Discrete & Computational Geometry

Papers
(The TQCC of Discrete & Computational Geometry is 1. 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Compact Metric Spaces with Infinite Cop Number16
Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications11
Noncrossing Partition Lattices from Planar Configurations10
Polarization Problem on a Higher-Dimensional Sphere for a Simplex10
A Tight Analysis of Geometric Local Search9
Bipartite Diameter and Other Measures Under Translation8
Unbounded Regions of High-Order Voronoi Diagrams of Lines and Line Segments in Higher Dimensions7
Lines on $$K3$$–Quartics Via Triangular Sets6
Local Criteria for Triangulating General Manifolds6
Completeness for the Complexity Class $$\forall \exists \mathbb {R}$$ and Area-Universality6
Undecidable Translational Tilings with Only Two Tiles, or One Nonabelian Tile6
Pair Crossing Number, Cutwidth, and Good Drawings on Arbitrary Point Sets6
A New Face Iterator for Polyhedra and for More General Finite Locally Branched Lattices6
Discrete Yamabe Problem for Polyhedral Surfaces6
Geodesic Geometry on Graphs6
$$A_\infty $$ Persistent Homology Estimates Detailed Topology from Pointcloud Datasets5
The Convex Hull of Random Points on the Boundary of a Simple Polytope5
Algorithms for Halfplane Coverage and Related Problems5
Transversals to Colorful Intersecting Convex Sets5
A Universal Triangulation for Flat Tori5
A Lower Bound Theorem for Strongly Regular CW Spheres with up to $$2d+1$$ Vertices4
The VC Dimension of Metric Balls under Fréchet and Hausdorff Distances4
Geometric Pattern Matching Reduces to k -SUM4
More Bisections by Hyperplane Arrangements4
Extreme Points of Gram Spectrahedra of Binary Forms4
On Fast Johnson–Lindenstrauss Embeddings of Compact Submanifolds of $$\mathbbm {R}^N$$ with Boundary4
Fertilitopes4
No-Dimensional Tverberg Theorems and Algorithms4
On the Square Peg Problem4
Combining Realization Space Models of Polytopes3
Discrete Constant Mean Curvature Cylinders and Isothermic Tori3
Generating an Equidistributed Net on a Sphere Using Random Rotations3
Topology and Local Geometry of the Eden Model3
Euclidean TSP in Narrow Strips3
Iterated Medial Triangle Subdivision in Surfaces of Constant Curvature3
Discrete $$\ell ^{1}$$ Double Bubble Solution is at Most Ceiling Plus Two of the Continuous Solution3
Distance Bounds for High Dimensional Consistent Digital Rays and 2-D Partially-Consistent Digital Rays3
The Duality of the Volumes and the Numbers of Vertices of Random Polytopes3
On Short Edges in Complete Topological Graphs3
Covering Point-Sets with Parallel Hyperplanes and Sparse Signal Recovery3
Chiral Polyhedra in 3-Dimensional Geometries and from a Petrie–Coxeter Construction3
Combinatorics of Intervals in the Plane I: Trapezoids3
No-Dimensional Tverberg Partitions Revisited3
On an Equichordal Property of a Pair of Convex Bodies3
Guest Editors’ Foreword3
Tropical Compactification via Ganter’s Algorithm3
Numerical Semigroups via Projections and via Quotients3
Concyclic Intervals in the Plane3
On the Smallest Density of Non-Separable Lattices3
Nearly k-Distance Sets3
A Structural Szemerédi–Trotter Theorem for Cartesian Products3
The Complex Plank Problem, Revisited3
Towards Uniform Online Spherical Tessellations3
The Structure of Metrizable Graphs2
Foreword2
Labelings vs. Embeddings: On Distributed and Prioritized Representations of Distances2
Bounds on the Lattice Point Enumerator via Slices and Projections2
Extendability of Simplicial Maps is Undecidable2
Random Zonotopes and Valuations2
