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math.CO2021
The spectral radius of graphs with no odd wheels
Sebastian Cioabă, Dheer Noal Desai, Michael Tait
The odd wheel is the graph formed by joining a vertex to a cycle of length . In this paper, we investigate the largest value of the spectral radius of the adjacency…
math.CO2021
Extremal Graphs for a Spectral Inequality on Edge-Disjoint Spanning Trees
Sebastian M. Cioabă, Anthony Ostuni, Davin Park +3
Liu, Hong, Gu, and Lai proved if the second largest eigenvalue of the adjacency matrix of graph with minimum degree satisfies ,…
math.CO2021
On the eigenvalues of Grassmann graphs, Bilinear forms graphs and Hermitian forms graphs
Sebastian M. Cioabă, Himanshu Gupta
Recently, Brouwer, Cioabă, Ihringer and McGinnis obtained some new results involving the eigenvalues of various graphs coming from association schemes and posed some conjectures re…