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math.CO2023
Symmetry in complex unit gain graphs and their spectra
Pepijn Wissing, Edwin R. van Dam
Complex unit gain graphs may exhibit various kinds of symmetry. In this work, we explore structural symmetry, spectral symmetry and sign-symmetry in such graphs, and their respecti…
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…