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4. (a) Given the digraph G = (V, E) below, list out V and E. V₁ JS Ju (b) Given the digraph G = (V, E) below, list out V and E. ZI OF G J3 (c) Given the digraph G = (V, E) below, list out V and E. ка Gvs 74 as V4

4. (a) Given the digraph G = (V, E) below, list out V and E. V₁ JS Ju (b) Given the digraph G = (V, E) below, list out V and E. ZI OF G J3 (c) Given the digraph G = (V, E) below, list out V and E. ка Gvs 74 as V4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**4. (a) Given the digraph \( G = (V, E) \) below, list out \( V \) and \( E \).** **Diagram Description:** - The digraph consists of five vertices labeled \( v_1, v_2, v_3, v_4, v_5 \). - There are directed edges connecting \( v_1 \to v_2 \), \( v_2 \to v_3 \), \( v_3 \to v_4 \), \( v_4 \to v_5 \), \( v_5 \to v_1 \), and there is a loop at \( v_2 \) \( (v_2 \to v_2) \). **Vertices \( V \):** \( \{ v_1, v_2, v_3, v_4, v_5 \} \) **Edges \( E \):** \( \{ (v_1, v_2), (v_2, v_3), (v_3, v_4), (v_4, v_5), (v_5, v_1), (v_2, v_2) \} \) --- **4. (b) Given the digraph \( G = (V, E) \) below, list out \( V \) and \( E \).** **Diagram Description:** - The digraph consists of four vertices labeled \( z_1, z_2, z_3, z_4 \). - Directed edges are present as follows: \( z_1 \to z_2 \), \( z_1 \to z_3 \), \( z_1 \to z_4 \), a loop at \( z_2 \) \( (z_2 \to z_2) \). **Vertices \( V \):** \( \{ z_1, z_2, z_3, z_4 \} \) **Edges \( E \):** \( \{ (z_1, z_2), (z_1, z_3), (z_1, z_4), (z_2, z_2) \} \) --- **4. (c) Given the digraph \( G = (V, E) \) below, list out \( V \) and \( E \).
Transcribed Image Text:**4. (a) Given the digraph \( G = (V, E) \) below, list out \( V \) and \( E \).** **Diagram Description:** - The digraph consists of five vertices labeled \( v_1, v_2, v_3, v_4, v_5 \). - There are directed edges connecting \( v_1 \to v_2 \), \( v_2 \to v_3 \), \( v_3 \to v_4 \), \( v_4 \to v_5 \), \( v_5 \to v_1 \), and there is a loop at \( v_2 \) \( (v_2 \to v_2) \). **Vertices \( V \):** \( \{ v_1, v_2, v_3, v_4, v_5 \} \) **Edges \( E \):** \( \{ (v_1, v_2), (v_2, v_3), (v_3, v_4), (v_4, v_5), (v_5, v_1), (v_2, v_2) \} \) --- **4. (b) Given the digraph \( G = (V, E) \) below, list out \( V \) and \( E \).** **Diagram Description:** - The digraph consists of four vertices labeled \( z_1, z_2, z_3, z_4 \). - Directed edges are present as follows: \( z_1 \to z_2 \), \( z_1 \to z_3 \), \( z_1 \to z_4 \), a loop at \( z_2 \) \( (z_2 \to z_2) \). **Vertices \( V \):** \( \{ z_1, z_2, z_3, z_4 \} \) **Edges \( E \):** \( \{ (z_1, z_2), (z_1, z_3), (z_1, z_4), (z_2, z_2) \} \) --- **4. (c) Given the digraph \( G = (V, E) \) below, list out \( V \) and \( E \).
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