The Geometry of Random Tournaments2
Subdivision of Maps of Digital Images2
Bounds for the Regularity Radius of Delone Sets2
PQ-Type Adjacency Polytopes of Join Graphs2
Intersection Searching amid Tetrahedra in Four Dimensions2
New Constructions Related to the Polynomial Sphere Recognition Problem2
A Topology-Shape-Metrics Framework for Ortho-Radial Graph Drawing2
Convex Polytopes, Dihedral Angles, Mean Curvature and Scalar Curvature2
Spaces of Geodesic Triangulations of Surfaces2
Distortion Reversal in Aperiodic Tilings2
Euclidean Gallai–Ramsey for Various Configurations2
Extracting Persistent Clusters in Dynamic Data via Möbius Inversion2
Morse Shellings Out of Discrete Morse Functions2
Ehrhart Quasi-Polynomials of Almost Integral Polytopes2
An Almost Optimal Bound on the Number of Intersections of Two Simple Polygons2
Peeling Sequences2
Tutte Embeddings of Tetrahedral Meshes2
Connectivity of Triangulation Flip Graphs in the Plane2
Disjoint Faces in Drawings of the Complete Graph and Topological Heilbronn Problems2
On the Ehrhart Polynomial of Minimal Matroids2
On the Extension Complexity of Polytopes Separating Subsets of the Boolean Cube2
Transversals and Colorings of Simplicial Spheres2
Corrected Curvature Measures2
Periodic Steiner Networks Minimizing Length2
Improved Algebraic Degeneracy Testing2
Volumes of Subset Minkowski Sums and the Lyusternik Region2
Weighted Ehrhart Series and a Type-$$\textsf{B}$$ Analogue of a Formula of MacMahon2
Set-Valued Recursions Arising from Vantage-Point Trees2
An Algebraic Approach to Projective Uniqueness with an Application to Order Polytopes2
Convexity, Elementary Methods, and Distances2
Flexible Placements of Periodic Graphs in the Plane2
Monochromatic Infinite Sets in Minkowski Planes2
Efficient Algorithms for the Dense Packing of Congruent Circles Inside a Square2
Plurality in Spatial Voting Games with Constant $$\beta $$2
Improved Routing on the Delaunay Triangulation2
Topological Optimization with Big Steps2
Field Choice Problem in Persistent Homology2
Estimating the Reach of a Manifold via its Convexity Defect Function2
Barycentric Cuts Through a Convex Body2
Fragmenting any Parallelepiped into a Signed Tiling2
Three-Dimensional Graph Products with Unbounded Stack-Number2
Efficient Folding Algorithms for Convex Polyhedra2
Translational Tiling with 8 Polyominoes is Undecidable2
On the Maximal Distance Between the Centers of Mass of a Planar Convex Body and Its Boundary2
Nets in $$\mathbb {P}^2$$ and Alexander Duality2
Determinant of the Finite Volume Laplacian1
Circumscribing Polygons and Polygonizations for Disjoint Line Segments1
Discrete Morse Theory for Computing Zigzag Persistence1
New Bounds for Range Closest-Pair Problems1
Inductive Freeness of Ziegler’s Canonical Multiderivations1
Graded Persistence Diagrams and Persistence Landscapes1
A Family of Non-Periodic Tilings of the Plane by Right Golden Triangles1
Gorenstein Braid Cones and Crepant Resolutions1
Generalized Dissections and Monsky’s Theorem1
Gluing and Cutting Cube Tiling Codes in Dimension Six1
Linear Expected Complexity for Directional and Multiplicative Voronoi Diagrams1
Combinatorial Properties and Recognition of Unit Square Visibility Graphs1
Orientation Preserving Maps of the Square Grid II1
Fractional Helly Theorem for Cartesian Products of Convex Sets1
An Identity Theorem for the Fourier–Laplace Transform of Polytopes on Nonzero Complex Multiples of Rationally Parameterizable Hypersurfaces1
Implicit Representation of Sparse Hereditary Families1
