The references for Sage, sorted alphabetically by citation key.





M. Aagaard, R. AlTawy, G. Gong, K. Mandal, R. Rohit, N. Zidaric “WAGE: An Authenticated CipherSubmission to the NIST LWC Competition”


Julian R. Abel, On the Existence of Balanced Incomplete Block Designs and Transversal Designs, PhD Thesis, University of New South Wales, 1995


Willie Aboumrad, Quantum compution with anyons: an F-matrix and braid calculator (2022).


M. Aschenbrenner, C. Hillar, Finite generation of symmetric ideals. Trans. Amer. Math. Soc. 359 (2007), no. 11, 5171–5192.


M. Aschenbrenner, C. Hillar, An Algorithm for Finding Symmetric Groebner Bases in Infinite Dimensional Rings. arXiv 0801.4439.


R. Avanzi, S. Banik, A. Bogdanvo, O. Dunkelman, S. Huang, F. Regazzoni “Qameleonv. 1.0”


A. Abad, R. Barrio, F. Blesa, M. Rodriguez. “TIDES tutorial: Integrating ODEs by using the Taylor Series Method.”


A. Abad, R. Barrio, F. Blesa, M. Rodriguez. Algorithm 924. ACM Transactions on Mathematical Software, 39 no. 1 (2012), 1-28.


A. Abdomnicai, T. P. Berger, C. Clavier, J. Francq, P. Huynh, V. Lallemand, K. Le Gouguec, M. Minier, L. Reynaud, G. Thomas. “Lilliput-AE: a New Lightweight Tweakable BlockCipher for Authenticated Encryption with AssociatedData”


V. Arul, A. J. Best, E. Costa, R. Magner, and N. Triantafillou, Computing zeta functions of cyclic covers in large characteristic, The Open Book Series, vol. 2, no. 1, pp. 37–53, Jan. 2019.


R. Aharoni and E. Berger and R. Ziv. Independent systems of representatives in weighted graphs. Combinatorica vol 27, num 3, p253–267, 2007. doi:10.1007/s00493-007-2086-y.


R.J.R. Abel and Y.W. Cheng, Some new MOLS of order 2np for p a prime power, The Australasian Journal of Combinatorics, vol 10 (1994)


F. N. Abu-Khzam, R. L. Collins, M. R. Fellows, M. A. Langston, W. H. Suters, and C. T. Symons: Kernelization Algorithm for the Vertex Cover Problem: Theory and Experiments. SIAM ALENEX/ANALCO 2004: 62-69.


Lennart Ackermans, Oplosbaarheid van Kegelsneden.


L. Addario-Berry, M. Chudnovsky, F. Havet, B. Reed, P. Seymour, Bisimplicial vertices in even-hole-free graphs. Journal of Combinatorial Theory, Series B, vol 98, n.6, pp 1119-1164, 2008. doi:10.1016/j.jctb.2007.12.006.


N. Alon, I. Benjamini and Alan Stacey, Percolation on finite graphs and isoperimetric inequalities, The Annals of Probability 32 (2004), no. 3A, 1727-1745.


Federico Ardila, Mariel Supina, and Andrés R. Vindas-Meléndez, The Equivariant Ehrhart Theory of the Permutahedron, Proc. Amer. Math. Soc. Volume 148, Number 12, 2020, pp. 5091–5107.


V. Arlazarov, E. Dinic, M. Kronrod, and I. Faradzev. ‘On Economical Construction of the Transitive Closure of a Directed Graph.’ Dokl. Akad. Nauk. SSSR No. 194 (in Russian), English Translation in Soviet Math Dokl. No. 11, 1970.


M. R. Albrecht, B. Driessen, E. B. Kavun, G. Leander, C. Paar, and T. Yalcin, Block ciphers - focus on the linear layer (feat. PRIDE); in CRYPTO, (2014), pp. 57-76.


J.-C Aval, A. Boussicault, M. Bouvel, M. Silimbani, Combinatorics of non-ambiguous trees, arXiv 1305.3716


Arett, Danielle and Doree, Suzanne, Coloring and counting on the Hanoi graphs. Mathematics Magazine, Volume 83, Number 3, June 2010, pages 200-9. doi:10.4169/002557010X494841.


