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16 [AI] G. Anderson, Y. Ihara, Pro-l branched cov erings of P1 and higher circular l-units, Part 1 Ann. of Math. 128 (1988), ; Part 2, Intern. J. Math. 1 (1990), [B] G. V. Belyi, On Galois extensions of a maxi mal cyclotomic field, Izv. Akad. Nauk. SSSR 8 (1979), (Russian) ; English transi. in Math. USSR Izv. 14 (1980), no. 2, [BK] S. Bloch, K. Kato, L-functions and Tamag awa numbers of motives, The Grothendieck Fests chrift, Volume I, Birkhauser, 1990, pp [Fl] G. Faltings, Endlichkeitssatze fur abelsche Varietaten uber Zahlkorpern, Invent. Math. 73 (1983), [F2], p-adic Hodge theory, J. of the Amer. Math. Soc. 1 (1988), [SGA1] A. Grothendieck, M. Raynaud, Revete ment Etales et Groupe Fondamental (SGA1), Lecture Note in Math., vol. 224, Springer, Berlin, Heidelberg, New York, [G1] A. Grothendieck, La longue marche a travers de la theorie de Galois, 1981, in prepara tion by J. Malgoire (first few chapters available since 1996). [G2],, Esquisse d'un Programme, 1984, in [6] vol.l, [G3], Letter to G. Faltings, June 1983, in [6] vol.l, [H] D. Harbater, Fundamental groups of curves in characteristic p, Proc. ICM, Zurich (1994), [11] Y. Ihara, Profinite braid groups, Galois representations, and complex multiplications, Ann. of Math. 123 (1986), [I2], Braids, Galois groups and some arithmetic functions, Proc. ICM, Kyoto (1990), [IN] Y. Ihara, H. Nakamura, Some illustrative examples for anabelian geometry in high dimen sions, in [6] vol.1,
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J. Comput. Chem. Jpn.,Vol.9, No.4, pp.177 182 (2010) 2010 Society of Computer Chemistry, Japan Microsoft Excel a*, b, c a, 790-8577 2-5 b, 350-0295 1-1 c, 305-8568 1-1-1 *e-mail: nagaoka@ehimegw.dpc.ehime-u.ac.jp
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NP 1 ( ) Ehrgott [3] 2 1 1 ( ) (Ehrgott [3] ) Ulungu & Teghem [8] Zitzler, Laumanns & Bleuler [11] Papadimitriou & Yannakakis [7] Zaroliagis [10] 2 1 1 1 Avis & Fukuda [1] 2 NP (Ehrgott [3] ) ( ) 3 NP