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math.CO2022
All eigenvalues of the power hypergraph and signed subgraphs of a graph
Lixiang Chen, Edwin R. van Dam, Changjiang Bu
We show how all eigenvalues of a power hypergraph can be generated from the eigenvalues of signed subgraphs of the underlying graph . This fixes an incorrect statement…
math.CO2022
Signless Laplacian Estrada index and Laplacian Estrada index of uniform hypergraphs
Cunxiang Duan, Edwin R. van Dam, Ligong Wang
We generalize the notions of Laplacian and signless Laplacian Estrada index to uniform hypergraphs. For an -uniform hypergraph we derive an order trace formula of the…
math.CO2022
Pseudo-Geometric Strongly Regular Graphs with a Regular Point
Edwin van Dam, Krystal Guo
We study pseudo-geometric strongly regular graphs whose second subconstituent with respect to a vertex is a cover of a strongly regular graph or a complete graph. By studying the s…