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The column sum in an incidence matrix for a simple graph is __________

(a) depends on number of edges

(b) always greater than 2

(c) equal to 2

(d) equal to the number of edges

The above asked question is from Incidence Matrix and Graph Structured Stack in section Graph of Data Structures & Algorithms I

I have been asked this question in exam.

1 Answer

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Right option is (c) equal to 2

Easy explanation - For every edge only the vertices with which it is connected would have the value 1 in the matrix, as an edge connects two vertices sum will always be 2.

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