Author

V. Yamini

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Preprint Aug 2026

A sharp fixed-size spectral bound for $kK_3$-free graphs

For a fixed integer $k\ge2$, we establish a sharp adjacency-spectral upper bound for sufficiently large $m$-edge $kK_3$-free graphs. We prove \[ \lambda(G)\le (k-1)+\sqrt{m-k(k-1)}. \] Moreover, equality holds precisely when $(2k-1)\mid m$ and, up to isolated vertices, $G$ is the join of $K_{2k-1}$ with an independent...

Joyentanuj Das, V. Yamini · 3 citations