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math.CO2025
Girth and Laplacian eigenvalue distribution
Leyou Xu, Bo Zhou
Let be a connected graph of order with girth . For , let be the number of Laplacian eigenvalues (counting multiplicities) of tha…
math.CO2025
Cycles and paths through specified vertices in graphs with a given clique number
Chengli Li, Leyou Xu
B. Bollobás and G. Brightwell and independently R. Shi proved the existence of a cycle through all vertices whose degrees at least in any -connected graph of order…