Latest Research in Combinatorics

Top Research Topics in Combinatorics

• Combinatorics — 135 papers
• Number Theory — 83 papers
• Advanced Combinatorial Mathematics — 60 papers
• Analytic Number Theory Research — 58 papers
• Logic — 51 papers
• Group Theory — 37 papers
• Limits and Structures in Graph Theory — 34 papers
• Polynomial and algebraic computation — 24 papers
• Cryptography and Residue Arithmetic — 18 papers
• Computability, Logic, AI Algorithms — 17 papers

Highest-Cited Papers

1. Defect Flow, Incidence Rank, and Boundary Descent for Seymour's Second-Neighborhood Conjecture (2 citations)
2. Monochromatic sets in strictly Δ-regressive colourings
3. Monochromatic sets in strictly Δ-regressive colourings
4. Inversion monotonicity and asymptotic enumeration of 1324-avoiding permutations with few inversions
5. Measure-Zero vs. Meager: Two Inequivalent Notions of Smallness — E8 Intelligence Research
6. Replacement, traces and extensions in non-fin-intersecting almost disjoint families
7. Parity Invariant and Pivot Existence in the IMO Windmill Problem — E8 Intelligence Research
8. An Upper Bound of (3√3/2 + o(1))^d for the Chromatic Number of Euclidean Space (3 citations)
9. Parity Invariant and Pivot Existence in the IMO Windmill Problem — E8 Intelligence Research
10. The Modular Group's Symmetry Engine: Elliptic Curves, Modular Forms, and Fermat's Last Theorem — E8 Intelligence Research
11. Asymptotic enumeration of 1324-avoiding permutations with few inversions
12. Inversion monotonicity and asymptotic enumeration of 1324-avoiding permutations with few inversions
13. Replacement, traces and extensions in non-fin-intersecting almost disjoint families
14. The Core Inverse of the Anti-Triangular Block Matrix over Rings
15. Critical embeddings
16. The R.E. Degrees: Joins, Missing Meets, and Fickleness — E8 Intelligence Research
17. A proper permutation group transitive on countable sections
18. Windmill Dynamics: Rotational Symmetry in Combinatorial Geometry — E8 Intelligence Research
19. A complete characterization of indices of nonic number fields defined by x 9 + ax 2 + b
20. Exact Values and Bounds on Covering Schemes of Strength Two