Author

Joyentanuj Das

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Preprint Aug 2026

A higher-connectivity spectral Ore theorem for triangle-free graphs

Let $B_{n,k}$ be the graph obtained from the balanced complete bipartite graph on $n$ vertices by deleting a matching of size $k$. If $G$ is an $n$-vertex triangle-free graph with $\kappa(\comp G)\geq k$, we prove that $\rhoA(G)\leq\rhoA(B_{n,k})$ for $n\geq4k+2$, with equality precisely when $G\cong B_{n,k}$, and we c...

Joyentanuj Das, Sayan Gupta · 0 citations

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