Abel, Zachary; Demaine, Erik D.; Demaine, Martin L.; Ku, Jason S.; Lynch, Jayson; Itoh, Jin-ichi; Nara, Chie Continuous flattening of all polyhedral manifolds using countably infinite creases. (English) Zbl 1472.52020 Comput. Geom. 98, Article ID 101773, 10 p. (2021). MSC: 52B70 51M15 PDFBibTeX XMLCite \textit{Z. Abel} et al., Comput. Geom. 98, Article ID 101773, 10 p. (2021; Zbl 1472.52020) Full Text: DOI arXiv
Itoh, Jin-ichi; Nara, Chie Continuous flattening of the 2-dimensional skeleton of a regular 24-cell. (English) Zbl 1467.52016 J. Geom. 112, No. 1, Paper No. 13, 16 p. (2021). MSC: 52B05 52C25 PDFBibTeX XMLCite \textit{J.-i. Itoh} and \textit{C. Nara}, J. Geom. 112, No. 1, Paper No. 13, 16 p. (2021; Zbl 1467.52016) Full Text: DOI
Matsubara, Kazuki; Nara, Chie Internal continuous flattening of polyhedra. (English) Zbl 1439.51023 Graphs Comb. 36, No. 2, 359-370 (2020). Reviewer: Lionel Pournin (Paris) MSC: 51M20 51M15 52B10 65D18 PDFBibTeX XMLCite \textit{K. Matsubara} and \textit{C. Nara}, Graphs Comb. 36, No. 2, 359--370 (2020; Zbl 1439.51023) Full Text: DOI
Itoh, Jin-ichi; Nara, Chie Continuous flattening of the 2-dimensional skeleton of the square faces in a hypercube. (English) Zbl 1436.51015 Graphs Comb. 36, No. 2, 331-338 (2020). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51M15 52C25 PDFBibTeX XMLCite \textit{J.-i. Itoh} and \textit{C. Nara}, Graphs Comb. 36, No. 2, 331--338 (2020; Zbl 1436.51015) Full Text: DOI
Itoh, Jin-ichi; Nara, Chie Continuous flattening of the 2-skeletons in regular simplexes and cross-polytopes. (English) Zbl 1430.51028 J. Geom. 110, No. 3, Paper No. 47, 12 p. (2019). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51M20 52B05 52B11 52C25 PDFBibTeX XMLCite \textit{J.-i. Itoh} and \textit{C. Nara}, J. Geom. 110, No. 3, Paper No. 47, 12 p. (2019; Zbl 1430.51028) Full Text: DOI
Nara, Chie; Itoh, Jin-ichi Continuous flattening of extended bipyramids with rigid radial edges. (English) Zbl 1443.52019 Lang, Robert J. (ed.) et al., Origami\(^7\). The proceedings from the 7th international meeting on origami in science, mathematics, and education, 7 OSME, Oxford, UK, September 4–7, 2018. Volume 2. Mathematics. St. Albans: Tarquin. 561-571 (2018). MSC: 52C25 PDFBibTeX XMLCite \textit{C. Nara} and \textit{J.-i. Itoh}, in: Origami$^7$. The proceedings from the 7th international meeting on origami in science, mathematics, and education, 7 OSME, Oxford, UK, September 4--7, 2018. Volume 2. Mathematics. St. Albans: Tarquin. 561--571 (2018; Zbl 1443.52019)
Horiyama, Takashi; Itoh, Jin-ichi; Katoh, Naoki; Kobayashi, Yuki; Nara, Chie Continuous folding of regular dodecahedra. (English) Zbl 1482.52017 Akiyama, Jin (ed.) et al., Discrete and computational geometry and graphs. 18th Japan conference, JCDCGG 2015, Kyoto, Japan, September 14–16, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9943, 120-131 (2016). MSC: 52B70 52B55 PDFBibTeX XMLCite \textit{T. Horiyama} et al., Lect. Notes Comput. Sci. 9943, 120--131 (2016; Zbl 1482.52017) Full Text: DOI
Demaine, Erik D.; Demaine, Martin L.; Itoh, Jin-ichi; Nara, Chie Continuous flattening of orthogonal polyhedra. (English) Zbl 1436.51020 Akiyama, Jin (ed.) et al., Discrete and computational geometry and graphs. 18th Japan conference, JCDCGG 2015, Kyoto, Japan, September 14–16, 2015. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9943, 85-93 (2016). MSC: 51M20 52B10 PDFBibTeX XMLCite \textit{E. D. Demaine} et al., Lect. Notes Comput. Sci. 9943, 85--93 (2016; Zbl 1436.51020) Full Text: DOI