A. Apostolico, A. Ehrenfeucht, Efficient detection of quasiperiodicities in strings, Theoret. Comput. Sci. 119 (1993) 247–265.


George E. Andrews, F. G. Garvan, Dyson’s crank of a partition. Bull. Amer. Math. Soc. (N.S.) Volume 18, Number 2 (1988), 167-171.


Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz, and Thomas Rehn, Computing convex hulls and counting integer points with polymake, Math. Program. Comput. 9 (2017), no. 1, 1–38, doi:10.1007/s12532-016-0104-z


Marcelo Aguiar and Frank Sottile, Structure of the Malvenuto-Reutenauer Hopf algebra of permutations, Advances in Mathematics, Volume 191, Issue 2, 1 March 2005, pp. 225–275, arXiv math/0203282v2.


R. J. Aumann and S. Hart, Elsevier, eds. Computing equilibria for two-person games. (2002)


Karim Adiprasito, June Huh, and Eric Katz. Hodge theory for combinatorial geometries. arXiv 1511.02888.


Aubin Arroyo, Isabel Hubard, Klavdija Kutnar, Eugenia O’Reilly, and Primož Šparl. Classification of Symmetric Tabačjn Graphs. Graphs and Combinatorics 31:1137-1153, 2015. doi:10.1007/s00373-014-1447-8


J.-P. Aumasson, L. Henzen, W. Meier, and R. C-W Phan, Sha-3 proposal blake; in Submission to NIST, (2008).


A. Aho, J. Hopcroft, and J. Ullman. ‘Chapter 6: Matrix Multiplication and Related Operations.’ The Design and Analysis of Computer Algorithms. Addison-Wesley, 1974.


K. Aoki, T. Ichikawa, M. Kanda, M. Matsui, S. Moriai, J. Nakajima, and T. Tokita, Camellia: A 128-bit block cipher suitable for multiple platforms - Design and analysis; in SAC, (2000), pp. 39-56.


M. Ajtai. Generating hard instances of lattice problems (extended abstract). STOC, pp. 99–108, ACM, 1996.


S. Ariki and K. Koike. A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr\mathfrak{S}_n\) and construction of its irreducible representations. Adv. Math. 106 (1994), 216–243, MathSciNet MR1279219


Sang Yook An, Seog Young Kim, David C. Marshall, Susan H. Marshall, William G. McCallum, Alexander R. Perlis, Jacobians of Genus One Curves, Journal of Number Theory 90 (2002), pp.304–315,


A. Alvarado, A. Koutsianas, B. Malmskog, C. Rasmussen, C. Vincent, and M. West, A robust implementation for solving the S-unit equation and several applications. arXiv 1903.00977


S. Ariki, N. Jacon, and C. Lecouvey. The modular branching rule for affine Hecke algebras of type A. Adv. Math. 228:481-526, 2011.


J. Akiyama. and G. Exoo and F. Harary. Covering and packing in graphs. III: Cyclic and acyclic invariants. Mathematical Institute of the Slovak Academy of Sciences. Mathematica Slovaca vol 30, n 4, pages 405–417, 1980


A. A. Albert, A Structure Theory for Jordan Algebras. Annals of Mathematics, Second Series, Vol. 48, No. 3 (Jul., 1947), pp. 546–567.


A. O. L. Atkin and Wen-Ch’ing Winnie Li, Twists of newforms and pseudo-eigenvalues of \(W\)-operators. Inventiones Math. 48 (1978), 221-243.


M. Aguiar and A. Lauve, The characteristic polynomial of the Adams operators on graded connected Hopf algebras. Algebra Number Theory, v.9, 2015, n.3, 2015.


D. Aldous, The random walk construction of uniform spanning trees, SIAM J Discrete Math 3 (1990), 450-465. doi:10.1137/0403039.


E. Andreeva, V. Lallemand, A. Purnal, R. Reyhanitabar, A. Roy, D. Vizar “ForkAE v.1”

M. F. Atiyah and I. G. Macdonald, “Introduction to commutative

algebra”, Addison-Wesley, 1969.


R. Abraham and J. E. Marsden, “Foundations of Mechanics”, Addison-Wesley, 1980.


J. F. Adams and H. R. Margolis, “Sub-Hopf-algebras of the Steenrod algebra,” Proc. Cambridge Philos. Soc. 76 (1974), 45-52.


