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arXiv · 2602.12654

All eigenvalues of the blowup of a graph

Ge Lin·Changjiang Bu
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Abstract

The $s$-blowup of a graph ($s\geq2$) is the $2s$-uniform hypergraph obtained by replacing each vertex with a set of size $s$ and preserving the adjacency relation. In this paper, we define $2s$-weighted graphs and use them to give all eigenvalues of the $s$-blowup of a graph.

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Ge Lin, Changjiang Bu. 2026-02-13. All eigenvalues of the blowup of a graph. https://arxiv.org/abs/2602.12654

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