Itoh, Jin-ichi; Nara, Chie Continuous flattening of truncated tetrahedra. (English) Zbl 1336.52013 J. Geom. 107, No. 1, 61-75 (2016). MSC: 52B10 PDFBibTeX XMLCite \textit{J.-i. Itoh} and \textit{C. Nara}, J. Geom. 107, No. 1, 61--75 (2016; Zbl 1336.52013) Full Text: DOI
Abel, Zachary; Demaine, Erik D.; Demaine, Martin L.; Itoh, Jin-ichi; Lubiw, Anna; Nara, Chie; O’Rourke, Joseph Continuously flattening polyhedra using straight skeletons. (English) Zbl 1395.68274 Proceedings of the 30th annual symposium on computational geometry, SoCG ’14, Kyoto, Japan, June 8–11, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2594-3). 396-405 (2014). MSC: 68U05 52B70 52C25 PDFBibTeX XMLCite \textit{Z. Abel} et al., in: Proceedings of the 30th annual symposium on computational geometry, SoCG '14, Kyoto, Japan, June 8--11, 2014. New York, NY: Association for Computing Machinery (ACM). 396--405 (2014; Zbl 1395.68274) Full Text: DOI Link
Itoh, Jin-ichi; Nara, Chie Transformability and reversibility of unfoldings of doubly-covered polyhedra. (English) Zbl 1456.52016 Akiyama, Jin (ed.) et al., Discrete and computational geometry and graphs. 16th Japanese conference, JCDCGG 2013, Tokyo, Japan, September 17–19, 2013. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 8845, 77-86 (2014). MSC: 52B10 52B45 52B05 PDFBibTeX XMLCite \textit{J.-i. Itoh} and \textit{C. Nara}, Lect. Notes Comput. Sci. 8845, 77--86 (2014; Zbl 1456.52016) Full Text: DOI
Nara, Chie Continuous flattening of some pyramids. (English) Zbl 1305.51017 Elem. Math. 69, No. 2, 45-56 (2014). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 51M20 51M15 PDFBibTeX XMLCite \textit{C. Nara}, Elem. Math. 69, No. 2, 45--56 (2014; Zbl 1305.51017) Full Text: DOI
Demaine, Erik D.; Demaine, Martin L.; Itoh, Jin-ichi; Lubiw, Anna; Nara, Chie; O’Rourke, Joseph Reprint of: Refold rigidity of convex polyhedra. (English) Zbl 1283.52028 Comput. Geom. 47, No. 3, Part B, 507-517 (2014). MSC: 52C25 PDFBibTeX XMLCite \textit{E. D. Demaine} et al., Comput. Geom. 47, No. 3, Part B, 507--517 (2014; Zbl 1283.52028) Full Text: DOI
Dolbilin, Nikolai; Itoh, Jin-ichi; Nara, Chie Affine classes of 3-dimensional parallelohedra and their parametrization. (English) Zbl 1407.52012 Akiyama, Jin (ed.) et al., Computational geometry and graphs. Thailand-Japan joint conference, TJJCCGG 2012, Bangkok, Thailand, December 6–8, 2012. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8296, 64-72 (2013). MSC: 52B10 PDFBibTeX XMLCite \textit{N. Dolbilin} et al., Lect. Notes Comput. Sci. 8296, 64--72 (2013; Zbl 1407.52012) Full Text: DOI
Kobayashi, Midori; McKay, Brendan D.; Mutoh, Nobuaki; Nakamura, Gisaku; Nara, Chie 3-Perfect hamiltonian decomposition of the complete graph. (English) Zbl 1277.05139 Australas. J. Comb. 56, 219-224 (2013). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C70 05C45 PDFBibTeX XMLCite \textit{M. Kobayashi} et al., Australas. J. Comb. 56, 219--224 (2013; Zbl 1277.05139)
Demaine, Erik D.; Demaine, Martin L.; Itoh, Jin-ichi; Lubiw, Anna; Nara, Chie; O’Rourke, Joseph Refold rigidity of convex polyhedra. (English) Zbl 1272.52040 Comput. Geom. 46, No. 8, 979-989 (2013). MSC: 52C25 52B10 PDFBibTeX XMLCite \textit{E. D. Demaine} et al., Comput. Geom. 46, No. 8, 979--989 (2013; Zbl 1272.52040) Full Text: DOI Link
