Discrete & Computational Geometry

Papers
(The median citation count of Discrete & Computational Geometry 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 2021-09-01 to 2025-09-01.)
ArticleCitations
Compact Metric Spaces with Infinite Cop Number16
Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and Its Applications9
A Tight Analysis of Geometric Local Search7
Noncrossing Partition Lattices from Planar Configurations7
Bipartite Diameter and Other Measures Under Translation7
Local Criteria for Triangulating General Manifolds6
Geodesic Geometry on Graphs6
Unbounded Regions of High-Order Voronoi Diagrams of Lines and Line Segments in Higher Dimensions6
Discrete Yamabe Problem for Polyhedral Surfaces6
Pair Crossing Number, Cutwidth, and Good Drawings on Arbitrary Point Sets6
The Convex Hull of Random Points on the Boundary of a Simple Polytope6
A New Face Iterator for Polyhedra and for More General Finite Locally Branched Lattices5
Transversals to Colorful Intersecting Convex Sets5
Lines on $$K3$$–Quartics Via Triangular Sets5
Completeness for the Complexity Class $$\forall \exists \mathbb {R}$$ and Area-Universality5
Fat Triangles Inscribed in Arbitrary Planar Domains4
A Lower Bound Theorem for Strongly Regular CW Spheres with up to $$2d+1$$ Vertices4
More Bisections by Hyperplane Arrangements4
On Fast Johnson–Lindenstrauss Embeddings of Compact Submanifolds of $$\mathbbm {R}^N$$ with Boundary4
Distance Bounds for High Dimensional Consistent Digital Rays and 2-D Partially-Consistent Digital Rays4
A Universal Triangulation for Flat Tori4
Fertilitopes4
Algorithms for Halfplane Coverage and Related Problems4
No-Dimensional Tverberg Partitions Revisited4
Iterated Medial Triangle Subdivision in Surfaces of Constant Curvature4
Undecidable Translational Tilings with Only Two Tiles, or One Nonabelian Tile4
Extreme Points of Gram Spectrahedra of Binary Forms4
On the Square Peg Problem4
Geometric Pattern Matching Reduces to k -SUM4
The Complex Plank Problem, Revisited4
No-Dimensional Tverberg Theorems and Algorithms4
Numerical Semigroups via Projections and via Quotients3
Disjoint Faces in Drawings of the Complete Graph and Topological Heilbronn Problems3
Topology and Local Geometry of the Eden Model3
Guest Editors’ Foreword3
Combinatorics of Intervals in the Plane I: Trapezoids3
Euclidean TSP in Narrow Strips3
Towards Uniform Online Spherical Tessellations3
Concyclic Intervals in the Plane3
Weighted Ehrhart Series and a Type-$$\textsf{B}$$ Analogue of a Formula of MacMahon3
Subdivision of Maps of Digital Images3
Intersection Searching amid Tetrahedra in Four Dimensions3
Improved Routing on the Delaunay Triangulation3
Tropical Compactification via Ganter’s Algorithm3
On an Equichordal Property of a Pair of Convex Bodies3
Combining Realization Space Models of Polytopes3
A Structural Szemerédi–Trotter Theorem for Cartesian Products3
Generating an Equidistributed Net on a Sphere Using Random Rotations3
Foreword3
On Short Edges in Complete Topological Graphs3
Computing p-Presentation Distances is Hard3
Transversals and Colorings of Simplicial Spheres3
On the Smallest Density of Non-Separable Lattices3
Discrete $$\ell ^{1}$$ Double Bubble Solution is at Most Ceiling Plus Two of the Continuous Solution3
Nearly k-Distance Sets3
Discrete Constant Mean Curvature Cylinders and Isothermic Tori3
The Duality of the Volumes and the Numbers of Vertices of Random Polytopes3
Covering Point-Sets with Parallel Hyperplanes and Sparse Signal Recovery3
Efficient Folding Algorithms for Convex Polyhedra2
Admissible Reversing and Extended Symmetries for Bijective Substitutions2
