activity
20172020
most citedSufficient conditions for graphs to be -connected, maximally connected and super-connected

2 citations · 2 across the 3 of their papers we have counts for

collaborators

5 papers

math.CO2020

Connectivity and eigenvalues of graphs with given girth or clique number

Zhen-Mu Hong, Hong-Jian Lai, Zheng-Jiang Xia

Let , , and denote the edge-connectivity, vertex-connectivity, the algebraic connectivity and the Laplacian spectral radius of , respectively.…

math.CO2019

A note on the optimal rubbling in ladders and prisms

Zheng-Jiang Xia, Zhen-Mu Hong

A pebbling move on a graph G consists of the removal of two pebbles from one vertex and the placement of one pebble on an adjacent vertex. Rubbling is a version of pebbling where a…

math.CO2019

A spectral characterization of the -clique extension of the triangular graphs

Ying-Ying Tan, Jack H. Koolen, Zheng-Jiang Xia

A regular graph is co-edge regular if there exists a constant such that any two distinct and non-adjacent vertices have exactly common neighbors. In this paper, we show tha…

math.CO2019

Generalization of the cover pebbling number on trees

Zheng-Jiang Xia, Zhen-Mu Hong

A pebbling move on a graph consists of taking two pebbles off from one vertex and add one pebble on an adjacent vertex, the -pebbling number of a graph is the minimum number…

math.CO20172 cited

Sufficient conditions for graphs to be -connected, maximally connected and super-connected

Zhen-Mu Hong, Zheng-Jiang Xia, Fuyuan Chen +1

Let be a connected graph with minimum degree and vertex-connectivity . The graph is -connected if , maximally connected if , and su…