@article{14834,
  title = "Splitting fields of real irreducible representations of finite groups",
  author = "Dmitrii Pasechnik",
  year = "2021",
  journal = "Representation Theory",
  pages = "897-902",
  volume = "25",
  doi = "10.1090/ert/587",
}
@article{14835,
  title = "RepnDecomp: A GAP package for decomposing linear representations of finite groups",
  author = "Kaashif Hymabaccus and Dmitrii Pasechnik",
  year = "2020",
  journal = "Journal of Open Source Software",
  pages = "1835-1836",
  volume = "5.50",
  doi = "10.21105/joss.01835",
}
@article{2016arXiv160301710P,
  title = "Locally toroidal polytopes of rank 6 and sporadic groups",
  author = "Pasechnik, D. V.",
  year = "2017",
  journal = "Advances in Mathematics",
  keywords = "Mathematics - Group Theory, Mathematics - Combinatorics, 20D08, 20D06, 51E24, 51F15, 52B70",
  pages = "459–472",
  volume = "312",
  doi = "10.1016/j.aim.2017.03.029",
}
@article{2014arXiv1412.0514M,
  title = "{Edge-dominating cycles, $k$-walks and Hamilton prisms in $2K_2$-free graphs}",
  author = "{Mou}, G. and {Pasechnik}, D.",
  year = "2016",
  journal = "J. Knot Theory and its Ramifications",
  pages = "1--9",
  volume = "25",
  doi = "10.1142/S0218216516420116",
}
@article{2016arXiv160100181C,
  title = "Implementing {B}rouwer's database of strongly regular graphs",
  author = "{Cohen}, N. and {Pasechnik}, D.~V.",
  year = "2016",
  journal = "Designs, Codes, and Cryptography",
  keywords = "Mathematics - Combinatorics, Computer Science - Discrete Mathematics, 05E30, 68-04",
  note = "http://dx.doi.org/10.1007/s10623-016-0264-x",
  volume = "to appear",
}
@article{2016arXiv160208538G,
  title = "{Random Chain Complexes}",
  author = "{Ginzburg}, V.~L. and {Pasechnik}, D.~V.",
  year = "2016",
  journal = "Arnold Mathematical Journal",
  keywords = "Mathematics - Combinatorics, Mathematics - Symplectic Geometry, 05E99, 55U15, 53D99, 60D99",
  month = "feb",
  volume = "to appear",
}
@misc{2015arXiv151103473P,
  title = "{An efficient sum of squares nonnegativity certificate for quaternary quartic}",
  author = "{Pasechnik}, D.~V.",
  year = "2015",
  journal = "ArXiv e-prints",
  keywords = "Mathematics - Algebraic Geometry, Mathematics - Classical Analysis and ODEs, Mathematics - Optimization and Control",
  month = "nov",
}
@article{CHP13,
  title = "Sandpile groups of generalized de {B}ruijn and {K}autz graphs and circulant matrices over finite fields",
  author = "Chan Swee Hong and H. Hollmann and D.V. Pasechnik",
  year = "2015",
  journal = "Journal of Algebra",
  note = "arXiv.org e-print math 1405.0113",
  pages = "268–295",
  volume = "421",
  doi = "10.1016/j.jalgebra.2014.08.029",
}
@article{MOP13,
  title = "On the complexity of {H}ilbert refutations for partition",
  author = "Margulies, S. and Onn, S. and Pasechnik, D. V.",
  year = "2015",
  issn = "0747-7171",
  journal = "J. Symbolic Comput.",
  mrnumber = "3229920",
  pages = "70--83",
  volume = "66",
  doi = "10.1016/j.jsc.2013.06.005",
}
@misc{2014arXiv1409.3130G,
  title = "{The inverse moment problem for convex polytopes: implementation aspects}",
  author = "{Gravin}, N. and {Nguyen}, D. and {Pasechnik}, D. and {Robins}, S.",
  year = "2014",
  howpublished = "arXiv.org e-print math 1409.3130",
  journal = "ArXiv e-prints",
  keywords = "Mathematics - Numerical Analysis",
  month = "sep",
}
@article{PS12,
  title = "On polygonal measures with vanishing harmonic moments",