On the Chromatic Number of 2-Dimensional Spheres1
From the Separable Tammes Problem to Extremal Distributions of Great Circles in the Unit Sphere1
Tropical Geometric Variation of Tree Shapes1
The $$\chi $$-Binding Function of d-Directional Segment Graphs1
Correction to: Avoiding the Global Sort: A Faster Contour Tree Algorithm1
Admissible Reversing and Extended Symmetries for Bijective Substitutions1
Finite 3-Orbit Polyhedra in Ordinary Space I1
Minimal Delaunay Triangulations of Hyperbolic Surfaces1
Zigzags in Combinatorial Tetrahedral Chains and the Associated Markov Chain1
On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane1
Embedding Divisor and Semi-Prime Testability in f-Vectors of Polytopes1
Lines in the Plane with the $$L_1$$ Metric1
Homotopy Theory in Digital Topology1
Monotone Paths on Cross-Polytopes1
Fiber Convex Bodies1
The VC-Dimension and Point Configurations in $${\mathbb F}_q^2$$1
Relative Persistent Homology1
Computing a Link Diagram From Its Exterior1
Algorithms for Contractibility of Compressed Curves on 3-Manifold Boundaries1
Toric Codes from Order Polytopes1
Many Equiprojective Polytopes1
Radon Numbers Grow Linearly1
Rotation Inside Convex Kakeya Sets1
Uniformly Acute Triangulations of PSLGs1
The Maximal Number of 3-Term Arithmetic Progressions in Finite Sets in Different Geometries1
Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory1
On the Reeb Spaces of Definable Maps1
Connecting 3-Manifold Triangulations with Unimodal Sequences of Elementary Moves1
A Note on Bézout Type Inequalities for Mixed Volumes and Minkowski Sums1
Classification of Width 1 Lattice Tetrahedra by Their Multi-Width1
Geometry of Convex Geometries1
Approximating Maximum Integral Multiflows on Bounded Genus Graphs1
Rigidity of Nonconvex Polyhedra with Respect to Edge Lengths and Dihedral Angles1
A Note on Stabbing Convex Bodies with Points, Lines, and Flats1
New Upper Bounds for the Number of Embeddings of Minimally Rigid Graphs1
Complexity of Maximum Cut on Interval Graphs1
Average and Expected Distortion of Voronoi Paths and Scapes1
Block Partitions in Higher Dimensions1
Distinct Distances on Non-Ruled Surfaces and Between Circles1
Inserting One Edge into a Simple Drawing is Hard1
Width Deviation of Convex Polygons1
Matroids of Gain Signed Graphs1
Odd Wheels Are Not Odd-Distance Graphs1
Meta-Diagrams for 2-Parameter Persistence1
On the Stability Problem of Equilibrium Discrete Planar Curves1
The Crossing Tverberg Theorem1
The Facial Weak Order on Hyperplane Arrangements1
The Number of Configurations of Radii that Can Occur in Compact Packings of the Plane with Discs of n Sizes is Finite1
Generalized Borsuk Graphs1
Short Topological Decompositions of Non-orientable Surfaces1
Correction to: The Schläfli Fan1
Corrigendum to “Countable Decompositions of $$R^2$$ and $$R^3$$”1
Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences1
Total Cut Complexes of Graphs1
Topological Art in Simple Galleries1
Threshold Phenomena for Random Cones1
Space-Aware Reconfiguration1
Smooth Column Convex Polyominoes1
Bounds for Polynomials on Algebraic Numbers and Application to Curve Topology1
Geometric and Functional Inequalities for Log-Concave Probability Sequences1
Lonely Points in Simplices1
On Some Non-Rigid Unit Distance Patterns1
An Identity for the Coefficients of Characteristic Polynomials of Hyperplane Arrangements1
Associahedra Minimize F-Vectors of Secondary Polytopes of Planar Point Sets1
Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations1
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