39 citations · 62 across the 3 of their papers we have counts for
3 papers
math.CO2017★ 1 cited
Graham's pebbling conjecture on Cartesian product of the middle graphs of even cycles
Zheng-Jiang Xia, Yong-Liang Pan, Jun-Ming Xu +1
A pebbling move on a graph consists of taking two pebbles off one vertex and placing one on an adjacent vertex. The pebbling number of a graph , denoted by , is the le…
math.CO2015★ 22 cited
Graphs with three eigenvalues and second largest eigenvalue at most 1
Xi-Ming Cheng, Gary R. W. Greaves, Jack H. Koolen
We classify the connected graphs with precisely three distinct eigenvalues and second largest eigenvalue at most 1.
math.CO2014★ 39 cited
Biregular graphs with three eigenvalues
Xi-Ming Cheng, Alexander L. Gavrilyuk, Gary R. W. Greaves +1
We consider nonregular graphs having precisely three distinct eigenvalues. The focus is mainly on the case of graphs having two distinct valencies and our results include construct…