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math.SP2024
Arbitrary Spectral Edge of Regular Graphs
Dingding Dong, Theo McKenzie
We prove that for each and , the set of limit points of the first eigenvalues of sequences of -regular graphs is \[ \{(μ_1,\dots,μ_k): d=μ_1\geq \dots\geq…
math.CO2024
Structure of tight (k,0)-stable graphs
Dingding Dong, Sammy Luo
We say that a graph G is -stable if removing vertices from it reduces its independence number by at most . We say that G is tight -stable if it is $(k…