano, G. Nakamura, E. Rivera-Campo, S. Tokunaga and J. Urrutia), Discrete and Computational Geometry, Lecture Notes in Comput. Sci., Springer-Verlag 1763, 1-13 (2000), MR1787512

 

1999年

・A Lesson on Double Packable Solids, (with G. Nakamura), Teaching Mathematics and Its Applications, 0xford University Press 18 (1), 30-33 (1999)

・Stochastic Voting Protocol to Protect Voters Privacy, (with H. Kikuchi, H. Gobioff and G. Nakamura), 1999 IEEE Workshop on Internet Applications, IEEE Computer Society 103－111 (1999)

 

1998年

・Complete Arrangement of Chessboards, (with M-J. Ruiz), The Bulletin of the Higher Education Research Institute, Tokai University 6, 99-112 (1998)

・Perfect Divisions of a Cake, (with E. Rivera-Campo, G. Nakamura and J. Urrutia), Proc. of the Tenth Canadian Conference on Computational Geometry ‘98, 1-9 (1998)

 

1997年

・Wrapping a Cube, Teaching Mathematics and Its Applications, (with T. 0oya and Y. Segawa), Oxford University Press 16 (3), 95-100 (1997)

・An Efficient Dissection for a Sequentially n-Divisible Square, (with G. Nakamura), Proc. of Discrete and Computational Geometry Workshop ‘97, 80-89 (1997)

 

1996年

・On Circles Containing the Maximum Number of Points, (with Y. Ishigami, M. Urabe and J. Urrutia), Discrete Mathematics 151 (1-3), 15-18 (1996), MR1391246

 

1993年

・Some Combinatorial Problems, (with K. Hosono and M. Urabe), Discrete Mathematics 116 (1-3), 291-298 (1993), MR1222128

 

1992年

・A generalization of a Problem Posed in Mathematics Olympiad, (with M. Nakajima), Proc. Fac. Sci. Tokai University. 27, 59-61 (1992), MR1218841(94d:51019)

 

1990年

・Packing Paths Perfectly, (with V. Chvátal), Discrete Mathematics 85(3), 247-255 (1990), MR1081834 (92a: 68114)

・Simple Alternating Path Problem, (with J. Urrutia), Discrete Mathematics 84 (1), 101-103 (1990), MR1065718 (91d:05084)

・A Note on Balanced Colourings for Lattice Points, (with J. Urrutia), Discrete Mathematics 83 (1),　123-126　(1990), MR1065692 (91f:05049)

 

1989年

・Path Chromatic Numbers of Graphs, (with H. Era, S.V. Gervacio and M. Watanabe), Journal of Graph Theory 13 (5), 569-575 (1989), MR1016277 (90g:05076)

・Packing Smaller Graphs into a Graph, (with F. Nakada and S. Tokunaga), Discrete Mathematics 75 (1-3), 7-9 (1989), MR1001380 (90c:05159)

・Disjoint Simplices and Geometric Hypergraphs, (with N. Alon), Combinatorial Mathematics: Annals of the New York Academy of Sciences 555, 1-3 (1989), MR1018601

 

1987年

・Maximum Induced Forests of Planar Graphs, (with M. Watanabe), Graphs and Combinatorics 3 (2), Research Problem 201-202 (1987), MR1554352

 

1985年

・Intersection Graphs and Their Applications, (with M-J. Ruiz), Matimyás Mathematika, Philippines Math. Soc. 9(1), 8-33 (1985), MR0816112 (86m:05037)

・Eccentric Graphs, (with K. Ando and D. Avis), Discrete Mathematics 56 (1), 1-6 (1985), MR0808082 (87d: 05134)

・1-Factors of Triangle Graphs, Number Theory and Combinatorics, (with M. Kano), Tokyo 1984, World Scientific Publishing 21-35 (1985), MR0827775

・Tiling Finite Figures Consisting of Regular Polygons, (with M. Kano and M-J. Ruiz), Proc. of the 5th International Conference on Graph Theory and its Applications, Wiley-Interscience 1-13 (1985), MR0812652 (87h:05069)