  author = "D.V. Pasechnik and B. Shapiro",
  year = "2014",
  journal = "Journal d'Analyse Math\'{e}matique",
  note = "arXiv.org e-print math 1209.4014",
  number = "1",
  pages = "281--301",
  volume = "123",
  doi = "10.1007/s11854-014-0021-x",
}
@article{DkPS12b,
  title = "Book drawings of complete bipartite graphs",
  author = "de Klerk, E. and Pasechnik, D. V. and Salazar, G.",
  year = "2014",
  journal = "Discrete Applied Mathematics",
  note = "arXiv.org e-print math 1210.2918",
  pages = "80--93",
  volume = "167",
  doi = "10.1016/j.dam.2013.11.001",
}
@article{DP13,
  title = "Automorphisms of necklaces and sandpile groups",
  author = "S. Duzhin and D.V. Pasechnik",
  year = "2014",
  journal = "Notes of Scientific Seminars of the St.Petersburg Department of the Steklov Mathematical Institute",
  note = "arXiv.org e-print 1304.2563",
  pages = "81--93",
  url = "ftp://ftp.pdmi.ras.ru/pub/publicat/znsl/v421/p081.pdf",
  volume = "421",
}
@article{coneauto,
  title = "Computing symmetry groups of polyhedra",
  author = "D. Bremner and M. Dutour Sikiri\'c and D.V. Pasechnik and T. Rehn and A. Sch\"urmann",
  year = "2014",
  journal = "LMS Journal of Computation and Mathematics",
  note = "arXiv.org e-print math 1210.0206",
  pages = "565-581",
  volume = "17",
}
@incollection{EPZ12,
  title = "Dynamic Weighted Voting Games",
  author = "E. Elkind and D.V. Pasechnik and Y. Zick",
  year = "2013",
  booktitle = "Proceedings of AAMAS 2013",
  pages = "515--522",
  publisher = "IFAAMAS",
  url = "http://www.ifaamas.org/Proceedings/aamas2013/docs/p515.pdf",
}
@incollection{EPW12,
  title = "Strategic Considerations in the Design of Committees",
  author = "E. Elkind and D.V. Pasechnik and M. Wooldridge",
  year = "2013",
  booktitle = "Proceedings of AAMAS 2013",
  pages = "439--446",
  publisher = "IFAAMAS",
  url = "http://www.ifaamas.org/Proceedings/aamas2013/docs/p439.pdf",
}
@article{DkPS12a,
  title = "Improved lower bounds for book crossing numbers of complete graphs",
  author = "de Klerk, E. and Pasechnik, D. V. and Salazar, G.",
  year = "2013",
  journal = "SIAM Journal on Discrete Mathematics",
  note = "arXiv.org e-print math 1207.5701",
  pages = "619--633",
  volume = "27",
  doi = "10.1137/120886777",
}
@incollection{sandpiles_eurocomb13,
  title = "Circulant matrices and sandpile groups of generalized de {B}ruijn graphs ",
  author = "Chan, Swee Hong and Hollmann, H. and Pasechnik, D. V.",
  year = "2013",
  booktitle = "Proceedings of EuroComb 2013",
  note = "arXiv.org e-print arXiv:1312.2114",
  series = "Publications of the Scuola Normale Superiore",
  volume = "16",
}
@article{EJLP10,
  title = "{CSS}-like Constructions of Asymmetric Quantum Codes",
  author = "M.F. Ezerman and Somphong Jitman and San Ling and D.V. Pasechnik",
  year = "2013",
  journal = "IEEE Transactions on Information Theory",
  note = "arXiv.org e-print cs 1207.6512",
  number = "10",
  pages = "6732--6754",
  volume = "59",
}
@misc{GPSS12,
  title = "On moments of a polytope",
  author = "N. Gravin and D.V. Pasechnik and B. Shapiro and M. Shapiro",
  year = "2012",
  howpublished = "arXiv.org e-print math 1210.3193, submitted to Adv. in Mathematics",
}
@incollection{Relass,
  title = "Relaxations of combinatorial problems via association schemes",
  author = "E.de Klerk and F.M. de Oliveira Filho and D. V. Pasechnik",
  year = "2012",
  booktitle = "Handbook on Semidefinite, Cone and Polynomial Optimization",
