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Refer to the undirected graph provided below: B G What is the maximum length of a path in the graph? Give an example of a path of that length. What is the maximum length of a cycle in the graph? Give an examnple of a cycle of that length. Give an example of an open walk of length five in the graph that is a trail but not a path.

Refer to the undirected graph provided below: B G What is the maximum length of a path in the graph? Give an example of a path of that length. What is the maximum length of a cycle in the graph? Give an examnple of a cycle of that length. Give an example of an open walk of length five in the graph that is a trail but not a path.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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**Undirected Graph Exploration** **Graph Description:** The diagram provided is an undirected graph consisting of vertices labeled A, B, C, D, E, F, G, H, and I, with edges connecting them as follows: - Edges: AB, AD, AE, AG, BC, BG, DE, EF, FG, GH, HI, IC **Questions and Tasks:** 1. **Maximum Length of a Path:** - **Prompt:** What is the maximum length of a path in the graph? Give an example of a path of that length. 2. **Maximum Length of a Cycle:** - **Prompt:** What is the maximum length of a cycle in the graph? Give an example of a cycle of that length. 3. **Open Walk Example:** - **Prompt:** Give an example of an open walk of length five in the graph that is a trail but not a path. 4. **Closed Walk Example:** - **Prompt:** Give an example of a closed walk of length four in the graph that is not a circuit. 5. **Circuit Example:** - **Prompt:** Give an example of a circuit of length zero in the graph. These tasks invite students to engage with the concepts of paths, cycles, walks, trails, and circuits, testing their understanding of graph theory through practical examples.
Transcribed Image Text:**Undirected Graph Exploration** **Graph Description:** The diagram provided is an undirected graph consisting of vertices labeled A, B, C, D, E, F, G, H, and I, with edges connecting them as follows: - Edges: AB, AD, AE, AG, BC, BG, DE, EF, FG, GH, HI, IC **Questions and Tasks:** 1. **Maximum Length of a Path:** - **Prompt:** What is the maximum length of a path in the graph? Give an example of a path of that length. 2. **Maximum Length of a Cycle:** - **Prompt:** What is the maximum length of a cycle in the graph? Give an example of a cycle of that length. 3. **Open Walk Example:** - **Prompt:** Give an example of an open walk of length five in the graph that is a trail but not a path. 4. **Closed Walk Example:** - **Prompt:** Give an example of a closed walk of length four in the graph that is not a circuit. 5. **Circuit Example:** - **Prompt:** Give an example of a circuit of length zero in the graph. These tasks invite students to engage with the concepts of paths, cycles, walks, trails, and circuits, testing their understanding of graph theory through practical examples.
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