Results 51 to 60 of about 2,902,153 (358)

On sets with rank one in simple homogeneous structures [PDF]

open access: yes, 2014
We study definable sets $D$ of SU-rank 1 in $M^{eq}$, where $M$ is a countable homogeneous and simple structure in a language with finite relational vocabulary. Each such $D$ can be seen as a `canonically embedded structure', which inherits all relations
Ahlman, Ove, Koponen, Vera
core   +1 more source

On binary relations without non-identical endomorphisms

open access: yes, 2000
On every set A there is a rigid binary relation, i.e. such a relation R that there is no homomorphism (A,R)->(A,R) except the identity (Vopenka et al. [1965]). We state two conjectures which strengthen this theorem.
Tyszka, Apoloniusz
core   +1 more source

Compressed Data Structures for Binary Relations in Practice

open access: yesIEEE Access, 2020
Binary relations are commonly used in Computer Science for modeling data. In addition to classical representations using matrices or lists, some compressed data structures have recently been proposed to represent binary relations in compact space, such ...
Carlos Quijada Fuentes   +3 more
doaj   +1 more source

Fixed Point Theorems for Nonexpansive Mappings under Binary Relations

open access: yesMathematics, 2021
In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R-Krasnoselskii sequence. We observe that graphical versions (Fixed Point Theory Appl.
Aftab Alam   +3 more
doaj   +1 more source

Operations on binary relations

open access: yesDiscrete Mathematics, 1978
AbstractThe effects of five basic operations (asymmetrization, complementation, dualization, symmetrization, transitive closure) on binary relations are examined. Identifies between compound operations are developed (e.g. the symmetric part of the transitive closure of the complement of the transitive closure equals the transitive closure of the ...
openaire   +2 more sources

Relation-theoretic metrical coincidence and common fixed point theorems under nonlinear contractions

open access: yesApplied General Topology, 2018
In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation.
Md Ahmadullah   +2 more
doaj   +1 more source

Topological Structures on Vertex Set of Digraphs

open access: yesمجلة بغداد للعلوم, 2023
Relation on a set is a simple mathematical model to which many real-life data can be connected. A binary relation  on a set  can always be represented by a digraph. Topology on a set  can be generated by binary relations on the set .
K. Lalithambigai, P. Gnanachandra
doaj   +1 more source

Utilizing automatically inferred invariants in graph construction and search [PDF]

open access: yes, 2000
In this paper we explore the relative importance of persistent and non-persistent mutex relations in the performance of Graphplan- based planners. We also show the advantages of pre-compiling persistent mutex relations. Using TIM we are able to generate,
Fox, Maria, Long, Derek
core   +1 more source

Duality between erasures and defects

open access: yes, 2016
We investigate the duality of the binary erasure channel (BEC) and the binary defect channel (BDC). This duality holds for channel capacities, capacity achieving schemes, minimum distances, and upper bounds on the probability of failure to retrieve the ...
Kim, Yongjune, Kumar, B. V. K. Vijaya
core   +1 more source

Computational Modeling of Reticular Materials: The Past, the Present, and the Future

open access: yesAdvanced Materials, EarlyView.
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman   +3 more
wiley   +1 more source

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