Liping Huang

collaborators

3 papers

math.CO2017

Generalized bilinear forms graphs and MDR codes

Li-Ping Huang

We investigate the generalized bilinear forms graph $Γ_{d}$ over a residue class ring $Z_{p^{s}}$ . We show that $Γ_{d}$ is a connected vertex transitive graph, and completely de…

math.CO2017

Vector spaces and Grassmann graphs over residue class rings

Li-Ping Huang, Benjian Lv, Kaishun Wang

Let $Z_{p^{s}}$ be the residue class ring of integers modulo $p^{s}$ , where $p$ is a prime number and $s$ is a positive integer. Using matrix representation and the inner rank…

math.CO2017

Graph homomorphisms on rectangular matrices over division rings II

Li-Ping Huang, Kang Zhao

Let $D^{m \times n}$ be the set of $m \times n$ matrices over a division ring $D$ . Two matrices $A, B \in D^{m \times n}$ are adjacent if ${\rm rank}(A-B)…