Latest Research in Combinatorics

Top Research Topics in Combinatorics

• Combinatorics — 465 papers
• Data Structures and Algorithms — 111 papers
• Advanced Graph Theory Research — 53 papers
• Limits and Structures in Graph Theory — 29 papers
• Computational Geometry — 29 papers
• Discrete Mathematics — 23 papers
• Graph theory and applications — 19 papers
• Computational Complexity — 17 papers
• Complexity and Algorithms in Graphs — 16 papers
• Distributed, Parallel, and Cluster Computing — 12 papers

Highest-Cited Papers

1. Block designs and systems of pairs
2. Quantum algorithms for path and cycle containment problems
3. The Maximum Number of Triangles in Graphs Without Cycles of Length 0mod5
4. Cyclic basis orderings of uniformly dense rank-three matroids
5. Cyclic basis orderings of uniformly dense rank-three matroids
6. A Degree–Independent-Domination Bound for the Saturation Number: A Conjecture
7. Connected Counterexamples for Target Ramsey Numbers
8. A Degree-Spread Bound Between Independent Domination and Minimum Maximal Matchings: A Conjecture
9. A Note on Extendable Sets of Colorings and Rooted Minors
10. Connected Counterexamples for Target Ramsey Numbers
11. A Degree-Spread Bound Between Independent Domination and Minimum Maximal Matchings: A Conjecture
12. Some immanantal inequalities and equalities for linear combination matrices of (di)graphs
13. A Degree–Independent-Domination Bound for the Saturation Number: A Conjecture
14. Characterization of Equimatchable Even-Regular Graphs
15. Taming Treewidth DP with Modulators: A General Booster for Graph Heuristics
16. A stability theorem for Berge Hamiltonian cycles under a minimum degree condition
17. A Tight Bound on Online Vertex Cover under Edge Arrivals
18. On the achromatic index of Johnson graphs $J(n,2)$
19. Distributed Edge Coloring with Small Palettes and a Special Case of the Constructive Lovász Local Lemma
20. Extremal Graphs for the Energy-Independence Number Inequality