Exact Rainbow Numbers for Cycle-Related Graphs in Multi-Hubbed Wheels
Published:Dec 28, 2025 06:55
•1 min read
•ArXiv
Analysis
This paper determines the exact rainbow number for specific graph structures (multi-hubbed wheels and chorded cycles) which is important for applications in areas like wireless communication and network analysis. It solves problems proposed by previous researchers and generalizes existing results, providing a complete solution for rainbow numbers of cycles in large wheel graphs.
Key Takeaways
Reference
“The paper determines the exact rainbow number rb(G, H) where G is a multi-hubbed wheel graph W_d(s) and H = θ_{t,ℓ} represents a cycle C_t of length t with 0 ≤ ℓ ≤ t-3 chords emanating from a common vertex.”