1 citations · 2 across the 5 of their papers we have counts for
5 papers
Two-place Laplacian matching root integral variations are impossible
Sebastian M. Cioabă, Lele Liu, Yi Wang
Wang, Cui, and Cioabă introduced the Laplacian matching root integral variation of a graph and proved that it cannot occur in one place. They also showed that the two-place variati…
On integral variations for roots of the Laplacian matching polynomial of graphs
Yi Wang, Hai-Jian Cui, Sebastian M. Cioabă
In this paper, we study the Laplacian matching polynomial of a graph and the effect of adding edges to a graph on the roots (called Laplacian matching roots) of this polynomial. In…
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…
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…
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…