Work

All eigenvalues of the blowup of a graph

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2602.12654

Authors: Lin, Ge, Bu, Changjiang

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7129018746

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