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 2021-06-01 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
Polarization Problem on a Higher-Dimensional Sphere for a Simplex10
Noncrossing Partition Lattices from Planar Configurations10
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
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
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
Algorithms for Halfplane Coverage and Related Problems5
Transversals to Colorful Intersecting Convex Sets5
A Universal Triangulation for Flat Tori5
$$A_\infty $$ Persistent Homology Estimates Detailed Topology from Pointcloud Datasets5
The Convex Hull of Random Points on the Boundary of a Simple Polytope5
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
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
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
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
Convex Polytopes, Dihedral Angles, Mean Curvature and Scalar Curvature2
Peeling Sequences2
Tutte Embeddings of Tetrahedral Meshes2
Distortion Reversal in Aperiodic Tilings2
Connectivity of Triangulation Flip Graphs in the Plane2
Extracting Persistent Clusters in Dynamic Data via Möbius Inversion2
Disjoint Faces in Drawings of the Complete Graph and Topological Heilbronn Problems2
On the Extension Complexity of Polytopes Separating Subsets of the Boolean Cube2
Transversals and Colorings of Simplicial Spheres2
Periodic Steiner Networks Minimizing Length2
Volumes of Subset Minkowski Sums and the Lyusternik Region2
Set-Valued Recursions Arising from Vantage-Point Trees2
Convexity, Elementary Methods, and Distances2
On the Ehrhart Polynomial of Minimal Matroids2
Flexible Placements of Periodic Graphs in the Plane2
Corrected Curvature Measures2
Monochromatic Infinite Sets in Minkowski Planes2
Efficient Algorithms for the Dense Packing of Congruent Circles Inside a Square2
Improved Algebraic Degeneracy Testing2
Plurality in Spatial Voting Games with Constant $$\beta $$2
Weighted Ehrhart Series and a Type-$$\textsf{B}$$ Analogue of a Formula of MacMahon2
Field Choice Problem in Persistent Homology2
Improved Routing on the Delaunay Triangulation2
An Algebraic Approach to Projective Uniqueness with an Application to Order Polytopes2
Estimating the Reach of a Manifold via its Convexity Defect Function2
Fragmenting any Parallelepiped into a Signed Tiling2
Efficient Folding Algorithms for Convex Polyhedra2
On the Maximal Distance Between the Centers of Mass of a Planar Convex Body and Its Boundary2
The Structure of Metrizable Graphs2
Topological Optimization with Big Steps2
Labelings vs. Embeddings: On Distributed and Prioritized Representations of Distances2
Barycentric Cuts Through a Convex Body2
Bounds on the Lattice Point Enumerator via Slices and Projections2
Three-Dimensional Graph Products with Unbounded Stack-Number2
Extendability of Simplicial Maps is Undecidable2
Random Zonotopes and Valuations2
Translational Tiling with 8 Polyominoes is Undecidable2
The Geometry of Random Tournaments2
Nets in $$\mathbb {P}^2$$ and Alexander Duality2
PQ-Type Adjacency Polytopes of Join Graphs2
Subdivision of Maps of Digital Images2
Foreword2
Intersection Searching amid Tetrahedra in Four Dimensions2
A Topology-Shape-Metrics Framework for Ortho-Radial Graph Drawing2
Spaces of Geodesic Triangulations of Surfaces2
Euclidean Gallai–Ramsey for Various Configurations2
Morse Shellings Out of Discrete Morse Functions2
Bounds for the Regularity Radius of Delone Sets2
Ehrhart Quasi-Polynomials of Almost Integral Polytopes2
New Constructions Related to the Polynomial Sphere Recognition Problem2
An Almost Optimal Bound on the Number of Intersections of Two Simple Polygons2
Minimal Delaunay Triangulations of Hyperbolic Surfaces1
Finite 3-Orbit Polyhedra in Ordinary Space I1
Connecting 3-Manifold Triangulations with Unimodal Sequences of Elementary Moves1
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
Toric Codes from Order Polytopes1
Radon Numbers Grow Linearly1
Algorithms for Contractibility of Compressed Curves on 3-Manifold Boundaries1
The Maximal Number of 3-Term Arithmetic Progressions in Finite Sets in Different Geometries1
Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory1
Rotation Inside Convex Kakeya Sets1
A Note on Bézout Type Inequalities for Mixed Volumes and Minkowski Sums1
Classification of Width 1 Lattice Tetrahedra by Their Multi-Width1
On the Reeb Spaces of Definable Maps1
Approximating Maximum Integral Multiflows on Bounded Genus Graphs1
Geometry of Convex Geometries1
Generalized Borsuk Graphs1
A Note on Stabbing Convex Bodies with Points, Lines, and Flats1
Rigidity of Nonconvex Polyhedra with Respect to Edge Lengths and Dihedral Angles1
Corrigendum to “Countable Decompositions of $$R^2$$ and $$R^3$$”1
Complexity of Maximum Cut on Interval Graphs1
New Upper Bounds for the Number of Embeddings of Minimally Rigid Graphs1
Threshold Phenomena for Random Cones1
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 Number of Configurations of Radii that Can Occur in Compact Packings of the Plane with Discs of n Sizes is Finite1
Short Topological Decompositions of Non-orientable Surfaces1
The Facial Weak Order on Hyperplane Arrangements1
Circular Nets with Spherical Parameter Lines and Terminating Laplace Sequences1
Total Cut Complexes of Graphs1
Correction to: The Schläfli Fan1
Space-Aware Reconfiguration1
Topological Art in Simple Galleries1
