OOIR: Observatory of International Research

Papers

(The median citation count of Order-A Journal on the Theory of Ordered Sets and Its Applications is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-04-01 to 2024-04-01.)

Article	Citations
Poset Ramsey Numbers for Boolean Lattices	6
Representations of Infinite Tree Sets	5
Absolute Retracts for Finite Distributive Lattices and Slim Semimodular Lattices	5
A Generalization of Strassen’s Theorem on Preordered Semirings	4
Promotion Sorting	4
Sectionally Pseudocomplemented Posets	4
Peripheral Convex Expansions of Resonance Graphs	3
Linear Extension Numbers of n-Element Posets	3
Rainbow Ramsey Problems for the Boolean Lattice	3
Symmetric Maximal Condorcet Domains	3
Whitney Numbers for Poset Cones	3
Continuity and Directed Completion of Topological Spaces	2
Which Distributive Lattices are Lattices of Open Sets of P-Spaces?	2
A Construction for Boolean Cube Ramsey Numbers	2
An Approximation Algorithm for Random Generation of Capacities	2
Stability of Boolean Function Classes with Respect to Clones of Linear Functions	2
The Lattice of Functional Alexandroff Topologies	2
A Compact Representation for Modular Semilattices and Its Applications	2
Continuous Order-Preserving Functions for All Kind of Preorders	2
A Point-Free Approach to Canonical Extensions of Boolean Algebras and Bounded Archimedean $$\ell$$-Algebras	2
Enumerative Combinatorics of Intervals in the Dyck Pattern Poset	2
Higher-dimensional Delta-systems	2
Big Ramsey Spectra of Countable Chains	1
The Frame of Nuclei on an Alexandroff Space	1
Subordinations on Bounded Distributive Lattices	1

The Number of Subuniverses, Congruences, Weak Congruences of Semilattices Defined by Trees	1
Integral Operators on Lattices	1
On k-tree Containment Graphs of Paths in a Tree	1
Injective Hulls are Completions of Ordered Algebras	1
Covering Dimension and Universality Property on Frames	1
Poset Ramsey Number $$R(P,Q_{n})$$. I. Complete Multipartite Posets	1
Ordering Starlike Trees by the Totality of Their Spectral Moments	1
On Frink Ideals in Orthomodular Posets	1
Applications of Order Trees in Infinite Graphs	1
Ptolemaic and Planar Cover-incomparability Graphs	1
The Bounds for the Number of Linear Extensions Via Chain and Antichain Coverings	1
Adjoining a Strong Unit to an Archimedean Lattice-Ordered Group	1
Relations and Radicals in Abstract Lattices and in Lattices of Subspaces of Banach Spaces and of Ideals of Banach Algebras. Amitsur’s Theory Revisited	1
The Dimension of Divisibility Orders and Multiset Posets	1
Extending Orders on Rings with Idempotents and d-elements	1
Poset Exponentiation and a Counterexample Birkhoff Said in 1942 He Did Not Have	1
Cluster Algebras and Binary Subwords	1
Diagonal Orbits in a Type A Double Flag Variety of Complexity One	1
The Saturation Spectrum for Antichains of Subsets	1
On Convergence of Sequences in Complete Lattices	1
Containment Graphs and Posets of Paths in a Tree: Wheels and Partial Wheels	1
The Fixed Point Property in the Set of All Order Relations on a Finite Set	1
A Symmetric-Difference-Closed Orthomodular Lattice That Is Stateless	1
Minimum Weight Flat Antichains of Subsets	1
Definability in the Substructure Ordering of Finite Directed Graphs	1
Ptolemaic and Chordal Cover-Incomparability Graphs	1
Notes on Sharp and Principal Elements in Effect Algebras	0
Transversals of Total Strict Linear Orders	0
Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics	0
Tensor Product of Dimension Effect Algebras	0
Two Flags in a Semimodular Lattice Generate an Antimatroid	0
Largest Family Without a Pair of Posets on Consecutive Levels of the Boolean Lattice	0
A Study on Some Classes of Distributive Lattices with a Generalized Implication	0
A Type of Algebraic Structure Related to Sets of Intervals	0
Gluing Residuated Lattices	0
Constructions of Codes with Weighted Poset Block Metrics	0
Maximal Cliques Lattices Structures for Cocomparability Graphs with Algorithmic Applications	0
$$\mathfrak {m}$$-Baer and $$\mathfrak {m}$$-Rickart Lattices	0
A short note on the characterization of countable chains with finite big Ramsey spectra	0
A Study of the Small Inductive Dimension in the Area of Finite Lattices	0
Characteristic Polynomials of the Weak Order on Classical and Affine Coxeter Groups	0
Filter Classes of Upsets of Distributive Lattices	0
Stratifications on the Ran Space	0
Completions of Pseudo Ordered Sets	0
Injective Hulls in the Category of Mildly Distributive Semilattices	0
Polymatroids, Closure Operators and Lattices	0
On the Embedding of the Free Lattice of Rank 3 in the Lattice Freely Generated by Three Distributive Type Elements	0
F3-Reconstruction and Bi-Founded 2-Structures	0
Topos Quantum Theory with Short Posets	0
Orthogonality Spaces Associated with Posets	0

