5 papers
The cyclic diagnosability of Cayley graphs generated by transposition triangle-free unicyclic graphs under the PMC and MM* models
Jialu Ding, Caixia Li, Pingshan Li +1
Diagnosability is a critical parameter for evaluating the reliability and self-diagnostic capacity of multiprocessor systems. As an advanced extension of traditional diagnosability…
Classification of two-distance-transitive Cayley graphs of the semi-dihedral groups
Wei Jin, Cai Xia Li, Ping Shan Li
The class of 2-distance-transitive graphs naturally generalizes distance-transitive graphs and plays a central role in algebraic graph theory. Classifying such graphs for a prescri…
A classification of locally-quasiprimitive circulant digraphs
Wei Jin, Yu Xiang Jin, Cai Xia Li +1
Circulant digraphs are Cayley digraphs over finite cyclic groups and constitute a fundamental class of objects in algebraic graph theory. Extending the classification of locally-pr…
Amply regular graphs with close to half the valency and group divisible designs
Wei Jin, Jack H. Koolen, Chenhui Lv
In this paper, we classify connected amply regular graphs with diameter and parameters satisfying , where is odd. We prove…
A classification of two-distance-transitive Cayley graphs over the generalized quaternion groups
Wei Jin, Pingshan Li, Li Tan
A non-complete graph is \emph{-distance-transitive} if, for and for any two vertex pairs and with the same distance in the graph, there exist…