# Advanced Combinatorial Mathematics

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/advanced-combinatorial-mathematics/

## Facts

| Field | Value |
| --- | --- |
| Citations | 321,001 |
| Description | This cluster of papers covers a wide range of topics in combinatorial mathematics, including permutations, polytopes, algebraic combinatorics, enumerative combinatorics, Hopf algebras, Schubert calculus, toric varieties, Catalan numbers, and Ehrhart polynomials. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T10948 |
| Works | 53,422 |

## Topic papers all

- [The Thurston-Bennequin number, Kauffman polynomial, and ruling invariants of a Legendrian link: The Fuchs conjecture and beyond](https://scholariq.org/papers/the-thurston-bennequin-number-kauffman-polynomial-and-ruling-invariants-of-a/)
- [RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (<i>n</i> ‐ 1) II](https://scholariq.org/papers/reconstruction-of-binary-relations-from-their-restrictions-of-cardinality-2-3-4-2/)
- [On the Göllnitz-Gordon-Andrews identities via commutative algebra](https://scholariq.org/papers/on-the-gollnitz-gordon-andrews-identities-via-commutative-algebra/)
- [$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra](https://scholariq.org/papers/j-generalization-of-the-rogers-ramanujan-gordon-identities-via-commutative/)
- [A proof of the Göllnitz-Gordon-Andrews identities via commutative algebra](https://scholariq.org/papers/a-proof-of-the-gollnitz-gordon-andrews-identities-via-commutative-algebra/)
- [$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra](https://scholariq.org/papers/j-generalization-of-the-rogers-ramanujan-gordon-identities-via-commutative-2/)
- [J-generalization of the Rogers–Ramanujan–Gordon identities via commutative algebra](https://scholariq.org/papers/j-generalization-of-the-rogers-ramanujan-gordon-identities-via-commutative-3/)

## Topic researchers

Showing 12 of 20.

- [David A. Kenny](https://scholariq.org/researchers/david-a-kenny/)
- [Terence Tao](https://scholariq.org/researchers/terence-tao/)
- [Donald E. Knuth](https://scholariq.org/researchers/donald-e-knuth/)
- [Robert E. Tarjan](https://scholariq.org/researchers/robert-e-tarjan/)
- [Peter E. Hart](https://scholariq.org/researchers/peter-e-hart/)
- [Simon Tavaré](https://scholariq.org/researchers/simon-tavare/)
- [I. S. Gradshteyn](https://scholariq.org/researchers/i-s-gradshteyn/)
- [Gian‐Carlo Rota](https://scholariq.org/researchers/gian-carlo-rota/)
- [J. F. C. Kingmán](https://scholariq.org/researchers/j-f-c-kingman/)
- [Richard O. Duda](https://scholariq.org/researchers/richard-o-duda/)
- [N. J. A. Sloane](https://scholariq.org/researchers/n-j-a-sloane/)
- [Stephen T. Smale](https://scholariq.org/researchers/stephen-t-smale/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.