S. Ariki and A. Mathas. The number of simple modules of the Hecke algebras of type G(r,1,n). Math. Z. 233 (2000), no. 3, 601–623. MathSciNet MR1750939


A. L. Agore and G. Militaru. A new invariant for finite dimensional Leibniz/Lie algebras. Preprint, arXiv 2006.00711 (2020).


Asahiro, Y. and Miyano, E. and Ono, H. and Zenmyo, K., Graph orientation algorithms to minimize the maximum outdegree. Proceedings of the 12th Computing: The Australasian Theory Symposium, Volume 51, page 20. Australian Computer Society, Inc. 2006.


B. Anglès. 1997. On some characteristic polynomials attached to finite Drinfeld modules. manuscripta mathematica 93, 1 (01 Aug 1997), 369–379.


S. Arnborg, A. Proskurowski, Characterization and Recognition of Partial 3-Trees, SIAM Journal of Alg. and Discrete Methods, Vol. 7, pp. 305-314, 1986. doi:10.1137/0607033.


T. Apostol, Modular functions and Dirichlet series in number theory, Springer, 1997 (2nd ed), section 3.7–3.9.


George E. Andrews, Peter Paule, Axel Riese, MacMahon’s partition analysis: the Omega package, European J. Combin. 22 (2001), no. 7, 887–904.


D. Armstrong. Generalized noncrossing partitions and combinatorics of Coxeter groups. Mem. Amer. Math. Soc., 2006.


D. Armstrong and B. Rhoades. “The Shi arrangement and the Ish arrangement”. Transactions of the American Mathematical Society 364 (2012), 1509-1528. arXiv 1009.1655


S. Ariki. On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\). J. Math. Kyoto Univ. 36 (1996), no. 4, 789–808. MathSciNet MR1443748


S. Ariki. On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions. Osaka J. Math. 38 (2001), 827–837. MathSciNet MR1864465


P. Arnoux, Sturmian sequences, in Substitutions in Dynamics, N. Pytheas Fogg (Ed.), Arithmetics, and Combinatorics (Lecture Notes in Mathematics, Vol. 1794), 2002.


J. Assion: Einige endliche Faktorgruppen der Zopfgruppen, Math. Z., 163 (1978), 291-302.


Michael Artin, Fernando Rodriguez-Villegas, John Tate, On the Jacobians of plane cubics, Advances in Mathematics 198 (2005) 1, pp. 366–382 doi:10.1016/j.aim.2005.06.004


F. W. J. Olver: 9. Bessel Functions of Integer Order, in Abramowitz and Stegun: Handbook of Mathematical Functions.


H. A. Antosiewicz: 10. Bessel Functions of Fractional Order, in Abramowitz and Stegun: Handbook of Mathematical Functions.


M. Abramowitz: 12. Struve Functions and Related Functions, in Abramowitz and Stegun: Handbook of Mathematical Functions.


M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series, 55. 1964. See also


Sami Assaf. A combinatorial realization of Schur-Weyl duality via crystal graphs and dual equivalence graphs. FPSAC 2008, 141-152, Discrete Math. Theor. Comput. Sci. Proc., AJ, Assoc. Discrete Math. Theor. Comput. Sci., (2008). arXiv 0804.1587v1


Sami Assaf and Ezgi Kantarci Oguz. A local characterization of crystals for the quantum queer superalgebra. Preprint (2018). arXiv 1803.06317


Jean-Paul Allouche, Jeffrey Shallit, Automatic Sequences: Theory, Applications, Generalizations, Cambridge University Press, 2003.


Sami Assaf. Dual equivalence graphs and a combinatorial proof of LLT and Macdonald positivity. (2008). arXiv 1005.3759v5.


R.B.J.T Allenby and A. Slomson, “How to count”, CRC Press (2011)


A. O. L. Atkin and H. P. F. Swinnerton-Dyer, “Modular forms on noncongruence subgroups”, Proc. Symp. Pure Math., Combinatorics (T. S. Motzkin, ed.), vol. 19, AMS, Providence 1971


M. D. Atkinson. On computing the number of linear extensions of a tree. Order 7 (1990) 20-25.


M. D. Atkinson. Solomon’s descent algebra revisited. Bull. London Math. Soc. 24 (1992) 545-551.


A. Oliver L. Atkin. ‘Probabilistic primality testing’ (Chapter 30, Section 4) In Ph. Flajolet and P. Zimmermann, editors, Algorithms Seminar, 1991-1992. INRIA Research Report 1779, 1992, Summary by F. Morain.


