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Combinatorica, ISSN 0209-9683, 6/2016, Volume 36, Issue 3, pp. 265 - 311
Block sensitivity (bs(f)), certificate complexity (C(f)) and fractional certificate complexity (C*(f)) are three fundamental combinatorial measures of... 
Mathematics, general | Mathematics | Combinatorics | 68R05 | MATHEMATICS | PRAMS
Journal Article
Combinatorica, ISSN 0209-9683, 4/2019, Volume 39, Issue 2, pp. 459 - 475
In 1995, Galvin proved that a bipartite graph G admits a list edge coloring if every edge is assigned a color list of length Δ(G) the maximum degree of the... 
Mathematics, general | Mathematics | Combinatorics | 68R05 | 05C15 | MATHEMATICS
Journal Article
Combinatorica, ISSN 0209-9683, 1/2012, Volume 32, Issue 1, pp. 35 - 53
We study the problem of monotonicity testing over the hypercube. As previously observed in several works, a positive answer to a natural question about routing... 
Mathematics, general | Mathematics | Combinatorics | 68Q17 | 68R05 | MATHEMATICS
Journal Article
Combinatorica, ISSN 0209-9683, 4/2015, Volume 35, Issue 3, pp. 295 - 308
The first main result of this paper establishes that any sufficiently large subset of a plane over the finite field $$\mathbb{F}_q$$ , namely any set $$E... 
Mathematics, general | 11B75 | Mathematics | Combinatorics | 68R05
Journal Article
Osaka J. Math, 2010, Volume 47, Issue no. 2, pp. 461 - 485
O. Chalykh, A.P. Veselov and M. Feigin introduced the notion of quasiinvariants of Coxeter groups, which is a generalization of invariants. In [2], Bandlow and... 
05E10 | 68R05
Journal Article
Pure Mathematics and Applications, ISSN 1788-800X, 10/2019, Volume 28, Issue 1, pp. 1 - 13
Permutations are frequently used in solving the genome rearrangement problem, whose goal is finding the shortest sequence of mutations transforming one genome... 
genome rearrangement | 92D15 | transposition distance | 68R05 | 68W25 | 05A05 | permutation statistic
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 12/2018, Volume 47, Issue 24, pp. 6052 - 6063
Consider two identical and independent Poisson processes with arrival rate λ > 0 and respective arrival times X 1 , X 2 , ... and Y 1 , Y 2 , ... on a line. We... 
Gamma distribution | Moments | Primary 68R05 | Poisson process | Secondary 60K30 | STATISTICS & PROBABILITY | Poisson distribution | Gamma function
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 11/2015, Volume 44, Issue 22, pp. 4663 - 4678
Distributions of runs have important applications in many fields, including biological sequence analysis. The generating function (GF) method provides a... 
generating function | 05A15, 60C05, 68R05, 68R15 | runs statistics | Asymptotic distributions | 60C05 | 68R05 | URN MODEL | 68R15 | SEQUENCE | MARKOV-CHAIN APPROACH | STATISTICS & PROBABILITY | MULTISTATE TRIALS | 05A15 | Econometrics | Generalized method of moments | Covariance | Asymptotic properties | Mathematical models | Gaussian | Biological | Statistics | Variance | Constraining
Journal Article
Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 06/2019, Volume 27, Issue 2, pp. 5 - 14
In this paper, we study the Diophantine equation = + + + 2 with , , , and being natural numbers. This equation arises from a geometry problem and it leads to... 
Prime numbers | Secondary 05A15, 68R05, 51K05 | Primary 52C07 | Quadratic forms | Diophantine equation | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Journal of Quantitative Analysis in Sports, ISSN 2194-6388, 10/2019, Volume 15, Issue 4, pp. 345 - 356
Combinatorial/probabilistic models for cross-country dual-meets are proposed. The first model assumes that all runners are equally likely to finish in any... 
cross-country | Rank-sum scoring | 68R05 | 97K20 | 97M40 | 97K80 | nonparametric statistics | 05A15
Journal Article
Annals of Combinatorics, ISSN 0218-0006, 6/2019, Volume 23, Issue 2, pp. 391 - 416
Affine structures of a group G (=braces with adjoint group G) are characterized equationally without assuming further invertibility conditions. If G is finite,... 
