For the following questions, let V be the set of vertices in the graph below, and let E be the set of edges. Answer the following questions 1- a f m be e 'n p. 1. Write V in roster form. 2. Compute |EJ. 3. Let R = {x E V there is a path from a to x}. Write R' in roster form. 4. Let D3 = {x E V|x has degree 3} and let T = {x € V|x is part of a triangular subgraph}. Does D3 = T? Prove or disprove. 5. Let D4 = {x € V|x has degree 4}. Write D4 U (D3NT) in roster form. 6. Write R in terms of D3 and D4.

For the following questions, let V be the set of vertices in the graph below, and let E be the set of edges. Answer the following questions 1- a f m be e 'n p. 1. Write V in roster form. 2. Compute |EJ. 3. Let R = {x E V there is a path from a to x}. Write R' in roster form. 4. Let D3 = {x E V|x has degree 3} and let T = {x € V|x is part of a triangular subgraph}. Does D3 = T? Prove or disprove. 5. Let D4 = {x € V|x has degree 4}. Write D4 U (D3NT) in roster form. 6. Write R in terms of D3 and D4.

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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