Spectral Extrema for Graphs: The Zarankiewicz Problem

  title={Spectral Extrema for Graphs: The Zarankiewicz Problem},
  author={L{\'a}szl{\'o} Babai and Barry Guiduli},
  journal={Electr. J. Comb.},
Let G be a graph on n vertices with spectral radius λ (this is the largest eigenvalue of the adjacency matrix of G). We show that if G does not contain the complete bipartite graph Kt,s as a subgraph, where 2 6 t 6 s, then λ 6 ( 
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