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math.CO2024
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 $|…
math.CO2020★ 1 cited
The Turán number for the edge blow-up of trees
Anyao Wang, Xinmin Hou, Boyuan Liu +1
The edge blow-up of a graph is the graph obtained from replacing each edge in by a clique of the same size where the new vertices of the cliques are all different. In this…
math.CO2020★ 1 cited
Maximizing the number of independent sets of fixed size in -covered graphs
Anyao Wang, Xinmin Hou, Boyuan Liu +1
A graph is -covered by some given graph if each vertex in is contained in a copy of . In this note, we give the maximum number of independent sets of size $t\ge 3…