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New Course
Concept
Laplacian Matrix
The
Laplacian matrix
is a representation of a graph that captures the
connectivity and structure
of the graph, and is widely used in fields such as
spectral graph theory
and
network analysis
. It is defined as the difference between the
degree matrix
and the
adjacency matrix
, and its
eigenvalues and eigenvectors
provide valuable insights into properties like connectivity,
spanning trees
, and
clustering within the graph
.
Relevant Degrees
Algebra 100%
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