4. Let G = (V, E) be a graph with n vertices and m edges with no loops. How many l's does the incidence matrix have in it? Justify your answer.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.7: Applications
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Please answer number 4

4. Let G = (V, E) be a graph with n vertices and m edges with no loops. How many l's does
the incidence matrix have in it? Justify your answer.
%3D
5. Draw a connected bipartite graph G = (V, E) such that its bipartition V1, V2 has |Vi = 5 and
|V2 = 4 and deg(a) < 3 for all a e V.
(a) Determine how many cut vertices and how many cut edges G has.
Transcribed Image Text:4. Let G = (V, E) be a graph with n vertices and m edges with no loops. How many l's does the incidence matrix have in it? Justify your answer. %3D 5. Draw a connected bipartite graph G = (V, E) such that its bipartition V1, V2 has |Vi = 5 and |V2 = 4 and deg(a) < 3 for all a e V. (a) Determine how many cut vertices and how many cut edges G has.
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