Nets in $$\mathbb {P}^2$$ and Alexander Duality2
The Structure of Metrizable Graphs2
Convexity, Elementary Methods, and Distances2
Flexible Placements of Periodic Graphs in the Plane2
On the Maximal Distance Between the Centers of Mass of a Planar Convex Body and Its Boundary2
Topological Optimization with Big Steps2
An Algebraic Approach to Projective Uniqueness with an Application to Order Polytopes2
Volumes of Subset Minkowski Sums and the Lyusternik Region2
Tutte Embeddings of Tetrahedral Meshes2
Peeling Sequences2
Random Zonotopes and Valuations2
Plurality in Spatial Voting Games with Constant $$\beta $$2
Determinant of the Finite Volume Laplacian2
New Constructions Related to the Polynomial Sphere Recognition Problem2
Average and Expected Distortion of Voronoi Paths and Scapes2
Translational Tiling with 8 Polyominoes is Undecidable2
Complexity of Maximum Cut on Interval Graphs2
Distortion Reversal in Aperiodic Tilings2
Approximating Maximum Integral Multiflows on Bounded Genus Graphs2
Extracting Persistent Clusters in Dynamic Data via Möbius Inversion2
Morse Shellings Out of Discrete Morse Functions2
Labelings vs. Embeddings: On Distributed and Prioritized Representations of Distances2
An Almost Optimal Bound on the Number of Intersections of Two Simple Polygons2
Periodic Steiner Networks Minimizing Length2
The Geometry of Random Tournaments2
Fragmenting any Parallelepiped into a Signed Tiling2
Field Choice Problem in Persistent Homology2
Distinct Distances on Non-Ruled Surfaces and Between Circles2
Efficient Algorithms for the Dense Packing of Congruent Circles Inside a Square2
PQ-Type Adjacency Polytopes of Join Graphs2
Relative Persistent Homology2
Three-Dimensional Graph Products with Unbounded Stack-Number2
Zigzags in Combinatorial Tetrahedral Chains and the Associated Markov Chain2
Barycentric Cuts Through a Convex Body2
Lonely Points in Simplices2
A Topology-Shape-Metrics Framework for Ortho-Radial Graph Drawing2
Set-Valued Recursions Arising from Vantage-Point Trees2
Monochromatic Infinite Sets in Minkowski Planes2
Ehrhart Quasi-Polynomials of Almost Integral Polytopes2
On the Extension Complexity of Polytopes Separating Subsets of the Boolean Cube2
Improved Algebraic Degeneracy Testing2
Spaces of Geodesic Triangulations of Surfaces2
Extendability of Simplicial Maps is Undecidable2
Connectivity of Triangulation Flip Graphs in the Plane2
Convex Polytopes, Dihedral Angles, Mean Curvature and Scalar Curvature2
Homotopy Theory in Digital Topology2
Bounds for the Regularity Radius of Delone Sets2
Embedding Divisor and Semi-Prime Testability in f-Vectors of Polytopes2
Corrected Curvature Measures2
On Some Non-Rigid Unit Distance Patterns2
Many Equiprojective Polytopes1
Decreasing Paths of Polygons1
Total Cut Complexes of Graphs1
Uniformly Acute Triangulations of PSLGs1
A Note on Bézout Type Inequalities for Mixed Volumes and Minkowski Sums1
Space-Aware Reconfiguration1
Linear Expected Complexity for Directional and Multiplicative Voronoi Diagrams1
Circumscribing Polygons and Polygonizations for Disjoint Line Segments1
Connecting 3-Manifold Triangulations with Unimodal Sequences of Elementary Moves1
On the Reeb Spaces of Definable Maps1
The Maximal Number of 3-Term Arithmetic Progressions in Finite Sets in Different Geometries1
From the Separable Tammes Problem to Extremal Distributions of Great Circles in the Unit Sphere1
Finite 3-Orbit Polyhedra in Ordinary Space I1
Meta-Diagrams for 2-Parameter Persistence1
Open, Closed, and Non-Degenerate Embedding Dimensions of Neural Codes1
Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations1