  editor = "M.F.Anjos and J.B.Lasserre",
  isbn = "978-1-4614-0768-3",
  note = "e-print nr. 2010-07-2690 at Optimization online",
  pages = "171-199",
  publisher = "Elsevier",
  series = "International Series in Operations Research and Management Science",
  volume = "166",
}
@article{deKDPS10,
  title = "On semidefinite programming relaxations of maximum {$k$}-section",
  author = "E. de Klerk and C. Dobre and D.V. Pasechnik and R. Sotirov",
  year = "2012",
  journal = "Mathematical Programming B",
  note = "e-print nr. 2010-07-2689 at Optimization online",
  number = "2",
  pages = "253-278",
  volume = "136",
}
@article{deKPa2pcr,
  title = "Improved lower bounds for the 2-page crossing numbers of {$K_{m,n}$} and {$K_n$} via semidefinite programming",
  author = "E. de Klerk and D.V. Pasechnik",
  year = "2012",
  journal = "SIAM Journal on Optimization",
  pages = "581--595",
  url = "http://arxiv.org/abs/1110.4824",
  volume = "22",
}
@article{BroPa11,
  title = "Two distance-regular graphs",
  author = "Brouwer, Andries E. and Pasechnik, Dmitrii V.",
  year = "2012",
  journal = "Journal of Algebraic Combinatorics",
  number = "3",
  pages = "403--407",
  volume = "36",
  doi = "10.1007/s10801-011-0341-1",
}
@article{deKDP09,
  title = "Numerical block diagonalization of matrix *-algebras with application to semidefinite programming",
  author = "E. de Klerk and C. Dobre and D. V. Pasechnik",
  year = "2011",
  journal = "Mathematical Programming B",
  note = "e-print 2009-02-2244 at Optimization online",
  number = "1",
  pages = "91-111",
  volume = "129",
  doi = "10.1007/s10107-011-0461-3",
}
@article{GLPS11,
  title = "The inverse moment problem for convex polytopes",
  author = "N. Gravin and J.B. Lasserre and D.V. Pasechnik and S. Robins",
  year = "2011",
  journal = "Discrete and Computational Geometry",
  number = "3",
  pages = "596--621",
  url = "http://arxiv.org/abs/1106.5723",
  volume = "48",
}
@misc{PaKK10,
  title = "{\sf Cohcfg}, a {GAP} package for coherent configurations (preliminary version)",
  author = "D.V. Pasechnik and K. Kini",
  year = "2010",
  howpublished = "software download",
  url = "http://www1.spms.ntu.edu.sg/~dima/software/cohcfg-a1.tgz",
}
@article{BPR07,
  title = "Bounding the {B}etti numbers and computing the {E}uler-{P}oincare characteristic of semi-algebraic sets defined by partly quadratic systems of polynomials",
  author = "S. Basu and D.V. Pasechnik and M.-F. Roy",
  year = "2010",
  journal = "Journal of European Mathematical Society",
  note = "arXiv.org preprint math.AG/0708.3522",
  pages = "529--553",
  volume = "12",
  doi = "10.4171/JEMS/208",
}
@article{IPSS09,
  title = "Majorana representations of the symmetric group of degree 4",
  author = "Alexander A. Ivanov and Dmitrii V. Pasechnik and Akos Seress and Sergey Shpectorov",
  year = "2010",
  journal = "Journal of Algebra",
  pages = "2432-2463",
  volume = "324",
}
@incollection{Cohcfg10,
  title = "A {GAP} package for computation with coherent configurations",
  author = "Dmitrii V. Pasechnik and Keshav Kini",
  year = "2010",
  address = "Berlin",
  booktitle = "Proceedings of ICMS 2010",
  pages = "69-72",
  publisher = "Springer-Verlag",
  series = "Lecture Notes in Computer Science",
  volume = "6327",
}
@incollection{CohcfgOWR,
  title = "A {GAP/Sage} package for computation with coherent configurations",
  author = "Dmitrii V. Pasechnik and Keshav Kini",
  year = "2010",
