2 papers
math.CO2026
Advances on two spectral conjectures regarding booksize of graphs
Mingqing Zhai, Rui Li, Zhenzhen Lou
The booksize of a graph , introduced by ErdÅs, refers to the maximum integer for which contains the book as a subgraph. This paper invest…
math.CO2025
Spectral Radius of Graphs with Size Constraints: Resolving a Conjecture of Guiduli
Rui Li, Anyao Wang, Mingqing Zhai
We resolve a problem posed by Guiduli (1996) on the spectral radius of graphs satisfying the Hereditarily Bounded Property , which requires that every subgraph with $|…