Rigidity of Nonconvex Polyhedra with Respect to Edge Lengths and Dihedral Angles1
Associahedra Minimize F-Vectors of Secondary Polytopes of Planar Point Sets1
Note on “Efficient Packings of Unit Squares in a Large Square”1
Euclidean Gallai–Ramsey for Various Configurations1
Optimal Finite Homogeneous Sphere Approximation1
Fiber Convex Bodies1
Some Results About Equichordal Convex Bodies1
Tropical Geometric Variation of Tree Shapes1
Lines in the Plane with the $$L_1$$ Metric1
Generalized Borsuk Graphs1
Orientation Preserving Maps of the Square Grid II1
Gluing and Cutting Cube Tiling Codes in Dimension Six1
Geometry of Convex Geometries1
A Note on Stabbing Convex Bodies with Points, Lines, and Flats1
Corrigendum to “Countable Decompositions of $$R^2$$ and $$R^3$$”1
Implicit Representation of Sparse Hereditary Families1
Publisher Correction: Eight-Partitioning Points in 3D, and Efficiently Too1
The $$\chi $$-Binding Function of d-Directional Segment Graphs1
Topological Art in Simple Galleries1
Generalized Dissections and Monsky’s Theorem1
Rotation Inside Convex Kakeya Sets1
The Crossing Tverberg Theorem1
New Upper Bounds for the Number of Embeddings of Minimally Rigid Graphs1
Monotone Paths on Cross-Polytopes1
$$\varepsilon $$-Isometric Dimension Reduction for Incompressible Subsets of $$\ell _p$$1
Matroids of Gain Signed Graphs1
From Word-Representable Graphs to Altered Tverberg-Type Theorems1
On the Chromatic Number of 2-Dimensional Spheres1
Maximum Matchings in Geometric Intersection Graphs1
Width Deviation of Convex Polygons1
Decompositions of Ehrhart $$h^*$$-Polynomials for Rational Polytopes1
Inductive Freeness of Ziegler’s Canonical Multiderivations1
Correction to: Avoiding the Global Sort: A Faster Contour Tree Algorithm1
Bounds for Polynomials on Algebraic Numbers and Application to Curve Topology1
Short Topological Decompositions of Non-orientable Surfaces1
On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane1
Combinatorial Properties and Recognition of Unit Square Visibility Graphs1
Inserting One Edge into a Simple Drawing is Hard1
Classification of Width 1 Lattice Tetrahedra by Their Multi-Width1
The Number of Configurations of Radii that Can Occur in Compact Packings of the Plane with Discs of n Sizes is Finite1
Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory1
An Identity Theorem for the Fourier–Laplace Transform of Polytopes on Nonzero Complex Multiples of Rationally Parameterizable Hypersurfaces1
Fractional Helly Theorem for Cartesian Products of Convex Sets1
New Bounds for Range Closest-Pair Problems1
Computing a Link Diagram From Its Exterior1
Block Partitions in Higher Dimensions1
Geometric and Functional Inequalities for Log-Concave Probability Sequences1
Smooth Column Convex Polyominoes1
The VC-Dimension and Point Configurations in $${\mathbb F}_q^2$$1
An Identity for the Coefficients of Characteristic Polynomials of Hyperplane Arrangements1
A Family of Non-Periodic Tilings of the Plane by Right Golden Triangles1
Improved Bounds for the Expected Number of k-Sets1
Algorithms for Contractibility of Compressed Curves on 3-Manifold Boundaries1
Convergence of Gibbs Sampling: Coordinate Hit-and-Run Mixes Fast1
Gorenstein Braid Cones and Crepant Resolutions1
Maximum Cut on Interval Graphs of Interval Count Four is NP-Complete1
Discrete Morse Theory for Computing Zigzag Persistence1
Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences1
Minimal Delaunay Triangulations of Hyperbolic Surfaces1
The Covering Radius and a Discrete Surface Area for Non-Hollow Simplices1
A Lower Bound on the Number of Colours Needed to Nicely Colour a Sphere0