Itoh, Jin-ichi; Nara, Chie; Vîlcu, Costin Continuous flattening of convex polyhedra. (English) Zbl 1349.51011 Márquez, Alberto (ed.) et al., Computational geometry. XIV Spanish meeting on computational geometry, EGC 2011, dedicated to Ferran Hurtado on the occasion of his 60th birthday, Alcalá de Henares, Spain, June 27–30, 2011. Revised selected papers. Berlin: Springer (ISBN 978-3-642-34190-8/pbk). Lecture Notes in Computer Science 7579, 85-97 (2012). MSC: 51M15 51M20 52B10 PDFBibTeX XMLCite \textit{J.-i. Itoh} et al., Lect. Notes Comput. Sci. 7579, 85--97 (2012; Zbl 1349.51011) Full Text: DOI
Itoh, Jin-ichi; Nara, Chie Unfoldings of doubly covered polyhedra and applications to space-fillers. (English) Zbl 1289.05042 Period. Math. Hung. 63, No. 1, 47-64 (2011). Reviewer: Egon Schulte (Boston) MSC: 05B45 51M20 52C22 PDFBibTeX XMLCite \textit{J.-i. Itoh} and \textit{C. Nara}, Period. Math. Hung. 63, No. 1, 47--64 (2011; Zbl 1289.05042) Full Text: DOI
Itoh, Jin-ichi; Nara, Chie Continuous flattening of Platonic polyhedra. (English) Zbl 1349.51010 Akiyama, Jin (ed.) et al., Computational geometry, graphs and applications. 9th international conference, CGGA 2010, Dalian, China, November 3–6, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-24982-2/pbk). Lecture Notes in Computer Science 7033, 108-121 (2011). MSC: 51M15 51M20 PDFBibTeX XMLCite \textit{J.-i. Itoh} and \textit{C. Nara}, Lect. Notes Comput. Sci. 7033, 108--121 (2011; Zbl 1349.51010) Full Text: DOI
Dolbilin, Nikolai; Itoh, Jin-ichi; Nara, Chie Affine equivalent classes of parallelohedra. (English) Zbl 1349.52013 Akiyama, Jin (ed.) et al., Computational geometry, graphs and applications. 9th international conference, CGGA 2010, Dalian, China, November 3–6, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-24982-2/pbk). Lecture Notes in Computer Science 7033, 55-60 (2011). MSC: 52B11 PDFBibTeX XMLCite \textit{N. Dolbilin} et al., Lect. Notes Comput. Sci. 7033, 55--60 (2011; Zbl 1349.52013) Full Text: DOI
Itoh, Jin-ichi; Nara, Chie Minimal surface area related to Kelvin’s conjecture. (English) Zbl 1209.52011 Kumamoto J. Math. 23, 49-61 (2010). MSC: 52C22 52B99 53A10 PDFBibTeX XMLCite \textit{J.-i. Itoh} and \textit{C. Nara}, Kumamoto J. Math. 23, 49--61 (2010; Zbl 1209.52011)
Itoh, Jin-Ichi; Nara, Chie Reflective space-filling polyhedra. (English) Zbl 1195.52002 Int. J. Pure Appl. Math. 58, No. 1, 87-98 (2010). Reviewer: Gerd Wegner (Dortmund) MSC: 52B10 52C22 PDFBibTeX XMLCite \textit{J.-I. Itoh} and \textit{C. Nara}, Int. J. Pure Appl. Math. 58, No. 1, 87--98 (2010; Zbl 1195.52002)
Akiyama, Jin; Fukuda, Hiroshi; Nara, Chie; Sakai, Toshinori; Urrutia, Jorge Universal measuring boxes with triangular bases. (English) Zbl 1160.52002 Am. Math. Mon. 115, No. 3, 195-201 (2008). Reviewer: Mikhail Ostrovskii (Queens) MSC: 52A15 52B10 52A38 PDFBibTeX XMLCite \textit{J. Akiyama} et al., Am. Math. Mon. 115, No. 3, 195--201 (2008; Zbl 1160.52002) Full Text: DOI
