Open Research Index

871 records

  1. Depth-labeled interpolation and substitution in Sacchetti's modal logics

    JD Jones

    Palomar RegistryOct 16, 2026math.LOmachine-checkedscore 0

  2. Erdos 99 Partial Solution

    Naveen Stewart

    Palomar RegistryOct 16, 2026math.COmachine-checkedscore 0

  3. Connected counterexamples to the exact color-critical two-eigenvalue bound

    Idris Ali Shaik

    Palomar RegistryOct 16, 2026math.COmachine-checkedscore 0

  4. Finite Observations and Recognition of the Compact Albert Algebra

    Robert MacGregor

    Palomar RegistryOct 16, 2026math.RAmachine-checkedscore 0

  5. Finite quantum designs: mutually unbiased bases, SIC-POVMs, and the Welch and Gerzon bounds

    JD Jones

    Palomar RegistryOct 16, 2026quant-phmachine-checkedscore 0

  6. The Gallai–Hasse–Roy–Vitaver theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 16, 2026math.COmachine-checkedscore 0

  7. Euler's theorem on Eulerian circuits and trails, and Petersen's 2-factor theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 16, 2026math.COmachine-checkedscore 0

  8. Graphic sequences: the Erdős–Gallai and Havel–Hakimi theorems

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 16, 2026math.COmachine-checkedscore 0

  9. Algebraic points on a circle plus at most three arbitrary points are Euclidean Ramsey

    Will Strinz

    Palomar RegistryOct 16, 2026math.COmachine-checkedscore 0

  10. The Cauchy–Binet formula, Kirchhoff's matrix-tree theorem and Cayley's formula

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 16, 2026math.COmachine-checkedscore 0

  11. The augmented Descartes theorem in every dimension, its converses, and Soddy's two spheres

    JD Jones

    Palomar RegistryOct 16, 2026math.MGmachine-checkedscore 0

  12. Alexandroff–Urysohn cover metrization

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 16, 2026math.GNmachine-checkedscore 0

  13. Erdős Problem 656: translated restricted pair sums

    AItoBit

    Palomar RegistryOct 16, 2026math.DSmachine-checkedscore 0

  14. Waist

    Arseniy Akopyan

    Palomar RegistryOct 16, 2026math.MGmachine-checkedscore 0

  15. Füredi's stability theorem and the Erdős–Simonovits stability theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 16, 2026math.COmachine-checkedscore 0

  16. Dynamic MCS Ordering Maintenance

    Md Thoriqul Islam Thonmay, Gregory Morse

    Palomar RegistryOct 15, 2026cs.DSmachine-checkedscore 0

  17. Grötzsch's theorem, Ore's conjecture for k = 4 (Kostochka–Yancey) and the Grünbaum–Aksenov theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  18. Sharp universal support criterion for sub-Gaussian laws

    JD Jones

    Palomar RegistryOct 15, 2026math.PRmachine-checkedscore 0

  19. Smirnov's local-to-global metrization theorem

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 15, 2026math.GNmachine-checkedscore 0

  20. The Häggkvist–Janssen bound on the list chromatic index of complete graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  21. Vizing's theorem and equitable edge colourings

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  22. Wagner's planarity criterion and list colouring of planar and K5-minor-free graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  23. A finite counterexample for strict consecutive totient patterns

    Alexander

    Palomar RegistryOct 15, 2026math.NTmachine-checkedscore 0

  24. Distinguishing sets and measures from their planar Brownian images

    Sascha Troscheit

    Palomar RegistryOct 15, 2026math.PRmachine-checkedscore 0

  25. Dross's theorem on fractional triangle decompositions

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  26. The Beck–Fiala integer-making theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  27. H2 obstruction to lifting discrete matrix representations

    AItoBit

    Palomar RegistryOct 15, 2026math.GRmachine-checkedscore 0

  28. Near-regular hypergraph matchings and the asymptotic triangle-packing gap

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  29. CollatzPosDens

    Kenny Lau

    Palomar RegistryOct 15, 2026math.NTmachine-checkedscore 0

  30. The MDS conjecture over finite fields of even order

    Pranava Kumar

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  31. Localized two-eigenvalue bound for finite noncomplete graphs

    Idris Ali Shaik

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  32. Perfect images of metrizable spaces

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 15, 2026math.GNmachine-checkedscore 0

  33. The crystallographic restriction in every dimension: GL(N, ℤ) has an element of order m if and only if ψ(m) ≤ N

    JD Jones

    Palomar RegistryOct 15, 2026math.GRmachine-checkedscore 0

  34. Kuratowski's theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  35. Kőnig's theorems and Dilworth's theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  36. Classical bounds for graph Ramsey numbers

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 15, 2026math.COmachine-checkedscore 0

  37. Exponential separation of analytic self-conformal sets on the real line: Lean formalisation

    Balázs Bárány, István Kolossváry, Sascha Troscheit

    Palomar RegistryOct 14, 2026math.DSmachine-checkedscore 0

  38. A uniform zero-free region for Dedekind zeta functions

    Dean Cureton

    Palomar RegistryOct 14, 2026math.NTmachine-checkedscore 0

  39. The full Nagata–Smirnov metrization theorem

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 14, 2026math.GNmachine-checkedscore 0

  40. The sparsification theorem of Batson, Spielman and Srivastava

    Mario Ullrich

    Palomar RegistryOct 14, 2026math.FAmachine-checkedscore 0

  41. Fixed-dimensional separated Euclidean distances below 0.74 n squared

    John Tripodo

    Palomar RegistryOct 14, 2026math.COmachine-checkedscore 0

  42. Erdős 836: vertex counts and pairwise edge intersections in 3-chromatic intersecting uniform hypergraphs

    Linmiao Xu

    Palomar RegistryOct 14, 2026math.COmachine-checkedscore 0

  43. Heterogeneous Hegselmann–Krause dynamics: counterexamples to two conjectures and a theorem of Mirtabatabaei and Bullo

    JD Jones

    Palomar RegistryOct 14, 2026math.DSmachine-checkedscore 0

  44. Triangle-free graphs with prescribed chromatic number

    alexander

    Palomar RegistryOct 14, 2026math.COmachine-checkedscore 0

  45. Möbius invariance of the Ramsey property for finite spherical sets

    Will Strinz

    Palomar RegistryOct 14, 2026math.COmachine-checkedscore 0

  46. Flatness of one-homogeneous one-phase Bernoulli minimizers in dimensions at most six

    William M. Feldman

    Palomar RegistryOct 14, 2026math.APmachine-checkedscore 0

  47. Optimal universal 1 → 2 qubit cloning at fidelity 5/6, the universal-NOT, and asymmetric cloning

    JD Jones

    Palomar RegistryOct 13, 2026quant-phmachine-checkedscore 0

  48. Expected syzygies and Fröberg’s conjecture through degree 2d

    Vlado Vojdanovski

    Palomar RegistryOct 13, 2026math.ACmachine-checkedscore 0

  49. Optimality and uniqueness of Romik's ambidextrous sofa, formalized in Lean 4

    The-Anh Vu-Le

    Palomar RegistryOct 13, 2026math.MGmachine-checkedscore 0

  50. Perfect surjections and paracompactness

    Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz

    Palomar RegistryOct 13, 2026math.GNmachine-checkedscore 0

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