C. A. Athanasiadis, Characteristic polynomials of subspace arrangements and finite fields. Advances in Mathematics, 122(2):193-233, 1996.


C. A. Athanasiadis, Deformations of Coxeter hyperplane arrangements and their characteristic polynomials. Adv. Stud. Pure Math., 27, 2000.


D. Avis, A revised implementation of the reverse search vertex enumeration algorithm. Polytopes-combinatorics and computation. Birkhauser Basel, 2000.


J.-C. Aval. Keys and alternating sign matrices. Sem. Lothar. Combin. 59 (2007/10), Art. B59f, 13 pp.


R. Avanzi, The QARMA block cipher family; in ToSC, (2017.1), pp. 4-44.


Adams, M.D. and Wise, D.S., Fast additions on masked integers, ACM SIGPLAN Notices, 2006, vol. 41, n.5, pages 39–45. doi:10.1145/1149982.1149987.


I. A. Aizenberg and A. P. Yuzhakov. Integral representations and residues in multidimensional complex analysis. Translations of Mathematical Monographs, 58. American Mathematical Society, Providence, RI. (1983). x+283 pp. ISBN: 0-8218-4511-X.


V. Anne, L.Q. Zamboni, I. Zorca, Palindromes and Pseudo- Palindromes in Episturmian and Pseudo-Palindromic Infinite Words, in : S. Brlek, C. Reutenauer (Eds.), Words 2005, Publications du LaCIM, Vol. 36 (2005) 91–100.



Christian Bär. The Faddeev-LeVerrier algorithm and the Pfaffian. arXiv 2008.04247, 2020.


Bakalov and Kirillov, Lectures on tensor categories and modular functors, AMS (2001).


Kaushik Basu. The Traveler’s Dilemma: Paradoxes of Rationality in Game Theory. The American Economic Review (1994): 391-395.


Margaret M. Bayer and Bernd Sturmfels. Lawrence polytopes. Canadian J. Math.42 (1990), 62–79.


E. Biham, R. J. Anderson, and L. R. Knudsen, Serpent: A new block cipher proposal; in FSE, (1998), pp. 222-238.


Barnette, “Diagrams and Schlegel diagrams”, in Combinatorial Structures and Their Applications, Proc. Calgary Internat. Conference 1969, New York, 1970, Gordon and Breach.


G. Bard. ‘Accelerating Cryptanalysis with the Method of Four Russians’. Cryptography E-Print Archive (, 2006.


V. V. Batyrev, On the classification of smooth projective toric varieties, Tohoku Math. J. 43 (1991), 569-585


Victor V. Batyrev, “Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties”, J. Algebraic Geom. 3 (1994), no. 3, 493-535. arXiv alg-geom/9310003v1


Ivan Bazhov, On orbits of the automorphism group on a complete toric variety. Beitr Algebra Geom (2013) 54: 471, arXiv 1110.4275, doi:10.1007/s13366-011-0084-0.


Mladen Bestvina and Noel Brady. Morse theory and finiteness properties of groups. Invent. Math. 129 (1997). No. 3, 445-470.


A. Björner, F. Brenti. Combinatorics of Coxeter groups. New York: Springer, 2005.


V. Batagelj and U. Brandes. Efficient generation of large random networks. Phys. Rev. E, 71, 036113, 2005. doi:10.1103/PhysRevE.71.036113.


Tomas J. Boothby and Robert W. Bradshaw. Bitslicing and the Method of Four Russians Over Larger Finite Fields. arXiv 0901.1413, 2009.


Gavin Brown, Jaroslaw Buczynski: Maps of toric varieties in Cox coordinates, arXiv 1004.4924


D. Bellizia, F. Berti, O. Bronchain, G. Cassiers, S. Duval, C. Guo, G. Leander, G. Leurent, I. Levi, C. Momin, O. Pereira, T. Peters, F. Standeart, F. Wiemer. “Spook: Sponge-Based Leakage-Resilient AuthenticatedEncryption with a Masked Tweakable Block Cipher”


T. Beyne, Y. L. Chen, C. Dobraunig, B. Mennink. Elephant v1 (2019)


Paolo Bellingeri, Hugo Chemin, and Victoria Lebed. Cactus groups, twin groups, and right-angled Artin groups. Preprint, arXiv 2209.08813 (2022).


