Research Paper#Graph Theory, Spectral Graph Theory, Extremal Graph Theory🔬 ResearchAnalyzed: Jan 3, 2026 19:59
Spectral Supersaturation for Color-Critical Graphs
Analysis
This paper investigates spectral supersaturation problems for color-critical graphs, a central topic in extremal graph theory. It builds upon previous research by Bollobás-Nikiforov and addresses a problem proposed by Ning-Zhai. The results provide a spectral counterpart to existing extremal supersaturation results and offer novel insights into the behavior of graphs based on their spectral radius.
Key Takeaways
- •Addresses spectral supersaturation problems for color-critical graphs.
- •Provides a spectral counterpart to existing extremal supersaturation results.
- •Resolves a problem proposed by Ning-Zhai.
- •Offers novel insights into graph behavior based on spectral radius.
- •Extends existing results and solves a related conjecture.
Reference
“The paper proves spectral supersaturation results for color-critical graphs, providing a complete resolution to a problem proposed by Ning-Zhai.”