Open Research Index

871 records

  1. Kirkman's theorem on Steiner triple systems

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  2. Nash-Williams' weak orientation theorem

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  3. Edmonds cardinality matroid intersection

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  4. Knaster–Reichbach homeomorphism extension on Cantor space

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

    Palomar RegistryOct 28, 2026math.GNmachine-checkedscore 0

  5. Cantor dynamical extension with a dense forward orbit

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

    Palomar RegistryOct 28, 2026math.GNmachine-checkedscore 0

  6. Finite-Lp vorticity nonuniqueness for two-dimensional Euler

    Tao Tao, Haiqi Zhang

    Palomar RegistryOct 28, 2026math.APmachine-checkedscore 0

  7. Stanley's acyclic orientations and chromatic reciprocity

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  8. Edmonds' perfect matching polytope and matching polytope

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  9. Mycielski Cantor independent set for dense-open binary relations

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

    Palomar RegistryOct 28, 2026math.GNmachine-checkedscore 0

  10. Ray-Chaudhuri–Wilson: uniform families with restricted intersections

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  11. Infinitely many elliptic curves with torsion Z/2Z × Z/4Z and rank at least six

    Manvir Jaswal

    Palomar RegistryOct 28, 2026math.NTmachine-checkedscore 0

  12. The Critical 2D KPZ Process

    Scott Armstrong

    Palomar RegistryOct 28, 2026math.PRmachine-checkedscore 0

  13. Deterministic factoring in time N^{o(1)}

    Isaac Rudich, Louis-Martin Rousseau

    Palomar RegistryOct 28, 2026math.NTmachine-checkedscore 0

  14. CONDITIONAL on GRH and four cited theorems: an explicit Chen threshold exp(exp 13.375), after Bordignon and Starichkova

    Steve Hubbard

    Palomar RegistryOct 28, 2026math.NTmachine-checkedscore 0

  15. Group constructions cannot refute the Set Cover Conjecture, including tensor powers

    Eyal Merhavi

    Palomar RegistryOct 28, 2026cs.CCmachine-checkedscore 0

  16. The Pippenger–Spencer theorem on the chromatic index of hypergraphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  17. Harmonic representatives and period separation for computational-path presentations

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

    Palomar RegistryOct 28, 2026math.ATmachine-checkedscore 0

  18. Category Hewitt–Savage zero-one law for infinite Baire products

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

    Palomar RegistryOct 28, 2026math.GNmachine-checkedscore 0

  19. Hamiltonicity and connectivity thresholds of the random graph G(n, p)

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  20. Nowhere-zero 3-flows in 6-edge-connected graphs

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  21. Thomassen: planar graphs of girth at least five are 3-choosable

    Juan Pablo Traverso Gianini

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  22. Natural cohomology of general Steiner bundles

    Vlado Vojdanovski

    Palomar RegistryOct 28, 2026math.AGmachine-checkedscore 0

  23. Zero-Sum Quartet Incidence and Sharp Maximal-Independent-Set Witnesses on Eight Vertices

    John Fairfax-Ball

    Palomar RegistryOct 28, 2026math.COmachine-checkedscore 0

  24. CONDITIONAL on Perelli-Pintz-Salerno 1984 and Perelli-Pintz 1993: Halupczok's ternary Goldbach mean value theorem with primes in progressions and short intervals, repaired

    Steve Hubbard

    Palomar RegistryOct 28, 2026math.NTmachine-checkedscore 0

  25. Pettis automatic continuity for Baire-to-separable topological groups

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

    Palomar RegistryOct 28, 2026math.GNmachine-checkedscore 0

  26. Baire-measurable regularization on comeagre G-delta subspaces

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

    Palomar RegistryOct 28, 2026math.GNmachine-checkedscore 0

  27. CHSH bounds for contractions by dilation: Tsirelson's bound, the classical bound under a commuting party, and the necessity of noncommutativity

