2. Draw the graph K4, label all its vertices, then write its adjacency matrix.
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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![2. Draw the graph \( K_4 \), label all its vertices, then write its adjacency matrix.
3. Draw a simple connected bipartite graph \( G = (V, E) \) such that its bipartition \( V_1, V_2 \) has \(|V_1| = 5\) and \(|V_2| = 4\) and \(\text{deg}(a) \leq 3\) for all \( a \in V \). How many 1’s does the incidence matrix have in it? No need to justify.
4. Let \( G = (V, E) \) be a graph with \( n \) vertices and \( m \) edges with no loops. How many 1’s does the incidence matrix have?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6550f6f6-7442-466d-86f7-12e7dd1263c9%2F211d0cf1-bf21-474c-9268-068eb9811a87%2Fs9obyn4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Draw the graph \( K_4 \), label all its vertices, then write its adjacency matrix.
3. Draw a simple connected bipartite graph \( G = (V, E) \) such that its bipartition \( V_1, V_2 \) has \(|V_1| = 5\) and \(|V_2| = 4\) and \(\text{deg}(a) \leq 3\) for all \( a \in V \). How many 1’s does the incidence matrix have in it? No need to justify.
4. Let \( G = (V, E) \) be a graph with \( n \) vertices and \( m \) edges with no loops. How many 1’s does the incidence matrix have?
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