Olivier Bernardi and Nicolas Bonichon, Intervals in Catalan lattices and realizers of triangulations, JCTA 116 (2009)


A. Blondin Massé, S. Brlek, A. Garon, and S. Labbé, Combinatorial properties of f -palindromes in the Thue-Morse sequence. Pure Math. Appl., 19(2-3):39–52, 2008.


Anne Berry, Jean R. S. Blair, Pinar Heggernes, Barry W. Peyton. Maximum Cardinality Search for Computing Minimal Triangulations of Graphs. Algorithmica 39(4):287-298, 2004. doi:10.1007/s00453-004-1084-3


S. Banik, A. Bogdanov, T. Isobe, K. Shibutani, H. Hiwatari, T. Akishita, and F. Regazzoni, Midori: A block cipher for low energy; in ASIACRYPT, (2015), pp. 411-436.


B. Bilgin, A. Bogdanov, M, Knezevic, F. Mendel, and Q. Wang, Fides: Lightweight authenticated cipher with side-channel resistance for constrained hardware; in CHES, (2013), pp. 142-158.


Babson, Björner, Linusson, Shareshian, and Welker, Complexes of not i-connected graphs, Topology 38 (1999), 271-299


N. Bonichon, M. Bousquet-Mélou, E. Fusy. Baxter permutations and plane bipolar orientations. Séminaire Lotharingien de combinatoire 61A, article B61Ah, 2008.


Z. Bao, A. Chakraborti, N. Datta, J. Guo, M. Nandi, T. Peyrin, K. Yasuda. “PHOTON-BeetleAuthenticated Encryption and Hash Family”


L. D. Baumert, M. Hall Jr. A new construction for Hadamard matrices. Bulletin of the American Mathematical Society 71(1):169-170, 1965.


A. Brouwer and W. Haemers, Spectra of graphs, Springer, 2012,


M. Bousquet-Melou, É. Fusy, L.-F. Préville-Ratelle, The number of intervals in the m-Tamari lattices. Electronic Journal of Combinatorics 18(2), 2011. doi:10.37236/2027


Banik, Pandey, Peyrin, Sasaki, Sim, and Todo, GIFT : A Small Present Towards Reaching the Limit of Lightweight Encryption. Cryptographic Hardware and Embedded Systems - CHES 2017, 2017.


J. Buchmann, A. Pychkine, R.-P. Weinmann Block Ciphers Sensitive to Groebner Basis Attacks in Topics in Cryptology – CT RSA’06; LNCS 3860; pp. 313–331; Springer Verlag 2006; pre-print available at


L. Blum, M. Blum, and M. Shub. Comparison of Two Pseudo-Random Number Generators. Advances in Cryptology: Proceedings of Crypto ‘82, pp.61–78, 1982.


L. Blum, M. Blum, and M. Shub. A Simple Unpredictable Pseudo-Random Number Generator. SIAM Journal on Computing, 15(2):364–383, 1986.


L. Bianco, P. Dell‘Olmo, S. Giordani An Optimal Algorithm to Find the Jump Number of Partially Ordered Sets Computational Optimization and Applications, 1997, Volume 8, Issue 2, pp 197–210, doi:10.1023/A:1008625405476


R. E. Bixby, W. H. Cunningham, Matroids, Graphs, and 3-Connectivity. In Graph theory and related topics (Proc. Conf., Univ. Waterloo, Waterloo, ON, 1977), 91-103


A. Biryukov and C. D. Canniere Block Ciphers and Systems of Quadratic Equations; in Proceedings of Fast Software Encryption 2003; LNCS 2887; pp. 274-289, Springer-Verlag 2003.


Mohamed Barakat and Michael Cuntz. “Coxeter and crystallographic arrangements are inductively free.” Adv. in Math. 229 Issue 1 (2012). pp. 691-709. doi:10.1016/j.aim.2011.09.011, arXiv 1011.4228.


