{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T21:41:50Z","timestamp":1725745310296},"publisher-location":"Cham","reference-count":31,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319022963"},{"type":"electronic","value":"9783319022970"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-319-02297-0_19","type":"book-chapter","created":{"date-parts":[[2013,8,14]],"date-time":"2013-08-14T07:37:38Z","timestamp":1376465858000},"page":"219-230","source":"Crossref","is-referenced-by-count":3,"title":["Enumeration of Schur Rings over the Group A 5"],"prefix":"10.1007","author":[{"given":"Mikhail","family":"Klin","sequence":"first","affiliation":[]},{"given":"Matan","family":"Ziv-Av","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"19_CR1","series-title":"Cambridge Studies in Advanced Mathematics","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511610882","volume-title":"Association schemes. Designed experiments, algebra and combinatorics","author":"R.A. Bailey","year":"2004","unstructured":"Bailey, R.A.: Association schemes. Designed experiments, algebra and combinatorics. Cambridge Studies in Advanced Mathematics, vol.\u00a084. Cambridge University Press, Cambridge (2004)"},{"key":"19_CR2","first-page":"143","volume":"8","author":"W.G. Bridges","year":"1979","unstructured":"Bridges, W.G., Mena, R.A.: Rational circulants with rational spectra and cyclic strongly regular graphs. Ars Combin.\u00a08, 143\u2013161 (1979)","journal-title":"Ars Combin."},{"key":"19_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-74341-2","volume-title":"Distance Regular Graphs","author":"A.E. Brouwer","year":"1989","unstructured":"Brouwer, A.E., Cohen, A.M., Neumaier, A.: Distance Regular Graphs. Springer, Berlin (1989)"},{"key":"19_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1112\/S1461157000000115","volume":"1","author":"J.H. Conway","year":"1998","unstructured":"Conway, J.H., Hulpke, A., McKay, J.: On transitive permutation groups. LMS J. Comput. Math.\u00a01, 1\u20138 (1998) (electronic)","journal-title":"LMS J. Comput. Math."},{"key":"19_CR5","first-page":"219","volume-title":"Proc. ISSAC 1991","author":"I.A. Farad\u017eev","year":"1991","unstructured":"Farad\u017eev, I.A., Klin, M.H.: Computer package for computations with coherent configurations. In: Proc. ISSAC 1991, pp. 219\u2013223. ACM Press, Bonn (1991)"},{"key":"19_CR6","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-94-017-1972-8_1","volume-title":"Investigations in Algebraic Theory of Combinatorial Objects","author":"I.A. Farad\u017eev","year":"1994","unstructured":"Farad\u017eev, I.A., Klin, M.H., Muzichuk, M.E.: Cellular rings and groups of automorphisms of graphs. In: Farad\u017eev, I.A., et al. (eds.) Investigations in Algebraic Theory of Combinatorial Objects, pp. 1\u2013152. Kluwer Acad. Publ., Dordrecht (1994)"},{"key":"19_CR7","unstructured":"http:\/\/www.gap-system.org"},{"issue":"2","key":"19_CR8","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1016\/0095-8956(92)90019-T","volume":"56","author":"C.D. Godsil","year":"1992","unstructured":"Godsil, C.D., Hensel, A.D.: Distance regular covers of the complete graph. J. Combin. Theory Ser. B\u00a056(2), 205\u2013238 (1992)","journal-title":"J. Combin. Theory Ser. B"},{"key":"19_CR9","unstructured":"http:\/\/math.shinshu-u.ac.jp\/~hanaki\/as\/"},{"issue":"2","key":"19_CR10","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1016\/j.jcta.2004.07.013","volume":"110","author":"Y. Hiramine","year":"2005","unstructured":"Hiramine, Y.: Relative difference sets in Alt(5). J. Combin. Theory Ser. A\u00a0110(2), 179\u2013191 (2005)","journal-title":"J. Combin. Theory Ser. A"},{"key":"19_CR11","doi-asserted-by":"crossref","first-page":"25","DOI":"10.26493\/1855-3974.251.044","volume":"6","author":"G.A. Jones","year":"2013","unstructured":"Jones, G.A., Ma\u010daj, M., \u0160ir\u00e1\u0148, J.: Nonorientable regular maps over linear fractional groups. Ars Math. Contemp.\u00a06, 25\u201335 (2013)","journal-title":"Ars Math. Contemp."},{"issue":"3-4","key":"19_CR12","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1080\/17486700802167728","volume":"9","author":"R. Kerner","year":"2008","unstructured":"Kerner, R.: Classification and evolutionary trends of icosahedral viral capsids. Comput. Math. Methods Med.\u00a09(3-4), 175\u2013181 (2008)","journal-title":"Comput. Math. Methods Med."},{"issue":"1","key":"19_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.37236\/2039","volume":"19","author":"M. Klin","year":"2012","unstructured":"Klin, M., Kov\u00e1cs, I.: Automorphism groups of rational circulant graphs. Electron. J. Combin.\u00a019(1), Paper 35, 1\u201352 (2012)","journal-title":"Electron. J. Combin."},{"key":"19_CR14","doi-asserted-by":"publisher","first-page":"1175","DOI":"10.1016\/j.jsc.2011.12.040","volume":"47","author":"M. Klin","year":"2012","unstructured":"Klin, M., Lauri, J., Ziv-Av, M.: Links between two semisymmetric graphs on 112 vertices via association schemes. J. Symbolic Comput.\u00a047, 1175\u20131191 (2012)","journal-title":"J. Symbolic Comput."