2 papers
math.CO2023
On the relationship between shortlex order and -spectral radii of graphs with starlike branch tree
Haiying Shan, Muhuo Liu
Let denote the set of all partitions of , whose elements are nondecreasing sequences of positive integers whose sum is . For ${\bf a}=( n_{1}, n_{2},\ldots, n_{d}) \in…
math.CO2022
Extremal problems on planar graphs without k edge-disjoint cycles
Zhai Mingqing, Liu Muhuo
In the 1960s, Erdős and his cooperators initiated the research of the maximum numbers of edges in a graph or a planar graph on vertices without edge-disjoint cycles. This p…