    Stephanie Alexander

    Palomar RegistryOct 28, 2026quant-phmachine-checkedscore 0

  28. A proof of the spectral isometry conjecture for C*-algebras

    Matthew J. Colbrook, George Stepaniants

    Palomar RegistryOct 28, 2026math.OAmachine-checkedscore 0

  29. Generic ergodicity and non-smoothness of E₀

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

    Palomar RegistryOct 28, 2026math.LOmachine-checkedscore 0

  30. Furstenberg weak mixing and finite diagonal powers

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

    Palomar RegistryOct 28, 2026math.DSmachine-checkedscore 0

  31. Chang's theorem

    Gabriel Dahia

    Palomar RegistryOct 27, 2026math.COmachine-checkedscore 0

  32. A smaller upper bound for superpermutations

    Jay Pantone

    Palomar RegistryOct 27, 2026math.COmachine-checkedscore 0

  33. Slow Equilibration and Persistent Stationary Correlations in Spherical Spin Glasses

    P. M. Aronow

    Palomar RegistryOct 27, 2026math.PRmachine-checkedscore 0

  34. A proof of Kroó’s conjecture

    Matthew J. Colbrook

    Palomar RegistryOct 27, 2026math.CAmachine-checkedscore 0

  35. Chain returns and lower bounds for superpermutations

    Jay Pantone

    Palomar RegistryOct 27, 2026math.COmachine-checkedscore 0

  36. Proofs and corrections of OEIS conjectures

    Dev D. Goyal

    Palomar RegistryOct 27, 2026math.NTmachine-checkedscore 0

  37. Nearly linear directed cycles in vertex-transitive digraphs

    Abhishek Methuku

    Palomar RegistryOct 27, 2026math.COmachine-checkedscore 0

  38. A density version of the binary Goldbach problem, after Alsetri and Shao

    Steve Hubbard

    Palomar RegistryOct 27, 2026math.NTmachine-checkedscore 0

  39. The optimal Hessian bound for convex four-body central configurations

    Tejasvi Singh Tomar

    Palomar RegistryOct 27, 2026math.DSmachine-checkedscore 0

  40. Unique-Continuation-Planar

    Ahmed Bou-Rabee

    Palomar RegistryOct 27, 2026math.PRmachine-checkedscore 0

  41. ORRW-Lower-Bound

    Ahmed Bou-Rabee

    Palomar RegistryOct 27, 2026math.PRmachine-checkedscore 0

  42. Dynamic dimensional reduction in the Abelian sandpile

    Ahmed Bou-Rabee

    Palomar RegistryOct 27, 2026math.PRmachine-checkedscore 0

  43. Discontinuity of stochastic convolutions

    Joris van Winden

    Palomar RegistryOct 27, 2026math.PRmachine-checkedscore 0

  44. Regularity structures and dynamical Phi^4_3

    Scott Armstrong

    Palomar RegistryOct 27, 2026math.PRmachine-checkedscore 0

  45. Random walk on sphere packings and Delaunay triangulations in arbitrary dimension

    Ahmed Bou-Rabee

    Palomar RegistryOct 27, 2026math.PRmachine-checkedscore 0

  46. Independent sets in hypergraphs with no loose triangle

    Abhishek Methuku

    Palomar RegistryOct 27, 2026math.COmachine-checkedscore 0

  47. Bounds for the iteration x ↦ a mod x

    Jason Davies

    Palomar RegistryOct 27, 2026math.NTmachine-checkedscore 0

  48. BandParity: the band-parity sum of a quartic character, two laws modulo 4

    Joseph S. Farland

    Palomar RegistryOct 27, 2026math.NTmachine-checkedscore 0

  49. Algebraic E1 degeneration from explicit d′d″ identities

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

    Palomar RegistryOct 27, 2026math.ATmachine-checkedscore 0

  50. Erdős Problem 699: every counterexample has n ≤ j²

    Paul Lee

    Palomar RegistryOct 27, 2026math.NTmachine-checkedscore 0

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