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The column sum in an incidence matrix for a directed graph having no self loop is __________?Group of answer choices012equal to the number of edges

Question

The column sum in an incidence matrix for a directed graph having no self loop is __________?Group of answer choices012equal to the number of edges

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Solution

The column sum in an incidence matrix for a directed graph having no self loop is equal to the number of edges.

Here's why:

  1. An incidence matrix is a matrix that shows the relationship between two classes of objects. If the first class is 'nodes' and the second class is 'edges', then the incidence matrix is a 'node-edge' matrix.

  2. In a directed graph, each edge has a direction, from one node to another.

This problem has been solved

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