08A05 | 20E22 | Brace | Metacommutation | 68R05 | 81R50 | Mathematics | 53B05 | 20F16 | Combinatorics | Sylow basis | Affine structure | MATHEMATICS, APPLIED | Algebra
Journal Article
Results in Mathematics, ISSN 1422-6383, 3/2019, Volume 74, Issue 1, pp. 1 - 30
Making use of the ‘Veldkamp blow-up’ recipe, introduced by Saniga et al. (Ann Inst H Poincaré D 2:309–333, 2015) for binary Segre varieties, we study geometric... 
Veldkamp spaces | 51A45 | 51E20 | finite polar spaces | 68R05 | Ternary Segre varieties | Mathematics, general | Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | Mathematics - Combinatorics
Journal Article
Journal of Mathematical Cryptology, ISSN 1862-2976, 06/2019, Volume 13, Issue 2, pp. 69 - 80
One of the common ways to design secure multi-party computation is twofold: to realize secure fundamental operations and to decompose a target function to be... 
Secure multi-party computation | finite fields | polynomial expression of functions | 94A60 | 68R05 | 12Y05 | Functions (mathematics) | Polynomials | Decomposition | Encryption
Journal Article
Experimental Mathematics, ISSN 1058-6458, 04/2014, Volume 23, Issue 2, pp. 190 - 217
The sudoku minimum number of clues problem is the following question: what is the smallest number of clues that a sudoku puzzle can have? For several years it... 
Primary 05A99 | critical sets | hitting set problem | minimum number of clues | Secondary 68R05 | sudoku | algorithm | MATHEMATICS
Journal Article
Journal of Applied Probability, ISSN 0021-9002, 03/2013, Volume 50, Issue 1, pp. 228 - 238
We introduce and analyze a random tree model associated to Hoppe's urn. The tree is built successively by adding nodes to the existing tree when starting with... 
Weak convergence | Combinatorial probability | Random tree | Hoppe urn | Martingale | combinatorial probability | 60C05 | 60G42 | 68R05 | martingale | weak convergence | random tree | 60F05
Journal Article
Journal Article
Annals of Mathematics and Artificial Intelligence, ISSN 1012-2443, 10/2019, Volume 87, Issue 1, pp. 43 - 82
The transmission of own and partly confidential data to another agent comes along with the risk of enabling the receiver to infer information he is not... 
68P15 | 68T37 | Artificial Intelligence | Complex Systems | 68R05 | Fragmentation | Attribute-disjointness | Duplicate-preservation | Confidentiality | Database dependency | Reasoning | Computer Science | Mathematics, general | 68Q60 | Computer Science, general
Journal Article
Discrete & Computational Geometry, ISSN 0179-5376, 3/2019, Volume 61, Issue 2, pp. 421 - 451
We study the problem of guarding orthogonal art galleries with horizontal mobile guards (alternatively, vertical) and point guards, using “rectangular vision”.... 
Computational Mathematics and Numerical Analysis | Sliding cameras | Art gallery problem | 68R05 | 52C15 | Mathematics | Orthogonal polygon | 68U05 | Combinatorics | Mobile guard | MATHEMATICS | GALLERIES | SET | ALGORITHM | COMPUTER SCIENCE, THEORY & METHODS | Guards | Art galleries | Art galleries & museums
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 03/2017, Volume 94, Issue 3, pp. 427 - 436
Carlet provides two bounds on the second-order nonlinearity of Boolean functions. We construct a family of Boolean functions where the first bound (the... 
06E30 | concatenation | functions | 68R05 | Nonlinearity | derivative | 94A60 | Boolean | MATHEMATICS, APPLIED | LOW-ORDER APPROXIMATION | BOOLEAN FUNCTIONS | CRYPTANALYSIS | Nonlinear programming | Boolean functions | Mathematical models
Journal Article
Journal of Mathematical Biology, ISSN 0303-6812, 11/2018, Volume 77, Issue 5, pp. 1459 - 1491
Journal Article
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