2. Draw the graph K4, label all its vertices, then write its adjacency matrix.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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?
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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