Infinite combinatorics

Infinite combinatorics is a subfield of combinatorics where the behavior of infinite combinatorial objects (graphs, matroids, orderings etc.) is under investigation.

Problems in this category:

• Compactness of Kőnig-property
• Fishbone conjecture
• Infinite Lucchesi-Younger
• Orientation conjecture of Nash-Williams
• Quasi-kernels and quasi-sinks
• Seymour's self-minor conjecture
• Strongly maximal H-free spanning subgraph
• Strongly maximal matchings
• Strongly minimal edge cover