},{"key":"19_CR15","series-title":"Einfuhrung in gruppentheoretisch-kombinatorische Methoden","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-322-84116-2","volume-title":"Angewandte Algebra f\u00fcr Mathematiker und Informatiker","author":"M. Klin","year":"1988","unstructured":"Klin, M., P\u00f6schel, R., Rosenbaum, K.: Angewandte Algebra f\u00fcr Mathematiker und Informatiker. Einfuhrung in gruppentheoretisch-kombinatorische Methoden. Friedr. Vieweg & Sohn, Braunschweig (1988)"},{"key":"19_CR16","doi-asserted-by":"crossref","first-page":"237","DOI":"10.26493\/1855-3974.119.60b","volume":"3","author":"M. Klin","year":"2010","unstructured":"Klin, M., Pech, C., Reichard, S., Woldar, A., Ziv-Av, M.: Examples of computer experimentation in algebraic combinatorics. Ars Math. Contemp.\u00a03, 237\u2013258 (2010)","journal-title":"Ars Math. Contemp."},{"key":"19_CR17","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1007\/BF01614076","volume":"1","author":"B. Kostant","year":"1995","unstructured":"Kostant, B.: Structure of the truncated icosahedron (e.g. Fullerene or C60, viral coatings) and a 60-element conjugacy class in PSL(2,11). Selecta Math (N.S.)\u00a01, 163\u2013195 (1995)","journal-title":"Selecta Math. (N.S.)"},{"key":"19_CR18","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1007\/BF02773471","volume":"106","author":"K.H. Leung","year":"1998","unstructured":"Leung, K.H., Man, S.H.: On Schur rings over cyclic groups. Israel J. Math.\u00a0106, 251\u2013267 (1998)","journal-title":"Israel J. Math."},{"key":"19_CR19","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1006\/jabr.1996.0220","volume":"183","author":"K.H. Leung","year":"1996","unstructured":"Leung, K.H., Man, S.H.: On Schur rings over cyclic groups II. J. Algebra\u00a0183, 273\u2013285 (1996)","journal-title":"J. Algebra"},{"key":"19_CR20","series-title":"Mathematical Sciences Research Institute Publications","volume-title":"The Eightfold Way. The Beauty of Klein\u2019s Quartic Curve","year":"1999","unstructured":"Levy, S. (ed.): The Eightfold Way. The Beauty of Klein\u2019s Quartic Curve. Mathematical Sciences Research Institute Publications, vol.\u00a035. Cambridge University Press, Cambridge (1999)"},{"key":"19_CR21","first-page":"123","volume-title":"Proc. Conference on Algebraic Aspects of Combinatorics","author":"R. Mathon","year":"1975","unstructured":"Mathon, R.: 3-class association schemes. In: Proc. Conference on Algebraic Aspects of Combinatorics, pp. 123\u2013155. Univ. Toronto, Toronto (1975)"},{"key":"19_CR22","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1016\/0095-8956(87)90067-0","volume":"42","author":"R. Mathon","year":"1987","unstructured":"Mathon, R.: Lower bounds for Ramsey numbers and association schemes. J. Combin. Theory Ser. B\u00a042, 122\u2013127 (1987)","journal-title":"J. Combin. Theory Ser. B"},{"key":"19_CR23","unstructured":"McKay, B.D.: Nauty User\u2019s Guide (Version 1.5). Technical Report TR-CS-90-02, Computer Science Department, Australian National University (1990)"},{"key":"19_CR24","unstructured":"Muzychuk, M.E.: Structure of primitive S-rings over group A 5. In: VIII All-Union Symposium on Group Theory, pp. 83\u201384. Kiev (1982)"},{"key":"19_CR25","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1112\/S0024611503014412","volume":"88","author":"M. Muzychuk","year":"2004","unstructured":"Muzychuk, M.: A solution of the isomorphism problem for circulant graphs. Proc. London Math.\u00a088, 1\u201341 (2004)","journal-title":"Proc. London Math."},{"key":"19_CR26","unstructured":"Muzychuk, M.: Private communication (December 2012)"},{"key":"19_CR27","doi-asserted-by":"publisher","first-page":"607","DOI":"10.1016\/j.jtbi.2008.10.019","volume":"256","author":"K. Peeters","year":"2009","unstructured":"Peeters, K., Taormina, A.: Group theory of icosahedral virus capsid vibrations: A top-down approach. J. Theoret. Biol.\u00a0256, 607\u2013624 (2009)","journal-title":"J. Theoret. Biol."},{"key":"19_CR28","series-title":"Lehrstuhl D f\u00fcr Mathematik","volume-title":"GAP - Groups, Algorithms, and Programming","author":"M. Sch\u00f6nert","year":"1995","unstructured":"Sch\u00f6nert, M., et al.: GAP - Groups, Algorithms, and Programming, 5th edn. Lehrstuhl D f\u00fcr Mathematik. Rheinisch-Westf\u00e4lische Technische Hochschule, Aachen (1995)","edition":"5"},{"key":"19_CR29","unstructured":"Schur, I.: Zur Theorie der einfach transitiven Permutationsgruppen. Sitzungsber. Preuss. Akad. Wiss., Phys.-Math. Kl., 598\u2013623 (1933)"},{"key":"19_CR30","doi-asserted-by":"crossref","unstructured":"Soicher, L.H.: GRAPE: a system for computing with graphs and groups. In: Finkelstein, L., Kantor, W.M. (eds.) Groups and Computation. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol.\u00a011, pp. 287\u2013291. A.M.S (1993)","DOI":"10.1090\/dimacs\/011\/20"},{"key":"19_CR31","volume-title":"Finite Permutation Groups","author":"H. Wielandt","year":"1964","unstructured":"Wielandt, H.: Finite Permutation Groups. Acad. Press, New York (1964)"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-02297-0_19","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,8,1]],"date-time":"2020-08-01T19:21:09Z","timestamp":1596309669000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-02297-0_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783319022963","9783319022970"],"references-count":31,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-02297-0_19","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}