Results 11 to 20 of about 38 (37)

Transit sets of two-point crossover [PDF]

, 2021
Genetic Algorithms typically invoke crossover operators to produce offsprings that are a “mixture” of two parents x and y. On strings, k-point crossover breaks parental genotypes at at most k corresponding positions and concatenates alternating fragments
Stadler, P., Changat, M., Mohandas, S, Narasimha-Shenoi, P., Changat, M, Kovše, M, Narasimha-Shenoi, PG, Mohandas, S., Hossein Nezhad, F, Nezhad, F., Stadler, PF, Kovše, M., Ramachandran, A., Ramachandran, A   +13 more
core   +1 more source

On sign-invariance graphs of uniform oriented matroids [PDF]

, 1990
Two elements of an oriented matroid constitute an invariant pair if all signed circuits containing them have the same sign (resp. different signs). The invariance graph of an oriented matroid M(E) is the graph with vertex set E and where edges are the ...
Cordovil, Raul, Duchet, Pierre
core   +1 more source

Cyclic Polytopes and Oriented Matroids [PDF]

, 2000
Consider the moment curve in the real euclidean space Rddefined parametrically by the map γ: R→Rd,t∣→γ(t) = (t, t2,⋯ , td). The cyclic d -polytopeCd (t1,⋯ , tn) is the convex hull ofn&d different points on this curve.
Pierre Duchet, Raul Cordovil, Cordovil, Raul, Duchet, Pierre   +3 more
core   +1 more source

Complete Kneser Transversals

, 2017
International audienceLet $k,d,\lambda\geqslant1$ be integers with $d\geqslant\lambda $. Let $m(k,d,\lambda)$ be the maximum positive integer $n$ such that every set of $n$ points (not necessarily in general position) in $\mathbb{R}^{d}$ has the property
Martínez-Sandoval, Leonardo, Chappelon, Jonathan, Ramírez Alfonsín, Jorge Luis, Montejano, Luis, Montejano, Luis Pedro   +4 more
core   +1 more source

Minimality of hyperplane arrangements and configuration spaces: a combinatorial approach [PDF]

, 2010
The theory of Hyperplane Arrangements (more generally, Subspace Arrangements) is developing in the last (at least) three decades as an interesting part of Mathematics, which derives from and at the same time connects different classical branches.
MORI, FRANCESCA
core  

Extension Spaces of Oriented Matriods.

, 1991
We study the space of all extensions of a real hyperplane arrangement by a new pseudo- hyperplane, and, more generally, of an oriented matroid by a new element.
Sturmfels, Bernd, Ziegler, Günter M.
core   +1 more source

Cyclic polytopes and oriented matroids

, 1998
Consider the moment curve in the real Euclidean space R d defined parametrically by the map γ: R → R d, t ↦ → γ(t) =(t, t 2,...,t d). The cyclic d-polytope Cd(t1,...,tn) is the convex hull of the n, n> d, different points on this curve.
Pierre Duchet, Raul Cordovil
core  

Oriented matroid structures from realized root systems

Journal of Algebraic Combinatorics, 2020
Weijia Wang, Matthew Dyer
exaly  

Checking oriented matroid isomorphism by means of canonical labeling

Discrete Applied Mathematics, 2013
Ernesto Staffetti, Jürgen Bokowski
exaly  

Oriented Matroid Rigidity of Multiplices

Discrete and Computational Geometry, 2000
Bisztriczky T, K Böröczky
exaly