An overview of key concepts in graph theory and their relevance.
― 5 min read
Mathematics - Metric Geometry
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This study examines the complexities of guarding polygons with visibility restrictions.
― 6 min read
A novel approach improves distance calculations on complex shapes for various fields.
― 5 min read
Examining the role of matroids in understanding convex shapes and volumes.
― 4 min read
Investigating the behavior and convergence of CAT-lattices within geometric structures.
― 7 min read
This article explores the study of non-convex shapes and their properties.
― 6 min read
Exploring new methods for better polynomial function approximations in various fields.
― 6 min read
This article reviews the relationship between symmetric spaces and Euclidean buildings.
― 4 min read
Study key concepts in probability and geometry that shape random structures.
― 6 min read
This study introduces a novel approach to dimension reduction using semi-relaxed Gromov-Wasserstein distance.
― 8 min read
A look into the relationship between perimeter and area in geometry.
― 6 min read
Planar-Rips complexes reveal connections and structures in two-dimensional data.
― 5 min read
This article examines sprays and their role in covering mathematical spaces.
― 5 min read
An overview of the Apollonian gasket’s structure and significance in mathematics.
― 7 min read
Exploring the importance of low regularity metrics in geometry and physics.
― 4 min read
This paper discusses fractals, their properties, and significant conjectures in the field.
― 4 min read
An insight into Legendrian currents and their role in minimizing area in geometry.
― 5 min read
Exploring the unique properties of CAT(0) spaces in geometry.
― 4 min read
A deep look at the puzzle of fitting a sofa through a corner.
― 5 min read
A detailed look at the Honeycomb Conjecture and its relevance across different geometric spaces.
― 5 min read
This article discusses applying Steiner symmetrization to spherical shapes to enhance their properties.
― 5 min read
Learn how fuzzy simplicial sets enhance data analysis and visualization.
― 11 min read
An overview of box dimension and its significance in dynamical systems.
― 6 min read
An insight into the shape-shifting world of flexible polyhedra.
― 6 min read
Exploring the limitations of the quadratrix in achieving circle squaring.
― 7 min read
Exploring geometric properties of Right-Angled Coxeter Groups through finite-state machines.
― 4 min read
A look into contact geometry, Reeb orbits, and their significance in various fields.
― 4 min read
A closer look at convex shapes and the role of reflections.
― 5 min read
Introducing innovative metrics for SPD matrices to improve stability and usability.
― 7 min read
Examining Sard's conjecture in the context of Carnot groups and endpoint maps.
― 5 min read
An overview of metric extensions and their significance in topology.
― 5 min read
Explore how circles can cover darts on a hexagonal board.
― 5 min read
This study analyzes the chromatic numbers of four-dimensional lattices through Voronoi graphs.
― 4 min read
Exploring the unique properties and applications of antinorms in mathematics.
― 7 min read
This article explores the affine-additive group's structure and properties.
― 4 min read
An overview of flat sub-Lorentzian structures and the Martinet distribution.
― 4 min read
A look into how eigenmaps improve data analysis through effective scaling.
― 6 min read
A deep dive into the Dyn-Farkhi conjecture and its implications in geometry.
― 5 min read
Exploring how geodesics function within random road structures offers practical implications.
― 5 min read
Exploring the relationship between unimodular valuations and lattice polytopes.
― 4 min read
Exploring the structure and features of nilpotent groups and torsion-free elements.
― 4 min read