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math.CO2018
Extremal graphs for vertex-degree-based invariants with given degree sequences
Muhuo Liu, Kexiang Xu, Xiao-Dong Zhang
For a symmetric bivariable function , let the {\it connectivity function} of a connected graph be , where is the degree of…
math.CO2018
Unified spectral hamiltonian results of balanced bipartite graphs and complementary graphs
Muhuo Liu, Yang Wu, Hong-Jian Lai
There have been researches on sufficient spectral conditions for Hamiltonian properties and path-coverable properties of graphs. Utilizing the Bondy-Chvátal closure, we provide a u…