What is $$-Q$$ for a poset Q?	0
Medians are Below Joins in Semimodular Lattices of Breadth 2	0
Decidability of Well Quasi-Order and Atomicity for Equivalence Relations Under Embedding Orderings	0
Characterization of B0-VPG Cocomparability Graphs and a 2D Visualization of their Posets	0
Interval Posets of Permutations	0
Separability, Boxicity, and Partial Orders	0
A Generalization of a Theorem of Erné about the Number of Posets with a Fixed Antichain	0
Invariant Computation in a Poset	0
Are Chain-Complete Posets Co-wellpowered?	0
The Coincidence of the Bruhat Order and the Secondary Bruhat Order on $$\mathcal {A}(n,k)$$	0
Boolean Dimension of a Boolean Lattice	0
Patterns in Shi Tableaux and Dyck Paths	0
Representations for the Largest Extension of a Closure System	0
On Finitely-Generated Johansson Algebras	0
Chain-dependent Conditions in Extremal Set Theory	0
Order-Preserving Self-Maps of Complete Lattices	0
Helly-Type Theorems for the Ordering of the Vertices of a Hypergraph	0
General Mixed Lattices	0
Fractional Local Dimension	0
Order-Sensitive Domination in Partially Ordered Sets and Graphs	0
The Central Decomposition of FD01(n)	0
Correction: Choice Functions	0
The Canonical Complex of the Weak Order	0
Fully Preorderable Groups	0
Antichains in the Bruhat Order for the Classes $$\mathcal {A}(n,k)$$	0
Weakenings of the Knaster property	0
Poset Ramsey Number $$R(P,Q_n)$$. II. N-Shaped Poset	0
Choice Functions on Posets	0
Complementary Choice Functions	0
Homomorphism Order of Connected Monounary Algebras	0
Geometric Realizations of Tamari Interval Lattices Via Cubic Coordinates	0
Amalgamating Poset Extensions and Generating Free Lattices	0
MV-algebras and Partially Cyclically Ordered Groups	0
The Automorphism Conjecture for Ordered Sets of Dimension 2 and Interval Orders	0
Idempotents in the Endomorphism Algebra of a Finite Lattice	0
Combinatorics Arising from Lax Colimits of Posets	0
On the Rigidity of Lattices of Topologies on Vector Spaces	0
Cartesian Lattice Counting by the Vertical 2-sum	0
Planar Posets that are Accessible from Below Have Dimension at Most 6	0
Partitioning Transitive Tournaments into Isomorphic Digraphs	0
Order Distances and Split Systems	0
Critical Relations of Crowns in Critical Times of Coronavirus Depression	0
Borel Colouring Bad Rays	0
Extension of Sectional Pseudocomplementation in Posets	0
Length-preserving Extensions of a Semimodular Lattice by Lowering a Join-irreducible Element	0
Improved Lower Bounds on the On-line Chain Partitioning of Posets of Bounded Dimension	0
Sectionable Tournaments: their Topology and Coloring	0
Representations of Finite Groups by Posets of Small Height	0
A Proof of the Alternate Thomassé Conjecture for Countable N-Free Posets	0
Shattering k-sets with Permutations	0
Controlling the C3 Super Class Linearization Algorithm for Large Hierarchies of Classes	0
Algebras, Graphs and Ordered Sets – ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet	0
The Distinguishing Number and Distinguishing Chromatic Number for Posets	0
On Nontrivial Weak Dicomplementations and the Lattice Congruences that Preserve Them	0
On Properly Ordered Coloring of Vertices in a Vertex-Weighted Graph	0
An Infinite Antichain of Planar Tanglegrams	0
Jordan-Hölder Theorem with Uniqueness for Semimodular Lattices	0
Choice Functions	0
On a Problem of Conrad on Riesz Space Structures	0
Higman’s Lemma is Stronger for Better Quasi Orders	0
On the Automorphism Group of the Substructure Ordering of Finite Directed Graphs	0
The Dedekind-MacNeille Completion of a Poset as a Set of Ideals of the Incidence Algebra	0
Orthomodular Bands	0
The Voter Basis and the Admissibility of Tree Characters	0
On Dually-CPT and Strongly-CPT Posets	0
The Minor Order of Homomorphisms via Natural Dualities	0