kemsuСибСкриптSibScript2949-21222949-2092Kemerovo State Universitykemsu-3936Research ArticleСтатьиО СТРУКТУРЕ ГРУППЫ ПИКАРА ДЛЯ ЛЕСТНИЦЫ МЕБИУСА И ПРИЗМАТИЧЕСКОГО ГРАФАON THE STRUCTURE OF PICARD GROUP FOR MOEBIUS LADDER GRAPH AND
PRISM GRAPHЗиндиноваМадина АлександровнаZindinovaMadina Alexandrovnamadinaz@rambler.ruМедныхИлья АлександровичMednykhIlia Aleksandrovichilyamednykh@mail.ruНГУРоссияNovosibirsk State UniversityRussian FederationИнститут математики им. С. Л. Соболева СО РАНРоссияInstitute of Mathematics of the Siberian Branch of the Russian Academy of SciencesRussian Federation20112310201103-15057Copyright © Зиндинова М.А., Медных И.А., 20112011Зиндинова М.А., Медных И.А.Zindinova M.A., Mednykh I.A.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.sibscript.ru/jour/article/view/3936графгруппа Пикараабелева группаполиномы ЧебышеваGraphPicard groupAbelian groupChebyshev polynomialReferencesCori, R. On the sandpile group of a graph / R. Cori, D. Rossin // European J. Combin. - 2000. -Vol. 21, no. 4. - P. 447 - 459.Cori, R. On the sandpile group of a graph / R. Cori, D. Rossin // European J. Combin. - 2000. -Vol. 21, no. 4. - P. 447 - 459.Baker, M. Harmonic morphisms and hyperelliptic graphs / M. Baker, S. Norine // Int. Math. Res. Notes. -2009. - Vol.15. - P. 2914 - 2955.Baker, M. Harmonic morphisms and hyperelliptic graphs / M. Baker, S. Norine // Int. Math. Res. Notes. -2009. - Vol.15. - P. 2914 - 2955.Biggs, N. L. Chip-firing and the critical group of a graph / N. L. Biggs // J. Algebraic Combin. -1999. - Vol. 9, no. 1. - P. 25 - 45.Biggs, N. L. Chip-firing and the critical group of a graph / N. L. Biggs // J. Algebraic Combin. -1999. - Vol. 9, no. 1. - P. 25 - 45.Bacher, R. The lattice of integral flows and the lattice of integral cuts on a finite graph / R. Bacher, P. de la Harpe and T. Nagnibeda // Bulletin de la Societe' Mathematique de France. - 1997. - Vol. 125. - P. 167 - 198.Bacher, R. The lattice of integral flows and the lattice of integral cuts on a finite graph / R. Bacher, P. de la Harpe and T. Nagnibeda // Bulletin de la Societe' Mathematique de France. - 1997. - Vol. 125. - P. 167 - 198.Boesch, F. T. Spanning tree formulas and Chebyshev polynomials / F. T. Boesch, H. Prodinger // Graphs and Combinatorics. - 1986. - Vol. 2, №. 1. - P. 191 - 200.Boesch, F. T. Spanning tree formulas and Chebyshev polynomials / F. T. Boesch, H. Prodinger // Graphs and Combinatorics. - 1986. - Vol. 2, №. 1. - P. 191 - 200.Lorenzini, D. Smith normal form and laplacians / D. Lorenzini // Journal of Combinatorial Theory, Series B. - 2008. - Vol. 98, no. 6. - P. 1271 - 1300.Lorenzini, D. Smith normal form and laplacians / D. Lorenzini // Journal of Combinatorial Theory, Series B. - 2008. - Vol. 98, no. 6. - P. 1271 - 1300.Biggs, N. L. Algebraic potential theory on graphs / N. L. Biggs // Bulletin of the London Mathematical Society. - 1997. - Vol. 29, no. 6. - P. 641 -- 82.Biggs, N. L. Algebraic potential theory on graphs / N. L. Biggs // Bulletin of the London Mathematical Society. - 1997. - Vol. 29, no. 6. - P. 641 -- 82.Marcus, M. A Survey of Matrix Theory and Matrix Inequalities / M. Marcus, H. Minc. - New York: Dover Publications: Mineola, 1992. - 192 pp.Marcus, M. A Survey of Matrix Theory and Matrix Inequalities / M. Marcus, H. Minc. - New York: Dover Publications: Mineola, 1992. - 192 pp.
The authors declare that there are no conflicts of interest present.