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math.CO2023
Matching extension and distance spectral radius
Yuke Zhang, Edwin R. van Dam
A graph is called -extendable if each -matching can be extended to a perfect matching. We give spectral conditions for the -extendability of graphs and bipartite graphs us…
math.CO2023
Spectra of power hypergraphs and signed graphs via parity-closed walks
Lixiang Chen, Edwin R. van Dam, Changjiang Bu
The -power hypergraph is the -uniform hypergraph that is obtained by adding new vertices to each edge of a graph , for . A parity-closed walk in…