8 citations · 8 across the 7 of their papers we have counts for
7 papers
The structure of a finite group and the maximum -index of its elements
A-Ming Liu, Andrey V. Vasil'ev
Given a set of primes , the -index of an element of a finite group is the -part of the index of the centralizer of in . If is a singleton, we just…
A contribution to the theory of -properties of a finite group
A-Ming Liu, Wenbin Guo, Vasily G. Safonov +1
We characterize some classes of finite soluble groups. In particular, we prove that: a finite group is supersoluble if and only if has a normal subgroup such that …
The spectral radius of minor free graphs
Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang
In this paper, we present a sharp upper bound for the spectral radius of an -vertex graph without -minor for sufficient large , where is obtained from the complete gra…
On the -spectral radius of graphs without linear forests
Ming-Zhu Chen, A-Ming Liu, Xiao-Dong Zhang
Let and be the adjacency and degree matrices of a simple graph on vertices, respectively. The \emph{-spectral radius} of is the largest eigenvalue of…
A construction of sequentially Cohen-Macaulay graphs
A-Ming Liu, Tongsuo Wu
For every simple graph , a class of multiple clique cluster-whiskered graphs is introduced, and it is shown that all graphs are vertex decomposable, thus the i…
Boolean graphs are unmixed and vertex decomposable
A-Ming Liu, Tongsuo Wu
For each Boolean graph , it is proved that both and its complement graph are vertex decomposable. It is also proved that is an unmixed graph, thus…
Minimal free resolution of a graded ideal with linear quotients
A-Ming Liu, Tongsuo Wu
Let be a graded ideal of generated by homogeneous polynomials of a same degree , and assume that has linear quotients. In this note, we use Horseshoe…