・On the Size of Graphs with Complete-Factors, (with P. Frankl), Journal of Graph Theory 9(1), (1985) 197-201, MR0785662 (86g:05069)

・Almost-Regular Factorization of Graphs, (with M. Kano), Journal of Graph Theory 9(1) (1985), 123-128, MR0785655 (86f:05073)

・Factors and Factorizations of Graphs－A Survey, (with M. Kano), Journal of Graph Theory 9(1), 1-42 (1985), MR0785648 (86e:05070)

 

1984年

・Introduction to Graph Factors, (with M-J. Ruiz), Matimyas Mathematika, Philippines Math. Soc. 8 (1), 1-26 (1984)

・Cube Factors, (with D. Avis), Graph Theory and its Applications, Lecture Notes in Comput. Sci., Springer-Verlag 1073, 93-99 (1984), MR0761009 85k:05082)

・A Graph and Its Complement with Specified Properties VIII: Interval Graphs, (with K. Ando and F. Harary), Mathematica Japonica 29 (4), 659-670 (1984), MR0759456 (86b:05061)

・Miscellaneous Properties of Equi-Eccentric Graphs, (with K. Ando and D. Avis), Annals of Discrete Mathematics 20, 13-23 (1984), MR0791008 (86j:05115)

 

1983年

・The Regulation Number of a Graph, (with F. Harary), Publications de L’Institut Mathematique, Beograd Math. Soc. 34(48), 3-5 (1983), MR0770005 (86a:05109)

・A Graph and Its Complement with Specified Properties VI：Chromatic and Achromatic Numbers, (with F. Harary and P. Ostrand), Pacific Journal of Mathematics 104(1), 15-27 (1983), MR0683724 (84h:05101a)

・Regular Graphs Containing a Given Graph, (with H. Era and F. Harary), Elemente der Mathematik 38(1), 15-17 (1983), MR0696668 (84h:05072)

 

1982年

・Characterizations and Classifications of Biconnected Graphs, (with K. Ando and H. Mizuno), Annals of Discrete Mathematics 13, 1-14 (1982), MR0671898

・Path Factors of a Graph, (with M. Kano), Graphs and Applications (F. Harary and J.S. Maybee eds.), Wiley-Interscience, 1-21 (1982), MR0778395 (86d:05092)

・Factorization and Linear Arboricity of Graph, Doctoral Thesis. Tokyo University of Science (1982)

 

1981年

・A Short Proof of the Linear Arboricity for Cubic Graphs, (with V. Chvátal), Bull. Liber. Arts & Sci., NMS (Nippon Medical School) (2), 1-3 (1981) (with V. Chvátal)

・Balancing Signed Graphs, (with D. Avis, V. Chvátal and H. Era), Discrete Applied Mathematics 3, 227-233 (1981), MR0675687

・Equi-Eccentric Graphs with Equi-Eccentric Complements, (with K. Ando), TRU Mathematics 17(1), 113-115 (1981), MR0630288 (83a:05081)

・On the Connectivity of n-Trees, (with I. Sato), TRU Mathematics 17(1), 117-121 (1981), MR0630289 (83b:05052)

・Covering and Packing in Graphs IV: Linear Arboricity, (with G. Exoo and F. Harary), Networks 11 (1), 69-72 (1981), MR0608921 (82k:05085b)

・A Status on the Linear Arboricity, Graph Theory and Algorithms, Lecture Notes in Comput. Sci. Springer-Verlag 108, 38-44 (1981)

・A Graph and Its Complement with Specified Properties VII：A Survey, (with F. Harary), The Theory and Applications of Graphs, Wiley-Interscience 1-12 (1981), MR0634512

・Further Results on Graph Equations for Line Graphs and n-th Power Graphs, (with H. Era and G. Exoo), Discrete Mathematics 34(3), 209-218 (1981), MR0613401 (82f:05082)

・A Graph and Its Complement with Specified Properties. IV：Counting Self-Complementary Blocks, (with F. Harary), Journal of Graph Theory 5(1), 103-107 (1981), MR0604310 (82i:05062d)

