Ars Combinatoria covers a wide array of areas in combinatorial mathematics, including:
- Graph theory
- Design theory
- Extremal combinatorics
- Enumeration
- Algebraic combinatorics
- Combinatorial optimization
- Ramsey theory
- Automorphism groups
- Coding theory
- Finite geometries
- Chemical graph theory
The journal also embraces closely related fields of number theory and classical geometry, which encompass topics such as:
- Tilings
- Tessellations
- Polyhedra