Patrick Brosnan and Timothy Y. Chow. Unit interval orders and the dot action on the cohomology of regular semisimple Hessenberg varieties. Advances in Mathematics 329 (2018): 955-1001. doi:10.1016/j.aim.2018.02.020, arXiv 1511.00773v1.


Charles Bouillaguet, Hsieh-Chung Chen, Chen-Mou Cheng, Tung Chou, Ruben Niederhagen, Adi Shamir, and Bo-Yin Yang. Fast exhaustive search for polynomial systems in GF(2). In Stefan Mangard and François-Xavier Standaert, editors, CHES, volume 6225 of Lecture Notes in Computer Science, pages 203–218. Springer, 2010. pre-print available at


M. Borassi, D. Coudert, P. Crescenzi, and A. Marino. On Computing the Hyperbolicity of Real-World Graphs. Proceedings of the 23rd European Symposium on Algorithms (ESA 2015), doi:10.1007/978-3-662-48350-3_19.


Volker Braun, Philip Candelas, Xendia de la Ossa, Antonella Grassi, Toric Calabi-Yau Fourfolds, Duality Between N=1 Theories and Divisors that Contribute to the Superpotential, arXiv hep-th/0001208


J. Borghoff, A. Canteaut, T. Güneysu, E. B. Kavun, M. Knezevic, L. R. Knudsen, G. Leander, V. Nikov, C. Paar, C. Rechberger, P. Rombouts, S. S. Thomsen, and T. Yalcin, PRINCE - A low-latency block cipher for pervasive computing applications; in ASIACRYPT, (2012), pp. 208-225.


G. Brinkmann, G. Caporossi and P. Hansen, A Constructive Enumeration of Fusenes and Benzenoids, Journal of Algorithms, 45:155-166, 2002. doi:10.1016/S0196-6774(02)00215-8.


G. Benkart, L. Colmenarejo, P. E. Harris, R. Orellana, G. Panova, A. Schilling, M. Yip. A minimaj-preserving crystal on ordered multiset partitions. Advances in Applied Math. 95 (2018) 96-115, doi:10.1016/j.aam.2017.11.006. arXiv 1707.08709v2.


Gregory V. Bard, and Nicolas T. Courtois, and Chris Jefferson. Efficient Methods for Conversion and Solution of Sparse Systems of Low-Degree Multivariate Polynomials over GF(2) via SAT-Solvers. Cryptology ePrint Archive: Report 2007/024. available at


Michele Borassi, Pierluigi Crescenzi, and Andrea Marino, Fast and Simple Computation of Top-k Closeness Centralities. arXiv 1507.01490.


I. Z. Bouwer, W. W. Chernoff, B. Monson, and Z. Star. The Foster Census, Charles Babbage Research Centre, 1988.


Andries E. Brouwer, Arjeh M. Cohen, and Arnold Neumaier. Distance-Regular Graphs, Springer, 1989.


Besser, Amnon, and Rob de Jeu. “Li^(p)-Service? An Algorithm for Computing p-Adic Polylogarithms.” Mathematics of Computation (2008): 1105-1134.


Daniel J. Bernstein, Luca De Feo, Antonin Leroux, and Benjamin Smith: Faster computation of isogenies of large prime degree. ANTS XIV, Open Book Series Vol. 4, No. 1, 2020. arXiv 2003.10118


R. J. Bradford and J. H. Davenport, Effective tests for cyclotomic polynomials, Symbolic and Algebraic Computation (1989), pp. 244–251, doi:10.1007/3-540-51084-2_22


M. Becker and A. Desoky. A study of the DVD content scrambling system (CSS) algorithm; in Proceedings of ISSPIT, (2004), pp. 353-356.


Michael Brickenstein, Alexander Dreyer; PolyBoRi: A Groebner basis framework for Boolean polynomials; pre-print available at


Marthe Bonamy, Oscar Defrain, Marc Heinrich, Michał Pilipczuk, and Jean-Florent Raymond. Enumerating minimal dominating sets in \(K_t\)-free graphs and variants. arXiv 1810.00789


D. Best, D.Ž. Đoković, H. Kharaghani and H. Ramp. Turyn-Type Sequences: Classification, Enumeration, and Construction, Journal of Combinatorial Designs 21(1) (2013): 24-35. doi:10.1002/jcd.21318


S. Brlek, S. Dulucq, A. Ladouceur, L. Vuillon, Combinatorial properties of smooth infinite words, Theoret. Comput. Sci. 352 (2006) 306–317.