・The Cohesiveness of a Point of a Graph, (with F. Boesch, H. Era, F Harary and R. Tindell), Networks 11, 65-68 (1981), MR0608920 (82f:05065)

 

1980年

・Another Proof of Euler’s Theorem for Digraphs, Bull. Liber. Arts & Sci., NMS (Nippon Medical School) (1), 19-21 (1980)

・Another Proof of Five Color Theorem, (with T. Hamada), Bull. Liber. Arts & Sci., NMS (Nippon Medical School) (1), 17-18 (1980)

・On a [1, 2]-Factor of a Graph, (with D. Avis and H. Era), TRU Mathematics 16(2), 97-102 (1980), MR0616992 (82f:05080)

・Covering and Packing in Graphs III: Cyclic and Acyclic Invariants, (with G. Exoo and F. Harary), Mathematica Slovaca 30 (4), 405-417 (1980), MR0595302 (82k:05085a)

・A Graph and Its Complement with Specified Properties V: The Self Complement Index, (with G. Exoo and F. Harary), Mathematika 27(1), 64-68 (1980), MR0581997 (82i:05062e)

 

1979年

・A Graph and Its Complement with Specified Properties II: Unary Operations, (with F. Harary), Nanta Mathematica 12 (2), 110-116 (1979), MR0566658 (82i:05062b)

・On a Structure of Graphs with W-Sets, (with H. Era), TRU Mathematics 15 (2), 43-46 (1979), MR0564367 (81e:05091)

・A Graph and Its Complement with Specified Properties III: Girth and Circumference, (with F. Harary), International Journal of Mathematics and Mathematical Sciences 2(4), 685-692 (1979), MR0549535 (82i: 05062c)

・The Graphs with All Induced Subgraphs Isomorphic, (with G. Exoo and F. Harary), Bull. Malaysian Math. Soc. (2) 2 (1), 43-44 (1979), MR0545802 (81b:05084)

・A Graph and Its Complement with Specified Properties I: Connectivity, (with F. Harary), International Journal of Mathematics and Mathematical Sciences 2 (2), 223-228 (1979), MR0539199 (82i:05062a)

・The Decompositions of Line Graphs, Middle Graphs and Total Graphs of Complete Graphs into Forests, (with T. Hamada), Discrete Mathematics 26 (3), 203-208 (1979), MR0535245 (80h:05020)

 

1978年

・Forbidden Subgraphs for Planar Total Graphs, Middle Graphs and Iterated Line Graphs, Journal of Combinatorics, Information and System Sciences, Indian Math. Soc.3(4), 255-260 (1978), MR0529343 (80h:05022)

・Graph Equations for Line Graphs and n-th Power Graphs I, (with K. Kaneko and S. Simic), Publications de L’Institut Mathematique, Beograd Math. Soc. 23(37), 5-8 (1978), MR0508120 (80c:05106)

 

1977年

・A Note on the Arboricity of the Complement of a Tree, (with T. Hamada), TRU Mathematics 13 (1), 55-57 (1977), MR0465911 (57#5797)

 

1976年

・A Solution of Graph Equation for Line Graphs, (with T. Hamada and I. Yoshimura), TRU Mathematics 12 (2), 35-43 (1976), MR0460182 (57#177b)

・Graph Equations for Line Graphs, Total Graphs and Middle Graphs, (with T. Hamada and I. Yoshimura), TRU Mathematics 12 (2), 31-34 (1976), MR0460181 (57#177a)

 

1975年

・On Characterizations of the Middle Graphs, (with T. Hamada and I. Yoshimura), TRU Mathematics 11, 35-39 (1975), MR0414436 (54#2538)

 

1974 年

・Miscellaneous Properties of Middle Graphs, (with T. Hamada and I. Yoshimura), TRU Mathematics 10, 41-53 (1974), MR0412028 (54#157)

 

1972年

・S-Wellposedness of Partial Differential Equations with Constant Coefficients, Master’s Thesis. Sophia University (1972)