On the Structure of Pointsets with Many Collinear Triples0
Topology and Geometry of Random 2-Dimensional Hypertrees0
Decomposing the Complement of the Union of Cubes and Boxes in Three Dimensions0
Dynamic Convex Hulls for Simple Paths0
Erdős–Szekeres-Type Problems in the Real Projective Plane0
Efficient Computation of a Semi-Algebraic Basis of the First Homology Group of a Semi-Algebraic Set0
Equality Conditions for the Fractional Superadditive Volume Inequalities0
Reconstructing Planar Ellipses from Translation-Invariant Minkowski Tensors of Rank Two0
Testing Polynomials for Vanishing on Cartesian Products of Planar Point Sets: Collinearity Testing and Related Problems0
Mixed Volumes of Normal Complexes0
Deep Cliques in Point Sets0
A Logarithmic Bound for Simultaneous Embeddings of Planar Graphs0
An Alternative Proof for an Aperiodic Monotile0
Computing Shapley Values in the Plane0
Substitution Discrete Plane Tilings with 2n-Fold Rotational Symmetry for Odd n0
Braced Triangulations and Rigidity0
Affine Stresses: The Partition of Unity and Kalai’s Reconstruction Conjectures0
Subword Complexes and Kalai’s Conjecture on Reconstruction of Spheres0
Restricted Birkhoff Polytopes and Ehrhart Period Collapse0
Arrangements of Approaching Pseudo-Lines0
Remarks on Growth Rates of Polynomials on Semialgebraic Sets0
The Ultrametric Gromov–Wasserstein Distance0
A Full Halin Grid Theorem0
Geometric Stabbing via Threshold Rounding and Factor Revealing LPs0
Pizza and 2-Structures0
Elementary Fractal Geometry. 3. Complex Pisot Factors Imply Finite Type0
Nondegenerate Spheres in Four Dimensions0
The Minimum Number of Peeling Sequences of a Point Set0
Conic-Line Arrangements in the Complex Projective Plane0
On the Planar Two-Center Problem and Circular Hulls0
The $$\varepsilon $$-t-Net Problem0
Every Generating Polytope is Strongly Monotypic0
SL(n) Contravariant Vector Valuations0
Covering the Edges of a Complete Geometric Graph with Convex Polygons0
Rigidity of Symmetric Frameworks on the Cylinder0
Uniformly Acute Triangulations of Polygons0
Conflict-Free Colouring of Subsets0
On the Banach–Mazur Distance in Small Dimensions0
On the Dominant of the Multicut Polytope0
Complex Homothetic Sections and Projections Through a Helly Type Theorem for Cosets of $$\mathbb {S}^1$$0
Spherical Cap Discrepancy of Perturbed Lattices Under the Lambert Projection0
On the Geometric Set Multicover Problem0
How to Morph a Tree on a Small Grid0
Computable Bounds for the Reach and r-Convexity of Subsets of $${{\mathbb {R}}}^d$$0
Counting Vertices of Integral Polytopes Defined by Facets0
A Subdivision Algebra for a Product of Two Simplices via Flow Polytopes0
Search of Fractal Space-Filling Curves with Minimal Dilation0
Cyclic Polytope of the Simplest Cubic Fields0
Guest Editors’ Foreword0
Fixing a Hole0
The Orlicz Gaussian Minkowski Problem for General Measures0
The Tropical and Zonotopal Geometry of Periodic Timetables0
Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics0
An Optimal Deterministic Algorithm for Geodesic Farthest-Point Voronoi Diagrams in Simple Polygons0
Some ‘Converses’ to Intrinsic Linking Theorems0
Trilateration Using Unlabeled Path or Loop Lengths0
The Cone of $$5\times 5$$ Completely Positive Matrices0
Minimal Volume Product of Three Dimensional Convex Bodies with Various Discrete Symmetries0
Inscribable Order Types0
Convex Bodies of Constant Width with Exponential Illumination Number0
Computing Homotopy Classes for Diagrams0
Discrete Isothermic Nets Based on Checkerboard Patterns0
Characterizations of the Sphere by Means of Point-Projections0
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