2 research outputs found
Walks on Unitary Cayley Graphs and Applications
In this paper, we determine an explicit formula for the number of walks in
, the unitary Cayley Graphs of
order , between any pair of its vertices. With this result, we give the
number of representations of a fixed residue class as the sum of
units of
Arbitrary positive powers of semicirculant and r-circulant matrices
We provide a novel recursive method, which does not require any assumption,
to compute the entries of the kth power of a semicirculant matrix. As an
application, a method for computing the entries of the kth power of r-circulant
matrices is also presented.Comment: 16 pages; typos correcte