Investigate piercing by general forests

Investigate g(n,Kp|T) when T is a forest other than a star, path, or matching.

Background

The paper analyzes stars, paths, matchings, and selected cycles, but does not develop a general theory for the remaining forests.

References

Problem 10.26. Investigate the behavior of g(n, Kp|(T)) where T is a forest other than star, path, or matching.

— Monochromatic graph decompositions and monochromatic piercing inspired by anti-Ramsey colorings  (2501.09342 - Caro et al., 16 Jan 2025) in Problem 10.26, Section 10.2