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math.CO 1

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More on Nosal's spectral theorem: Books and $4$-cycles

math.CO · 2025-08-20 · unverdicted · novelty 7.0

The paper establishes asymptotic lower bounds on shared-edge triangles, shared-vertex cliques, and C4 copies in graphs with spectral radius > √m, confirming three conjectures with matching constructions.

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  • More on Nosal's spectral theorem: Books and $4$-cycles math.CO · 2025-08-20 · unverdicted · none · ref 11

    The paper establishes asymptotic lower bounds on shared-edge triangles, shared-vertex cliques, and C4 copies in graphs with spectral radius > √m, confirming three conjectures with matching constructions.