Akiyama, Jin; Nara, Chie Chromatic numbers of specified isohedral tilings. (English) Zbl 1162.51312 Ito, Hiro (ed.) et al., Computational geometry and graph theory. International conference, KyotoCGGT 2007, Kyoto, Japan, June 11–15, 2007. Revised selected papers. Berlin: Springer (ISBN 978-3-540-89549-7/pbk). Lecture Notes in Computer Science 4535, 14-24 (2008). MSC: 51M20 05C15 52C20 PDFBibTeX XMLCite \textit{J. Akiyama} and \textit{C. Nara}, Lect. Notes Comput. Sci. 4535, 14--24 (2008; Zbl 1162.51312) Full Text: DOI
Akiyama, J.; Nara, C. Developments of polyhedra using oblique coordinates. (English) Zbl 1127.52009 J. Indones. Math. Soc. 13, No. 1, 99-114 (2007). MSC: 52B10 PDFBibTeX XMLCite \textit{J. Akiyama} and \textit{C. Nara}, J. Indones. Math. Soc. 13, No. 1, 99--114 (2007; Zbl 1127.52009) Full Text: DOI
Sakai, T.; Nara, C.; Urrutia, J. Equal area polygons in convex bodies. (English) Zbl 1117.52010 Akiyama, Jin (ed.) et al., Combinatorial geometry and graph theory. Indonesia-Japan joint conference, IJCCGGT 2003, Bandung, Indonesia, September 13–16, 2003. Revised selected papers. Berlin: Springer (ISBN 3-540-24401-8/pbk). Lecture Notes in Computer Science 3330, 146-158 (2005). MSC: 52A38 PDFBibTeX XMLCite \textit{T. Sakai} et al., Lect. Notes Comput. Sci. 3330, 146--158 (2005; Zbl 1117.52010) Full Text: DOI
Kobayashi, Midori; Nakamura, Gisaku; Nara, Chie Uniform coverings of 2-paths with 5-paths in the complete graph. (English) Zbl 1073.05057 Discrete Math. 299, No. 1-3, 154-161 (2005). MSC: 05C70 05C38 05B40 PDFBibTeX XMLCite \textit{M. Kobayashi} et al., Discrete Math. 299, No. 1--3, 154--161 (2005; Zbl 1073.05057) Full Text: DOI
Nara, Chie; Sakai, Toshinori; Urrutia, Jorge Maximal number of edges in geometric graphs without convex polygons. (English) Zbl 1179.05077 Akiyama, Jin (ed.) et al., Discrete and computational geometry. Japanese conference, JCDCG 2002, Tokyo, Japan, December 6–9, 2002. Revised papers. Berlin: Springer (ISBN 3-540-20776-7/pbk). Lect. Notes Comput. Sci. 2866, 215-220 (2003). MSC: 05C62 52B55 PDFBibTeX XMLCite \textit{C. Nara} et al., Lect. Notes Comput. Sci. 2866, 215--220 (2003; Zbl 1179.05077) Full Text: DOI
Kobayashi, Midori; Nakamura, Gisaku; Nara, Chie Uniform coverings of 2-paths with 5-paths in \(K_{2n}\). (English) Zbl 1021.05080 Australas. J. Comb. 27, 247-252 (2003). Reviewer: Dieter Rautenbach (Aachen) MSC: 05C70 05C38 05B30 05C45 PDFBibTeX XMLCite \textit{M. Kobayashi} et al., Australas. J. Comb. 27, 247--252 (2003; Zbl 1021.05080)
Nara, Chiê; Tazawa, Shinsei Enumeration of unlabelled graphs with specified degree parities. (English) Zbl 0891.05039 Discrete Math. 183, No. 1-3, 255-264 (1998). Reviewer: E.M.Palmer (East Lansing) MSC: 05C30 PDFBibTeX XMLCite \textit{C. Nara} and \textit{S. Tazawa}, Discrete Math. 183, No. 1--3, 255--264 (1998; Zbl 0891.05039) Full Text: DOI
Tazawa, Shinsei; Nara, Chiê; Moon, John W. The number of 4-cycles in triangle-free oriented graphs. (English) Zbl 0833.05044 Discrete Math. 143, No. 1-3, 287-291 (1995). Reviewer: E.M.Palmer (East Lansing) MSC: 05C30 05C38 05C35 05C20 PDFBibTeX XMLCite \textit{S. Tazawa} et al., Discrete Math. 143, No. 1--3, 287--291 (1995; Zbl 0833.05044) Full Text: DOI
Nara, Chiê Uniqueness of the predual of the Bloch space and its strongly exposed points. (English) Zbl 0674.46016 Ill. J. Math. 34, No. 1, 98-107 (1990). Reviewer: C.Nara MSC: 46B25 46B20 46E15 46B10 46A55 PDFBibTeX XMLCite \textit{C. Nara}, Ill. J. Math. 34, No. 1, 98--107 (1990; Zbl 0674.46016)
