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math.CO2026
The Pentagon Graph Operator
Severino V. Gervacio, Hiroshi Maehara, Phoebe Chloe Ramos
For a graph , let denote the graph whose vertices are the induced -cycles of , where two vertices are adjacent whenever the corresponding cycles share a…
math.CO2026
On identity Seidel switches
Severino V. Gervacio
Seidel switching is a classical operation on graphs which plays a central role in the theory of two-graphs, signed graphs, and switching classes. In this paper we focus on those sw…