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2010, 4th ed., ISBN 3642008550, viii, 274
As well as the original material, this revised and enlarged fourth edition has new chapters on treat classical results such as the "Fundamental Theorem of... 
Mathematics | Algebra | Geometry | Analysis | Mathematics, general | Number Theory | Combinatorics | Computer Science, general
Book
2012, London Mathematical Society lecture note series, ISBN 9780521617703, Volume 400, xiv, 271
"The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped... 
Sphere packings | Combinatorial packing and covering
Book
2002, Translations of mathematical monographs, ISBN 0821827650, Volume 214., vi, 256
Book
2018, 6th ed. 2018, ISBN 9783662572641, 1
This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden's permanent conjecture, as well as... 
Geometry | Graph Theory | Mathematics of Computing | Analysis | Mathematics | Number Theory | Combinatorics
eBook
2003, Dolciani mathematical expositions, ISBN 9780883853337, Volume no. 27, xiv, 194
Book
Journal of the ACM (JACM), ISSN 0004-5411, 01/2010, Volume 57, Issue 2, pp. 1 - 15
Journal Article
1998, ISBN 0306459671, 237
Set Theory. Combinatorics. Number Theory. Geometry. Appendices. Bibliography. Index. 
Geometry | Set theory | Combinatorial analysis | Number theory
eBook
2001, 2nd ed., ISBN 9783540678656, viii, 215
Book
Journal of the American Mathematical Society, ISSN 0894-0347, 07/2018, Volume 31, Issue 3, pp. 661 - 697
We present a proof of the compositional shuffle conjecture by Haglund, Morse and Zabrocki [Canad. J. Math., 64 (2012), 822-844], which generalizes the famous... 
MATHEMATICS | ELLIPTIC HALL ALGEBRA | COMBINATORIAL FORMULA | CHARACTER | HILBERT SCHEME | POINTS
Journal Article
2015, ISBN 9783319162492, 189
This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that... 
eBook
Discrete Mathematics, ISSN 0012-365X, 06/2019, Volume 342, Issue 6, pp. 1577 - 1580
In this paper we give combinatorial proofs of some well known identities and obtain some generalizations. We give a visual proof of a result of Chapman and... 
Determinants | Combinatorial proof | Newton–Girard identity | Digraphs | Newton-Girard identity | MATHEMATICS
Journal Article
Formal Aspects of Computing, ISSN 0934-5043, 11/2018, Volume 30, Issue 6, pp. 659 - 684
We address automated testing and interactive proving of properties involving complex data structures with constraints, like the ones studied in enumerative... 
Random testing | Bounded-exhaustive testing | Permutations | Logic programming | Combinatorial enumeration | Interactive theorem proving | Rooted maps | COMPUTER SCIENCE, SOFTWARE ENGINEERING | CODE | Properties (attributes) | Debugging | Data structures | Generators | Combinatorics | Combinatorial analysis
Journal Article
Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 08/2018, Volume 158, pp. 228 - 253
In a previous paper, we studied an overpartition analogue of Gaussian polynomials as the generating function for overpartitions fitting inside an m×n... 
Overpartitions | Delannoy numbers | Gaussian polynomial | Over-[formula omitted]-binomial coefficient | q-Binomial coefficient | Combinatorial proofs | Finite versions of q-series identities | q-log concavity | Over-(q,t)-binomial coefficient | IDENTITY | MATHEMATICS | NUMBERS | Over-(q, t)-binomial coefficient
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 09/2014, Volume 142, Issue 9, pp. 3007 - 3011
Journal Article
Journal of the American Chemical Society, ISSN 0002-7863, 08/2016, Volume 138, Issue 34, pp. 10916 - 10924
Dynamic covalent reactions are widely used in dynamic combinatorial chemistry. Most of these reactions are run under differing reaction conditions and exhibit... 
BORONIC ACID | COMBINATORIAL CHEMISTRY | MACROCYCLES | BONDS | INDICATOR-DISPLACEMENT ASSAYS | EXCHANGE | RECEPTORS | SUPRAMOLECULAR CHEMISTRY | CHEMISTRY, MULTIDISCIPLINARY | ALPHA-HYDROXYCARBOXYLATES | FUNCTIONAL-SYSTEMS | Thermodynamics | Nuclear magnetic resonance spectroscopy | Chemical reactions | Usage | Research
Journal Article
2008, MAA textbooks, ISBN 0883857537, xvi, 205
"Graph Theory presents a natural, reader-friendly way to learn some of the essential ideas of graph theory starting from first principles. The format is... 
Graph theory
Book
American Journal of Mathematics, ISSN 0002-9327, 2016, Volume 138, Issue 1, pp. 181 - 199
We give an algebraic geometric proof of the Theorem of Ax and Kochen on p-adic diophantine equations in many variables. Unlike Ax-Kochen's proof, ours does not... 
p-adic numbers | Ax, James | Kochen, Simon | Diophantine equations | Geometry, Algebraic | MATHEMATICS | CELL DECOMPOSITION | LOCAL-FIELDS | IGUSA | MONOMIALIZATION | QUESTION | Geometric probabilities | Theorems (Mathematics) | Research | Mathematical research | Probabilities | Combinatorial probabilities | Geometry | Theorems | Algebra
Journal Article
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