Complex Networks: A Networking and Signal Processing Perspective

Notation

The following list summarizes the notation used in this textbook.

x	A scalar
x	A vector
X	A matrix
X^T	Transpose of matrix X
X^H	Hermitian transpose of matrix X
I	Identity matrix
\|x\|	Absolute value of x
x^∗	Complex conjugate of x
\|\|x\|\|_p	ℓ_p-norm of vector x
$⟨ 𝐱, 𝐲 ⟩$	Inner product of vectors x and y
$ℝ$	Set of real numbers
$ℤ^{+}$	Set of integer numbers excluding zero
$ℂ$	Set of complex numbers
$ℝ^{n}$	Real n-length vectors
$ℂ^{n}$	Complex n-length vectors
$ℝ^{m \times n}$	Real m × n matrices
$ℂ^{m \times n}$	Complex m × n matrices
$𝒢$	An arbitrary graph
$𝒱$	Set of vertices in a graph
ε	Set of edges in a graph
A	Adjacency matrix
C	Incidence matrix
D	Degree matrix
L	Laplacian matrix
W	Weight matrix
ω_ij	Weight of the edge from node ...

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