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1. Full Text Composition limits and separating examples for some boolean function complexity measures
by Gilmer, Justin and Saks, Michael and Srinivasan, Srikanth
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
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2. Full Text List Supermodular Coloring with Shorter Lists
by Yokoi, Yu and Yokoi, Yu
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
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3. Full Text Monotonicity testing and shortest-path routing on the cube
by Briët, Jop and Chakraborty, Sourav and García-Soriano, David and Matsliah, Arie
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
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4. Full Text Areas of triangles and Beck’s theorem in planes over finite fields
by Iosevich, Alex and Iosevich, Alex and Rudnev, Misha and Rudnev, Misha and Zhai, Yujia and Zhai, Yujia
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
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5. Full Text On quasiinvariants of S_{n} of hook shape
by Tsuchida, Tadayoshi
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
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6. Full Text The Deletion-Insertion model applied to the genome rearrangement problem
by Brisbin, Abra and Riehl, Manda and Williams, Noah
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
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7. Full Text On the moment distance of Poisson processes
by Kapelko, Rafał
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
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8. Full Text Distributions of Runs Revisited
by Kong, Yong
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
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9. Full Text Intersecting semi-disks and the synergy of three quadratic forms
by Ionaşcu, Andrew D
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
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10. Full Text Combinatorial models of cross-country dual meets: what is a big victory?
by Riedel, Kurt S
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
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11. Full Text Construction of Finite Braces
by Rump, Wolfgang
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
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12. Full Text Veldkamp Spaces of Low-Dimensional Ternary Segre Varieties
by Boulmier, Jérôme and Holweck, Frédéric and Pinard, Maxime and Saniga, Metod
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
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13. Full Text Polynomial expressions of p-ary auction functions
by Kaji, Shizuo and Maeno, Toshiaki and Nuida, Koji and Numata, Yasuhide
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
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14. Full Text There Is No 16-Clue Sudoku: Solving the Sudoku Minimum Number of Clues Problem via Hitting Set Enumeration
by McGuire, Gary and Tugemann, Bastian and Civario, Gilles
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
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15. Full Text Asymptotic analysis of hoppe trees
by Leckey, Kevin and Neininger, Ralph
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
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16. Full Text Better s–t-tours by Gao trees
by Gottschalk, Corinna and Gottschalk, Corinna and Vygen, Jens and Vygen, Jens
Mathematical Programming, ISSN 0025-5610, 11/2018, Volume 172, Issue 1, pp. 191 - 207
We consider the s–t-path TSP: given a finite metric space with two elements s and t, we look for a path from s to t that contains all the elements and has... 
Convex combination | 68Q25 | Theoretical, Mathematical and Computational Physics | 68R05 | Mathematics | 90C59 | 90C27 | Approximation algorithm | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Spanning tree | Traveling salesman problem | T -join | Combinatorics | 05C05 | T-join | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | ALGORITHM | Management science | Algorithms | Metric space | Tours | Graph theory
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17. Full Text Checking inference-proofness of attribute-disjoint and duplicate-preserving fragmentations
by Biskup, Joachim and Preuß, Marcel
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
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18. Full Text Mobile versus Point Guards
by Győri, Ervin and Győri, Ervin and Mezei, Tamás Róbert and Mezei, Tamás Róbert
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
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19. Full Text A comparison of Carlet's second-order nonlinearity bounds
by Mesnager, Sihem and McGrew, Gavin and Davis, James and Steele, Dayton and Marsten, Katherine
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
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20. Full Text Reconstructing gene trees from Fitch’s xenology relation
by Geiß, Manuela and Anders, John and Stadler, Peter F and Wieseke, Nicolas and Hellmuth, Marc
Journal of Mathematical Biology, ISSN 0303-6812, 11/2018, Volume 77, Issue 5, pp. 1459 - 1491
Two genes are xenologs in the sense of Fitch if they are separated by at least one horizontal gene transfer event. Horizonal gene transfer is asymmetric in the... 
Rooted triples | Mathematical and Computational Biology | Phylogenetic tree | Di-cograph | 05C85 | 68R05 | Informative triple sets | Mathematics | Least-resolved tree | Recognition algorithm | Fitch xenology | Fixed parameter tractable | Applications of Mathematics | 68R10 | Heritable graph property | Forbidden induced subgraphs | 05C05 | Phylogenetics | Graph theory | Algorithms | Phylogeny | Gene transfer | Apexes
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