Results 1 to 10 of about 91 (90)
Generalized permutohedra, h-vectors of cotransversal matroids and pure O-sequences (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Stanley has conjectured that the h-vector of a matroid complex is a pure O-sequence. We will prove this for cotransversal matroids by using generalized permutohedra. We construct a bijection between lattice points inside a $r$-dimensional convex polytope
Suho Oh
doaj +1 more source
Bases of G-V Intuitionistic Fuzzy Matroids
Mathematics, 2020 The purpose of this paper is to study intuitionistic fuzzy bases (IFBs) and the intuitive structure of a G−VIFM. Firstly, the intuitionistic fuzzy basis (IFB) of a G−VIFM is defined; then the h-range and properties of an IFB are presented and a necessary
Yonghong Li +4 more
doaj +1 more source
Connections between Linear Complementary Dual Codes, Permanents and Geometry
Mathematics, 2023 Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures.
Adel N. Alahmadi +5 more
doaj +1 more source
On triangular matroids induced by n3-configurations
Open Mathematics, 2020 A triangular matroid is a rank-3 matroid whose ground set consists of the points of an n3{n}_{3}-configuration and whose bases are the point triples corresponding to non-triangles within the configuration.
Alazemi Abdullah, Raney Michael
doaj +1 more source
Phase Transition as an Emergent Phenomenon Analysed by Violation of Structural Invariant (M, BM)
Mendel, 2020 When modeling complex systems, we usually encounter the following difficulties: partiality, large amounts of data and uncertainty of conclusions. The most common approach used for modeling is the physical approach, sometimes reinforced by statistical ...
Jiri Bila, Ali H Reshak, Jan Chysky
doaj +1 more source
Modeling Complex Systems by Structural Invariants Approach
Complexity, 2021 When modeling complex systems, we usually encounter the following difficulties: partiality, large amount of data, and uncertainty of conclusions. It can be said that none of the known approaches solves these difficulties perfectly, especially in cases ...
Jiri Bila, Ali. H. Reshak, Jan Chysky
doaj +1 more source
GEOMETRIC BIJECTIONS FOR REGULAR MATROIDS, ZONOTOPES, AND EHRHART THEORY
Forum of Mathematics, Sigma, 2019 Let $M$ be a regular matroid. The Jacobian group $\text{Jac}(M)$ of $M$ is a finite abelian group whose cardinality is equal to the number of bases of $M$.
SPENCER BACKMAN +2 more
doaj +1 more source
Power graphs and exchange property for resolving sets
Open Mathematics, 2019 Classical applications of resolving sets and metric dimension can be observed in robot navigation, networking and pharmacy. In the present article, a formula for computing the metric dimension of a simple graph wihtout singleton twins is given.
Abbas Ghulam +4 more
doaj +1 more source
Detection of emergent situations in complex systems represented by algebras of transformations
MATEC Web of Conferences, 2016 In this paper we will investigate emergent situations in complex systems represented by algebras of transformations. Though algebras of transformations seem to be rather distanced from a modeled complex system we show that it is representation very ...
Bila Jiri, Novak Martin, Vrba Jan
doaj +1 more source
Capacity of Spaces of Properties Formulae, Approximations and Qualitative Shapes
Mendel, 2018 This article focuses on the exploration of spaces and models in which we describe the behavior of complex systems as special shapes. We understand these shapes both as a configuration of properties and their values, and on the other, as the formation of ...
Jiri Bila
doaj +1 more source