Bounds for Polynomials on Algebraic Numbers and Application to Curve Topology1
Smooth Column Convex Polyominoes1
Combinatorial Properties and Recognition of Unit Square Visibility Graphs1
Lonely Points in Simplices1
Geometric and Functional Inequalities for Log-Concave Probability Sequences1
An Identity Theorem for the Fourier–Laplace Transform of Polytopes on Nonzero Complex Multiples of Rationally Parameterizable Hypersurfaces1
On Some Non-Rigid Unit Distance Patterns1
An Identity for the Coefficients of Characteristic Polynomials of Hyperplane Arrangements1
Tropical Geometric Variation of Tree Shapes1
Associahedra Minimize F-Vectors of Secondary Polytopes of Planar Point Sets1
Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations1
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
Gorenstein Braid Cones and Crepant Resolutions1
Generalized Dissections and Monsky’s Theorem1
A Family of Non-Periodic Tilings of the Plane by Right Golden Triangles1
Orientation Preserving Maps of the Square Grid II1
Gluing and Cutting Cube Tiling Codes in Dimension Six1
Linear Expected Complexity for Directional and Multiplicative Voronoi Diagrams1
Implicit Representation of Sparse Hereditary Families1
On the Chromatic Number of 2-Dimensional Spheres1
Fractional Helly Theorem for Cartesian Products of Convex Sets1
The $$\chi $$-Binding Function of d-Directional Segment Graphs1
From the Separable Tammes Problem to Extremal Distributions of Great Circles in the Unit Sphere1
Many Equiprojective Polytopes1
Admissible Reversing and Extended Symmetries for Bijective Substitutions1
Correction to: Avoiding the Global Sort: A Faster Contour Tree Algorithm1
Uniformly Acute Triangulations of PSLGs1
Guest Editors’ Foreword0
Pizza and 2-Structures0
Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics0
Stabbing Pairwise Intersecting Disks by Four Points0
The $$\varepsilon $$-t-Net Problem0
Every Generating Polytope is Strongly Monotypic0
Some ‘Converses’ to Intrinsic Linking Theorems0
Mixed Volumes of Normal Complexes0
Fixing a Hole0
Rigidity of Symmetric Frameworks on the Cylinder0
Reconstructing Planar Ellipses from Translation-Invariant Minkowski Tensors of Rank Two0
Minimal Volume Product of Three Dimensional Convex Bodies with Various Discrete Symmetries0
Affine Stresses: The Partition of Unity and Kalai’s Reconstruction Conjectures0
Discrete Isothermic Nets Based on Checkerboard Patterns0
Computing Homotopy Classes for Diagrams0
On the Structure of Pointsets with Many Collinear Triples0
Elementary Fractal Geometry. 3. Complex Pisot Factors Imply Finite Type0
Convex Bodies of Constant Width with Exponential Illumination Number0
Topological Drawings Meet Classical Theorems from Convex Geometry0
A Full Halin Grid Theorem0
On the Contractibility of Random Vietoris–Rips Complexes0
Computing Shapley Values in the Plane0
Testing Polynomials for Vanishing on Cartesian Products of Planar Point Sets: Collinearity Testing and Related Problems0
Fast Algorithms for Minimum Homology Basis0
Deep Cliques in Point Sets0
A Logarithmic Bound for Simultaneous Embeddings of Planar Graphs0
Approximating Maximum Diameter-Bounded Subgraph in Unit Disk Graphs0
Quasi-Regular Polytopes of Full Rank0
An Alternative Proof for an Aperiodic Monotile0
Trilateration Using Unlabeled Path or Loop Lengths0
The Minimum Number of Peeling Sequences of a Point Set0
The Cone of $$5\times 5$$ Completely Positive Matrices0
Inscribable Order Types0
Substitution Discrete Plane Tilings with 2n-Fold Rotational Symmetry for Odd n0
On the Dominant of the Multicut Polytope0
Arrangements of Approaching Pseudo-Lines0
Spherical Cap Discrepancy of Perturbed Lattices Under the Lambert Projection0
Graded Cohen–Macaulay Domains and Lattice Polytopes with Short h-Vector0
The Tropical Non-Properness Set of a Polynomial Map0
Finitary Affine Oriented Matroids0
The Tropical and Zonotopal Geometry of Periodic Timetables0
Nondegenerate Spheres in Four Dimensions0
Counting Vertices of Integral Polytopes Defined by Facets0
Dynamic Convex Hulls for Simple Paths0
Cyclic Polytope of the Simplest Cubic Fields0
Conic-Line Arrangements in the Complex Projective Plane0
Efficient Computation of a Semi-Algebraic Basis of the First Homology Group of a Semi-Algebraic Set0
SL(n) Contravariant Vector Valuations0
On the Planar Two-Center Problem and Circular Hulls0
Uniformly Acute Triangulations of Polygons0
An Optimal Deterministic Algorithm for Geodesic Farthest-Point Voronoi Diagrams in Simple Polygons0
Covering the Edges of a Complete Geometric Graph with Convex Polygons0
Equality Conditions for the Fractional Superadditive Volume Inequalities0
Remarks on Growth Rates of Polynomials on Semialgebraic Sets0
Decomposing the Complement of the Union of Cubes and Boxes in Three Dimensions0
Conflict-Free Colouring of Subsets0
Complex Homothetic Sections and Projections Through a Helly Type Theorem for Cosets of $$\mathbb {S}^1$$0
Restricted Birkhoff Polytopes and Ehrhart Period Collapse0
How to Morph a Tree on a Small Grid0
Characterizations of the Sphere by Means of Point-Projections0
Reconstructing d-Manifold Subcomplexes of Cubes from Their $$(\lfloor d/2 \rfloor + 1)$$-Skeletons0
The Ultrametric Gromov–Wasserstein Distance0
On the Banach–Mazur Distance in Small Dimensions0
On the Geometric Set Multicover Problem0
Subword Complexes and Kalai’s Conjecture on Reconstruction of Spheres0
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