The edge spectral extremal problem for $k{K}_3$ in nonzero residue classes

Jing Gao, Shuchao Li, Yuantian Yu

For a fixed integer $k\ge 2$, let $k{K}_3$ denote the vertex-disjoint union of $k$ triangles. A recent fixed-size spectral theorem of Das and Yamini asserts that, for all sufficientl…