A rainbow Dirac theorem for loose Hamilton cycles in hypergraphs

View Full Paper

Ask AI

Bookmark

A rainbow loose Hamilton cycle exists in hypergraphs above the j-degree threshold.
The study shows the application of the Dirac theorem to k-uniform hypergraphs.
Utilizing bounded colouring, this analysis reveals significant implications for cyclic structures.
Highlights potential for broader applications in extremal graph theory and combinatorial designs.

Discussion

No takes yet. Share an insight, caveat, or question.

Meta-conjecture demonstrates existence of rainbow Hamilton cycles in k-uniform hypergraphs, suggesting new color-bound findings.

Kathapurkar et al. (2025) studied this question.

View Full Paper

Ask AI

Bookmark