Mathematics
Open problems, research attempts and community review.
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-1651 Voronoi Diagram of Lines in 3D
- Math-1652 Union of Fat Objects in 3D
- Math-1653 Euclidean Minimum Spanning Tree
- Math-1654 Minimum Euclidean Matching in 2D
- Math-1655 Point Location in 3D Subdivision
- Math-1656 Output-sensitive Convex Hull in $\mathbb{R}^d$
- Math-1657 Visibility Graph Recognition
- Math-1658 Minimum-Link Path in 2D
- Math-1659 Hexahedral Meshing
- Math-1660 Flip Graph Connectivity in 3D
- Math-1661 Hamiltonian Tetrahedralizations
- Math-1662 Trapping Light Rays with Segment Mirrors
- Math-1663 Counting Polyominoes
- Math-1664 The Number of Pointed Pseudotriangulations
- Math-1665 Sorting $X+Y$ (Pairwise Sums)
- Math-1666 Vertex-Unfolding Polyhedra
- Math-1667 General Unfoldings of Nonconvex Polyhedra
- Math-1668 3D Minimum-Bend Orthogonal Graph Drawings
- Math-1669 Traveling Salesman Problem in Solid Grid Graphs
- Math-1670 Pallet Loading
- Math-1671 Most Circular Partition of a Square
- Math-1672 Edge-Unfolding Polycubes
- Math-1673 Reflexivity of Point Sets
- Math-1674 Zipper Unfoldings of Convex Polyhedra
- Math-1675 Geometry of Curves and Surfaces — Problem 1.1
- Math-1676 Geometry of Curves and Surfaces — Problem 1.3
- Math-1677 Geometry of Curves and Surfaces — Problem 1.5
- Math-1678 Geometry of Curves and Surfaces — Problem 1.8
- Math-1679 Geometry of Curves and Surfaces — Problem 1.9
- Math-1680 Geometry of Curves and Surfaces — Problem 2.1
- Math-1681 Geometry of Curves and Surfaces — Problem 2.3
- Math-1682 Geometry of Curves and Surfaces — Problem 4.1
- Math-1683 Geometry of Curves and Surfaces — Problem 4.2
- Math-1684 Geometry of Curves and Surfaces — Problem 5.2
- Math-1685 Geometry of Curves and Surfaces — Problem 5.3
- Math-1686 Geometry of Curves and Surfaces — Problem 6.3
- Math-1687 Probabilistic McMillan theorem in higher dimensions
- Math-1688 Topology of planar Brownian trace
- Math-1689 Percolation dimension of planar Brownian trace
- Math-1690 Convergence of synchronous reflected-Brownian couplings
- Math-1691 Non-extinction of a Fleming–Viot particle model
- Math-1692 Concatenated bounded Brownian pieces
- Math-1693 Do peaks of random labelings repel each other?
- Math-1694 Stationary distributions in one dimension
- Math-1695 Stationary distributions in higher dimensions
- Math-1696 Exchangeability in the mean-zero exclusion process
- Math-1697 Negative association for asymmetric exclusion
- Math-1698 Random Eulerian excursion dichotomy on high-dimensional tori
- Math-1699 Second-longest Eulerian excursion on the two-dimensional torus
- Math-1700 Shortest Eulerian excursion on the Hamming cube