  booktitle = "Proceedings of Mini-Workshop	Exploiting Symmetry in Optimization",
  pages = "2251-2253",
  publisher = "European Math. Soc.",
  series = "Oberwolfach Reports",
  volume = "7",
}
@misc{deKPa09,
  title = "On Semidefinite Programming Relaxations of Association Schemes With Application to Combinatorial Optimization Problems",
  author = "E. de Klerk and D.V. Pasechnik",
  year = "2009",
  howpublished = "CentER Discussion Paper, 2009-54",
  url = "http://arno.uvt.nl/show.cgi?fid=95337",
}
@article{BdeKPS07,
  title = "Exploiting group symmetry in truss topology optimization",
  author = "Y.-Q. Bai and E. De Klerk and D.V. Pasechnik and R. Sotirov",
  year = "2009",
  journal = "Optimization and Engineering",
  note = "Preprint 2007-04-1639 at Optimization online",
  pages = "331--349",
  volume = "10",
}
@article{deKNPS06,
  title = " On the {L}ov\'{a}sz theta-number of almost regular graphs with application to {E}rd\"{o}s-{R}\'{e}nyi graphs",
  author = "E. De Klerk and M.W. Newman and D.V. Pasechnik and R. Sotirov",
  year = "2009",
  issn = "0195-6698",
  journal = "European Journal of Combinatorics",
  note = "Preprint 2006-09-1476 at Optimization Online",
  pages = "879--888",
  volume = "30",
  doi = "10.1016/j.ejc.2008.07.022",
}
@incollection{ElPaNucOrac08,
  title = "Computing the nucleolus of weighted voting games",
  author = "E. Elkind and D.V. Pasechnik",
  year = "2009",
  address = "New York",
  booktitle = "Proceedings of ACM-SIAM Symposium on Discrete Algorithms (SODA'09)",
  editor = "Claire Mathieu",
  pages = "327--335",
  publisher = "SIAM",
}
@article{BPR08,
  title = "Computing the {B}etti numbers of semi-algebraic sets defined by partly quadratic systems of polynomials",
  author = "S. Basu and D.V. Pasechnik and M.-F. Roy",
  year = "2009",
  journal = "Journal of Algebra",
  note = "arXiv.org preprint math.GT/0806.3911",
  pages = "2206--2229",
  volume = "321",
  doi = "10.1016/j.jalgebra.2008.09.043",
}
@incollection{CoS09,
  title = "The Cost of Stability and Its Application to Weighted Voting Games",
  author = "Yoram Bachrach and Edith Elkind and Reshef Meir and Dmitrii Pasechnik and Michael Zuckerman and Joerg Rothe and Jeffrey Rosenschein",
  year = "2009",
  address = "Berlin",
  booktitle = "Algorithmic Game Theory, 2nd International Symposium, SAGT 2009",
  editor = "Mavronicolas, Marios; Papadoupoulou, Maria",
  pages = "122-134",
  publisher = "Springer",
  series = "Lecture Notes in Comput. Sci.",
  volume = "5814",
  doi = "10.1007/978-3-642-04645-2",
}
@article{deKPS08,
  title = "On semidefinite programming relaxations of the traveling salesman problem",
  author = "E. De Klerk and D.V. Pasechnik and R. Sotirov",
  year = "2008",
  journal = "SIAM Journal on Optimization",
  note = "Preprint 2007-12-1858 at Optimization online",
  pages = "1559--1573",
  volume = "19",
}
@article{FKP,
  title = "On the irreducibility of a truncated binomial expansion",
  author = "Filaseta, M. and Kumchev, A. and Pasechnik, D. V.",
  year = "2007",
  journal = "Rocky Mountains J. Math.",
  note = "e-print math.NT/0409523 at arXiv.org",
  pages = "455-464",
  volume = "37",
}
@article{DkPSch,
  title = "Reduction of symmetric semidefinite programs using the regular *-representation",
  author = "de Klerk, Etienne and Pasechnik, Dmitrii V. and Schrijver, Alexander",
  year = "2007",
  journal = "Mathematical Programming B",
  note = "e-print 2005-03-1083, Optimization Online",
  pages = "613--624",
