What is an Incidence Matrix?
An incidence matrix is a rectangular matrix with dimensions (V x E), where:
- V is the number of vertices in the graph.
- E is the number of edges in the graph.
Each element a_ij of the matrix represents the connection between the i-th vertex and the j-th edge:
- aij = 1 if the i-th vertex is incident to the j-th edge (i.e., the edge connects to the vertex).
- aij = 0 if the i-th vertex is not incident to the j-th edge.
Incidence Matrix in Python
In graph theory, an incidence matrix is a matrix that shows the relationship between vertices and edges in a graph. This matrix is a fundamental tool used in various applications, including network analysis, circuit design, and computer science. This article will cover the basics of incidence matrices, how to create and manipulate them using Python.
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