21 citations · 29 across the 10 of their papers we have counts for
11 papers
Vertex-transitive Neumaier graphs
Mojtaba Jazaeri
A graph is called edge-regular whenever it is regular and for any two adjacent vertices, the number of their common neighbors is independent of the choice of vertices. A clique…
On -polynomial distance-regular graphs with a linear dependency involving a -clique
Mojtaba Jazaeri
Let denote a distance-regular graph with diameter . Let denote a primitive idempotent of with respect to which is -polynomial. Assume that there exists…
Neumaier Cayley graphs
Mojtaba Jazaeri
A Neumaier graph is a non-complete edge-regular graph with the property that it has a regular clique. In this paper, we study Neumaier Cayley graphs. We give a necessary and suffic…
Distance-regular graphs admitting a perfect -code
Mojtaba Jazaeri
In this paper, we study the problem that which of distance-regular graphs admit a perfect -code. Among other results, we characterize distance-regular line graphs which admit a…
Self-complementary distance-regular Cayley graphs over abelian groups
Mojtaba Jazaeri
In this paper, we study self-complementary distance-regular Cayley graphs over abelian groups. We prove that if a regular graph is self-complementary distance-regular, then it is s…
On bipartite distance-regular Cayley graphs with small diameter
Edwin R. van Dam, Mojtaba Jazaeri
We study bipartite distance-regular Cayley graphs with diameter three or four. We give sufficient conditions under which a bipartite Cayley graph can be constructed on the semidire…
On bipartite distance-regular Cayley graphs with diameter
Mojtaba Jazaeri
In this paper, we show that every bipartite distance-regular Cayley graph with diameter can be constructed on the semidirect product of a group and , except pos…
Distance-regular Cayley graphs with small valency
Edwin R. van Dam, Mojtaba Jazaeri
We consider the problem of which distance-regular graphs with small valency are Cayley graphs. We determine the distance-regular Cayley graphs with valency at most , the Cayley…
Distance-regular Cayley graphs with least eigenvalue
Alireza Abdollahi, Edwin van Dam, Mojtaba Jazaeri
We classify the distance-regular Cayley graphs with least eigenvalue and diameter at most three. Besides sporadic examples, these comprise of the lattice graphs, certain trian…
Groups all of whose undirected Cayley graphs are determined by their spectra
Alireza Abdollahi, Shahrooz Janbaz, Mojtaba Jazaeri
Let be a finite group, and be a subset of such that . Suppose that is the Cayley graph on with respect to the set which is th…
Groups all of whose undirected Cayley graphs are integral
Alireza Abdollahi, Mojtaba Jazaeri
Let be a finite group, be a set such that if , then , where denotes the identity element of . The undirected Cayley gra…