  volume = "109",
}
@article{DkPlpsqo,
  title = "A linear programming reformulation of the standard quadratic optimization problem",
  author = "de Klerk, E. and Pasechnik, D. V",
  year = "2007",
  journal = "Journal of Global Optimization",
  pages = "75--84",
  volume = "37",
  doi = "10.1007/s10898-006-9037-9",
}
@article{DkPOmega,
  title = "A note on the stability number of an orthogonality graph",
  author = "de Klerk, E. and Pasechnik, D. V",
  year = "2007",
  issn = "0195-6698",
  journal = "European Journal of Combinatorics",
  note = "arxiv.org e-print math.CO/0505038",
  pages = "1971--1979",
  volume = "28",
  doi = "10.1016/j.ejc.2006.08.011",
}
@article{DGP03,
  title = "The isometries of the cut, metric and hypermetric cones",
  author = "Deza, A. and Goldengorin, B. and Pasechnik, D. V.",
  year = "2006",
  journal = "Journal of Algebraic Combinatorics",
  note = "e-print math.MG/0306049 at arXiv.org",
  pages = "197--203",
  volume = "23",
}
@article{BuPa,
  title = "On {NP}-hardness of the clique partition -- {I}ndependence number gap recognition and related problems",
  author = "Busygin, S. and Pasechnik, D. V.",
  year = "2006",
  journal = "Discrete Mathematics",
  pages = "460-463",
  volume = "306",
}
@article{DkMPRS,
  title = "Improved bounds for the crossing numbers of ${K}_{m,n}$ and ${K}_n$",
  author = "de Klerk, E. and Pasechnik, D. V. and Maharry, J. and Richter, B. and Salazar, G.",
  year = "2006",
  journal = "SIAM Journal on Discrete Mathematics",
  pages = "189--202",
  volume = "20",
}
@article{GP05,
  title = "Polynomial-time computing over quadratic maps {I}. Sampling in real algebraic sets",
  author = "Grigoriev, D. and Pasechnik, D. V.",
  year = "2005",
  journal = "Computational Complexity",
  note = "e-print cs.SC/0403008 at arXiv.org",
  pages = "20--52",
  volume = "14",
}
@article{MR2064755,
  title = "Minimal representations of locally projective amalgams",
  author = "Ivanov, A. A. and Pasechnik, D. V.",
  year = "2004",
  issn = "0024-6107",
  journal = "J. London Math. Soc. (2)",
  mrnumber = "MR2064755",
  number = "1",
  pages = "142--164",
  volume = "70",
}
@article{MR2064275,
  title = "Products of positive forms, linear matrix inequalities, and {H}ilbert 17th problem for ternary forms",
  author = "de Klerk, Etienne and Pasechnik, Dmitrii V.",
  year = "2004",
  issn = "0377-2217",
  journal = "European J. Oper. Res.",
  mrnumber = "MR2064275 (2005f:90081)",
  number = "1",
  pages = "39--45",
  volume = "157",
}
@article{MR2092261,
  title = "On approximate graph colouring and {MAX}-{$k$}-{CUT} algorithms based on the {$\vartheta$}-function",
  author = "de Klerk, E. and Pasechnik, D. V. and Warners, J. P.",
  year = "2004",
  issn = "1382-6905",
  journal = "J. Comb. Optim.",
  mrnumber = "MR2092261",
  number = "3",
  pages = "267--294",
  volume = "8",
}
@article{MR1972024,
  title = "{$c$}-extensions of the {$F\sb 4(2)$}-building",
  author = "Ivanov, A. A. and Pasechnik, D. V.",
  year = "2003",
  issn = "0012-365X",
  journal = "Discrete Math.",
  mrnumber = "MR1972024 (2004h:51015)",
  note = "The 2000 $\rm Com\sp 2MaC$ Conference on Association Schemes, Codes and Designs (Pohang)",
  number = "1-3",
  pages = "91--110",
  volume = "264",
}
@article{MR1922500,
  title = "Approximation of the stability number of a graph via copositive programming",
  author = "de Klerk, E. and Pasechnik, D. V.",
  year = "2002",
  issn = "1095-7189",