Bollobás, Béla; Nara, Chiê; Tachibana, Shun-ichi The maximal number of induced complete bipartite graphs. (English) Zbl 0613.05028 Discrete Math. 62, 271-275 (1986). Reviewer: S.Stahl MSC: 05C35 PDFBibTeX XMLCite \textit{B. Bollobás} et al., Discrete Math. 62, 271--275 (1986; Zbl 0613.05028) Full Text: DOI
Ito, Takashi; Nara, Chiê Quasi-arithmetic means of continuous functions. (English) Zbl 0607.39006 J. Math. Soc. Japan 38, 697-720 (1986). Reviewer: J.Aczél MSC: 39B52 39B99 26A15 26A42 PDFBibTeX XMLCite \textit{T. Ito} and \textit{C. Nara}, J. Math. Soc. Japan 38, 697--720 (1986; Zbl 0607.39006) Full Text: DOI
Koshi, Shozo (ed.) [Koshi, Shozo; Tomiyama, Jun; Kubo, Fumio; Ando, Tsuyoshi; Nara, Chiê; Sawashima, Ikuko; Takeo, Fukiko; Miyajima, Shizuo; Okazawa, Noboru; Matano, Hiroshi; Nakazi, Takahiko; Sakai, Yūji; Takahashi, Yasuji; Hayashi, Mikihiro] Aspects of positivity in analysis. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, September 27-29, 1984. (Japanese) Zbl 0639.47028 RIMS Kokyuroku, 544. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. II, 186 p. (1985). MSC: 47B60 46A40 47A10 47-06 46B42 47D03 47B35 46G12 47A15 PDFBibTeX XML
Nara, Chie; Sato, Iwao Split graphs with specified Dilworth numbers. (English) Zbl 0496.05043 Can. Math. Bull. 27, 43-47 (1984). MSC: 05C75 05C70 PDFBibTeX XMLCite \textit{C. Nara} and \textit{I. Sato}, Can. Math. Bull. 27, 43--47 (1984; Zbl 0496.05043) Full Text: DOI
Nara, Chiê A recursive formula of the Ramsey number \(r(3,n)\). (English) Zbl 0599.05046 Nat. Sci. Rep. Ochanomizu Univ. 34, 59-62 (1983). Reviewer: J.Graver MSC: 05C55 PDFBibTeX XMLCite \textit{C. Nara}, Nat. Sci. Rep. Ochanomizu Univ. 34, 59--62 (1983; Zbl 0599.05046)
Nara, Chie; Tachibana, Shun-ichi A note on upper bounds for some Ramsey numbers. (English) Zbl 0511.05045 Discrete Math. 45, 323-326 (1983). MSC: 05C55 PDFBibTeX XMLCite \textit{C. Nara} and \textit{S.-i. Tachibana}, Discrete Math. 45, 323--326 (1983; Zbl 0511.05045) Full Text: DOI
Jung, H. A.; Nara, Chie Note on 2-connected graphs with \(d(u)+d(v)\geq -4\). (English) Zbl 0487.05046 Arch. Math. (to appear). MSC: 05C40 05C45 PDFBibTeX XML
Nara, Chie Split graphs with Dilworth number three. (English) Zbl 0516.05048 Nat. Sci. Rep. Ochanomizu Univ. 33, 37-44 (1982). MSC: 05C75 05C99 05C70 PDFBibTeX XMLCite \textit{C. Nara}, Nat. Sci. Rep. Ochanomizu Univ. 33, 37--44 (1982; Zbl 0516.05048)
Jung, H. A.; Nara, C. Note on 2-connected graphs with \(d(u)+d(v)\geq n-4\). (English) Zbl 0495.05042 Arch. Math. 39, 383-384 (1982). MSC: 05C40 05C45 PDFBibTeX XMLCite \textit{H. A. Jung} and \textit{C. Nara}, Arch. Math. 39, 383--384 (1982; Zbl 0495.05042) Full Text: DOI
Nara, Chie On sufficient conditions for a graph to be Hamiltonian. (English) Zbl 0468.05053 Nat. Sci. Rep. Ochanomizu Univ. 31, 75-80 (1980). MSC: 05C45 PDFBibTeX XMLCite \textit{C. Nara}, Nat. Sci. Rep. Ochanomizu Univ. 31, 75--80 (1980; Zbl 0468.05053)
Nara, C. Realizations of the Dedekind completion of C(X). (English) Zbl 0369.46024 Nederl. Akad. Wet., Proc., Ser. A 81, 91-96 (1978). MSC: 46E05 46E15 46A40 06B23 PDFBibTeX XMLCite \textit{C. Nara}, Nederl. Akad. Wet., Proc., Ser. A 81, 91--96 (1978; Zbl 0369.46024)
Nara, Chie On order completions of Banach lattices. (English) Zbl 0396.46017 Natur. Sci. Rep. Ochanomizu Univ. 27, 125-130 (1976). MSC: 46B42 46A40 PDFBibTeX XMLCite \textit{C. Nara}, Nat. Sci. Rep. Ochanomizu Univ. 27, 125--130 (1976; Zbl 0396.46017)