- In
linear algebra, a
circulant matrix is a
square matrix in
which all rows are
composed of the same
elements and each row is
rotated one
element to the...
- In
graph theory, a
circulant graph is an
undirected graph acted on by a
cyclic group of
symmetries which takes any
vertex to any
other vertex. It is sometimes...
-
obtains n × n
matrices as
integration kernels;
convolution corresponds to
circulant matrices.
Although the
properties of
integral transforms vary widely,...
-
Cayley graphs of
cyclic groups with
arbitrary generator sets are
called circulant graphs.
These graphs may be
represented geometrically as a set of equally...
-
coincides with the
matrix itself: A + = A . {\displaystyle A^{+}=A.} For a
circulant matrix C {\displaystyle C} , the
singular value decomposition is given...
-
circulant matrix is
manifestly regular, and
therefore a
circulant Hadamard matrix would have to be of
square order. Moreover, if an n × n
circulant Hadamard...
- "rungs")
connecting opposite pairs of
vertices in the cycle. It is a cubic,
circulant graph, so-named
because (with the
exception of M6 (the
utility graph K3...
- root of 11, the
original DFT
matrix becomes a
circulant matrix.
Multiplying a data
sequence with a
circulant matrix is
equivalent to the
cyclic convolution...
- classified. Two
special (and actually, extreme)
cases of
circulant weighing matrices are (A)
circulant Hadamard matrices which are
conjectured not to exist...
- that are
regular but not
strongly regular are the
cycle graph and the
circulant graph on 6 vertices. The
complete graph Km is
strongly regular for any...