  journal = "SIAM J. Optim.",
  mrnumber = "MR1922500 (2003g:90053)",
  number = "4",
  pages = "875--892 (electronic)",
  volume = "12",
}
@article{MR1986085,
  title = "Complexity of semialgebraic proofs",
  author = "Grigoriev, Dima and Hirsch, Edward A. and Pasechnik, Dmitrii V.",
  year = "2002",
  issn = "1609-3321",
  journal = "Mosc. Math. J.",
  mrnumber = "MR1986085 (2004e:03094)",
  note = "Dedicated to Yuri I. Manin on the occasion of his 65th birthday",
  number = "4",
  pages = "647--679, 805",
  volume = "2",
}
@incollection{MR2050856,
  title = "Complexity of semi-algebraic proofs",
  author = "Grigoriev, Dima and Hirsch, Edward A. and Pasechnik, Dmitrii V.",
  year = "2002",
  address = "Berlin",
  booktitle = "STACS 2002",
  mrnumber = "MR2050856 (2004m:03204)",
  pages = "419--430",
  publisher = "Springer",
  series = "Lecture Notes in Comput. Sci.",
  volume = "2285",
}
@incollection{MR2062463,
  title = "Exponential lower bound for static semi-algebraic proofs",
  author = "Grigoriev, Dima and Hirsch, Edward A. and Pasechnik, Dmitrii",
  year = "2002",
  address = "Berlin",
  booktitle = "Automata, languages and programming",
  mrnumber = "MR2062463",
  pages = "257--268",
  publisher = "Springer",
  series = "Lecture Notes in Comput. Sci.",
  volume = "2380",
}
@article{MR1827737,
  title = "Extended {$F\sb 4$}-buildings and the {B}aby {M}onster",
  author = "Ivanov, A. A. and Pasechnik, D. V. and Shpectorov, S. V.",
  year = "2001",
  issn = "0020-9910",
  journal = "Invent. Math.",
  mrnumber = "MR1827737 (2002c:20026)",
  number = "2",
  pages = "399--433",
  volume = "144",
}
@article{MR1846914,
  title = "On the number of inductively minimal geometries",
  author = "Cara, Philippe and Lehman, Serge and Pasechnik, Dimitrii V.",
  year = "2001",
  issn = "0304-3975",
  journal = "Theoret. Comput. Sci.",
  mrnumber = "MR1846914 (2002e:05010)",
  note = "Combinatorics and computer science (Palaiseau, 1997)",
  number = "1-2",
  pages = "31--35",
  volume = "263",
}
@article{MR1846915,
  title = "On computing {H}ilbert bases via the {E}lliot-{M}ac{M}ahon algorithm",
  author = "Pasechnik, Dmitrii V.",
  year = "2001",
  issn = "0304-3975",
  journal = "Theoret. Comput. Sci.",
  mrnumber = "MR1846915 (2002f:68196)",
  note = "Combinatorics and computer science (Palaiseau, 1997)",
  number = "1-2",
  pages = "37--46",
  volume = "263",
}
@article{MR1901120,
  title = "On equicut graphs",
  author = "Deza, Michel and Pasechnik, Dmitrii V.",
  year = "2001",
  issn = "1023-6627",
  journal = "Mult.-Valued Log.",
  mrnumber = "MR1901120 (2003e:05042)",
  note = "Ivo G. Rosenberg's 65th birthday, Part 2",
  number = "5-6",
  pages = "363--377",
  volume = "7",
}
@incollection{MR2043643,
  title = "On the skeleton of the metric polytope",
  author = "Deza, Antoine and Fukuda, Komei and Pasechnik, Dmitrii and Sato, Masanori",
  year = "2001",
  address = "Berlin",
  booktitle = "Discrete and computational geometry (Tokyo, 2000)",
  mrnumber = "MR2043643 (2004m:90121)",
  pages = "125--136",
  publisher = "Springer",
  series = "Lecture Notes in Comput. Sci.",
  volume = "2098",
}
@article{MR1724426,
  title = "A characterization of the {P}etersen-type geometry of the {M}c{L}aughlin group",
  author = "Baumeister, B. and Ivanov, A. A. and Pasechnik, D. V.",
  year = "2000",
  issn = "0305-0041",
  journal = "Math. Proc. Cambridge Philos. Soc.",
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