1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CO2020★ 1 cited
Eigenvalues of graphs and spectral Moore theorems
Sebastian M. Cioabă
In this paper, we describe some recent spectral Moore theorems related to determining the maximum order of a connected graph of given valency and second eigenvalue. We show how the…
math.CO2018
The second eigenvalue of some normal Cayley graphs of high transitive groups
Xueyi Huang, Qiongxiang Huang, Sebastian M. Cioabă
Let be a finite group acting transitively on , and let be a Cayley graph of . The graph is called normal if is closed und…
math.CO2007
The spectral radius and the maximum degree of irregular graphs
Sebastian M. Cioabă
Let be an irregular graph on vertices with maximum degree and diameter . We show that Δ-λ_1>\frac{1}{nD} where is the largest eigenvalue of the adjacency matri…