Thomas Brüstle, Grégoire Dupont, Matthieu Pérotin On Maximal Green Sequences arXiv 1205.2050


Marcus Bishop, J. Matthew Douglass, Götz Pfeiffer, Gerhard Röhrle, Computations for Coxeter arrangements and Solomon’s descent algebra: Groups of rank three and four; Journal of symbolic computation, volume 50, 03-2013, pp. 139-158.


K. A. Browning, J. F. Dillon, M. T. McQuistan, and A. J. Wolfe, An APN permutation in dimension six; in Finite Fields: Theory and Applications - FQ9, volume 518 of Contemporary Mathematics, pages 33–42. AMS, 2010.


Christopher Bowman, Maud De Visscher, Rosa Orellana. The partition algebra and the Kronecker coefficients. arXiv 1210.5579v6.


A. Brouwer and C. Van Eijl, On the p-Rank of the Adjacency Matrices of Strongly Regular Graphs, Journal of Algebraic Combinatorics (1992), vol.1, n.4, pp329-346, doi:10.1023/A%3A1022438616684.


Bernhard Beckermann. “A reliable method for computing M-Padé approximants on arbitrary staircases”. J. Comput. Appl. Math., 40(1):19-42, 1992. doi:10.1016/0377-0427(92)90039-Z.


Frits Beukers, Henri Cohen, Anton Mellit, Finite hypergeometric functions, arXiv 1505.02900


Robert A. Beezer, A First Course in Linear Algebra, Accessed 15 July 2010.


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Belarusian State University, Information technologies. Data protection. Cryptographic algorithms for encryption and integrity control; in STB 34.101.31-2011, (2011).


E.T. Bell, Partition Polynomials, Annals of Mathematics, Second Series, Vol. 29, No. 1/4 (1927 - 1928), pp. 38-46


I. Benjamini, Expanders are not hyperbolic, Israel Journal of Mathematics 108 (1998), 33-36.


I. Benjamini and O. Schramm, Every graph with a positive Cheeger constant contains a tree with a positive Cheeger constant, Geometric and Functional Analysis 7 (1997), no. 3, 403-419.


Benedetto, Robert L. Dynamics in one non-archimedean variable. Graduate Studies in Mathematics, Volume 198. 2019.


Fernando Rodriguez Villegas, The L-function of the quintic,


M. Berger, Geometry I, Springer (Berlin) (1987); doi:10.1007/978-3-540-93815-6


M. Berger, Geometry II, Springer (Berlin) (1987); doi:10.1007/978-3-540-93816-3


C. Berger, “Une version effective du théorème de Hurewicz”,


Jean Berstel. Sturmian and episturmian words (a survey of some recent results). In S. Bozapalidis and G. Rahonis, editors, CAI 2007,volume 4728 of Lecture Notes in Computer Science, pages 23-47. Springer-Verlag, 2007.


W. Bertram : Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings, Memoirs of the American Mathematical Society, vol. 192 (2008); doi:10.1090/memo/0900; arXiv math/0502168


Nantel Bergeron, Mike Zabrocki, The Hopf algebras of symmetric functions and quasisymmetric functions in non-commutative variables are free and cofree, J. of Algebra and its Applications (8)(2009), No 4, pp. 581–600, doi:10.1142/S0219498809003485, arXiv math/0509265v3.


F. Beukers and G. Heckman, Monodromy for the hypergeometric function \({}_n F_{n-1}\), Invent. Math. 95 (1989)


Thomas Britz, Sergey Fomin, Finite posets and Ferrers shapes, Advances in Mathematics 158, pp. 86-127 (2001), arXiv math/9912126 (the arXiv version has fewer errors).


Boucheron, S. and Fernandez de la Vega, W., On the Independence Number of Random Interval Graphs, Combinatorics, Probability and Computing v10, issue 05, Pages 385–396, Cambridge Univ Press, 2001. doi:10.1017/S0963548301004813.


R.L. Burden and J.D. Faires. Numerical Analysis. 8th edition, Thomson Brooks/Cole, 2005.


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