Refuted Conjectures
- 3SUM Problem
- 20_4 Configuration
- A-Sequence
- Abelian Envelope
- Albertson-Berman Conjecture
- All-Pairs Shortest Path
- Amicable Pair
- Anstee-Sali Conjecture
- Approximation Problem
- Aristotle Gap
- Arithmetic Complexity
- Barnette-Bosák-Lederberg Graph
- Baxter-Hickerson Function
- Berman-Gévay-Pisanski Configuration
- Bernoulli Number
- Bernstein's Constant
- Bicubic Graph
- Bicubic Nonhamiltonian Graph
- Bilu-Linial Signing Conjecture
- Binomial Coefficient
- Bold Conjecture
- Bondage Number
- Bootstrap Percolation
- Borsuk's Conjecture
- Bourque-Ligh Conjecture
- Boy Surface
- Catlin Graph
- Chinese Hypothesis
- Chiu Graph
- Circuit-Cocircuit Intersection Conjecture
- Clunie-Sheil-Small Conjecture
- Comon Conjecture
- Compact Operator
- Conflict-Free Coloring
- Connes's Rigidity Conjecture
- Continuous Abelian Square
- Costa Minimal Surface
- Cubic Nonhamiltonian Graph
- Cubic Number
- Cyclic Edge Connectivity
- d'Arcais Polynomial
- Davenport Constant
- Definable Amenability
- Diophantine Equation--4th Powers
- Dixmier Conjecture
- Dominating Hadwiger Conjecture
- Elastic Knot
- Ellingham-Horton Graphs
- Erdős Degeneracy Conjecture
- Erdős-Graham Binomial Divisor Problem
- Erdős-Simonovits Compactness Conjecture
- Erdős-Sós Bipartite-Link Conjecture
- Erdős Unit Distance Problem
- Eternal Domination Number
- Euler's Graeco-Roman Squares Conjecture
- Euler Quartic Conjecture
- Euler Square
- Euler's Sum of Powers Conjecture
- Eventual Stability
- Faulkner-Younger Graphs
- Fermat Number
- Fractional Chromatic Number
- Frankl-Ota-Tokushige Conjecture
- Franklin Graph
- Fuglede's Conjecture
- Gale's Conjecture
- Gamma-Theta Conjecture
- Generalized Keller Graph
- Generalized Lax Conjecture
- Generalized Vanishing Conjecture
- Georges Configuration
- Goedgebeur Graph
- Graceful Graph
- Graph Likelihood
- Graph Spectrum
- Graph Toughness
- Gray Graph
- Greenfield Graph
- Griffiths' Conjecture
- Grinberg Graphs
- Grothendieck's Constant
- Grünbaum 20_4 Configuration
- Grünbaum Graphs
- Grünbaum-Rigby Configuration
- Hajós Conjecture
- Hamilton Decomposition
- Harmonic Landau Radius
- He-Schramm Conjecture
- Heawood Graph
- Hedetniemi's Conjecture
- Heilbronn Triangle Problem
- Hessian Conjecture
- Hilbert's Problems
- Horton Graphs
- Hypercube Graph
- Hypotraceable Graph
- Illumination Problem
- Image Conjecture
- Jacobian Conjecture
- Keller's Conjecture
- Keller Graph
- Kelvin's Conjecture
- Koizumi-Liu Conjecture
- Köthe's Conjecture
- Kravitz Conjecture
- Kusner's Conjecture
- Liouville Summatory Function
- List Total Chromatic Number
- List Total Coloring Conjecture
- Local Antimagic Chromatic Number
- Mason's Conjecture on Flats
- Masser-Gramain Constant
- Maximally Dense Unit-Distance Graph
- Maxwell Conjecture
- McKean Entropy-Production Conjecture
- Meredith Graph
- Merino-Welsh Conjecture
- Mertens Conjecture
- Mertens Function
- Metric Voting Distortion
- New Mersenne Prime Conjecture
- Nirenberg Asymptotic Curve Conjecture
- Nonaveraging Sequence
- Noperthedron
- Nuciferous Graph
- Odd Hadwiger Conjecture
- One-Ninth Constant
- Ono Inequality
- Ordinary Line
- Pach-Tardos Conjecture
- Palindromic Number Conjecture
- Partial List Coloring Conjecture
- Partition Function P Congruences
- Perfect Square Dissection
- Period-Index Conjecture
- Permutation Class
- Petersen Coloring
- Petersen Coloring Conjecture
- Petrykowski's Conjecture
- Pinwheel Scheduling
- Planar Bondage Conjecture
- Planar Hypotraceable Graph
- Plutarch Numbers
- Poisson Conjecture
- Pólya Conjecture
- Polyhedral Nonhamiltonian Graph
- Pompeiu Conjecture
- Prime Number Theorem
- Prince Rupert's Problem
- Projected Lax Conjecture
- Property C
- Property D
- Real Jacobian Conjecture
- Resistance-Equivalent Graphs
- Sárközy Local Extrema Conjectures
- Schiffer Conjecture
- Seifert Conjecture
- Separable Jacobian Conjecture
- Shapiro's Cyclic Sum Constant
- Sidorenko's Conjecture
- Simonovits Product Conjecture
- Simplicial Arrangement
- Smale's Problems
- Smallest Cubic Crossing Number Graph
- Smith Conjecture
- Soficity Conjecture
- Solid Partition
- Stable Forking Conjecture
- Stolarsky-Harborth Constant
- Strong Isometric Dimension
- Strong Roberson Conjecture
- Sub-Riemannian Sard Conjecture
- Sum-Product Problem
- Superpermutation
- Symmetric Tensor Rank
- Tait's Hamiltonian Graph Conjecture
- Talagrand's Operator Cotype Problem
- Tetrahedral Ring
- Tetrahedron Tetrahedron Picking
- Tiling
- Tokareva's Conjecture
- Trautman Conjecture
- Truncated Octahedral Graph
- Tutte Bicubic Graph Conjecture
- Tutte Conjecture
- Tutte Graph
- Unfolding
- Vanishing Conjecture
- Viterbo Conjecture
- Walther Graphs
- Wang's Conjecture
- White's Conjecture
- Wolstenholme Prime
- Zerofree