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Assume you have a graph with vertex set V = {A, B, C, D, E} and edge set E = {CD, CB, DA, DB, EA, AA}. How many paths are there from B to A?

Assume you have a graph with vertex set V = {A, B, C, D, E} and edge set E = {CD, CB, DA, DB, EA, AA}. How many paths are there from B to A?

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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### Graph Theory Problem: Paths in a Graph **Problem Statement:** Assume you have a graph with vertex set \( V = \{A, B, C, D, E\} \) and edge set \( E = \{CD, CB, DA, DB, EA, AA\} \). How many paths are there from B to A? **Options:** - 1 - 4 - none of these are true. - 2 - 0 **Explanation of Graph Structure:** The graph consists of vertices \( A, B, C, D, E \) and edges that connect these vertices as follows: - \( CD \): An edge from vertex \( C \) to \( D \). - \( CB \): An edge from vertex \( C \) to \( B \). - \( DA \): An edge from vertex \( D \) to \( A \). - \( DB \): An edge from vertex \( D \) to \( B \). - \( EA \): An edge from vertex \( E \) to \( A \). - \( AA \): An edge from vertex \( A \) to itself. The objective is to determine how many distinct paths exist from vertex \( B \) to vertex \( A \).
Transcribed Image Text:### Graph Theory Problem: Paths in a Graph **Problem Statement:** Assume you have a graph with vertex set \( V = \{A, B, C, D, E\} \) and edge set \( E = \{CD, CB, DA, DB, EA, AA\} \). How many paths are there from B to A? **Options:** - 1 - 4 - none of these are true. - 2 - 0 **Explanation of Graph Structure:** The graph consists of vertices \( A, B, C, D, E \) and edges that connect these vertices as follows: - \( CD \): An edge from vertex \( C \) to \( D \). - \( CB \): An edge from vertex \( C \) to \( B \). - \( DA \): An edge from vertex \( D \) to \( A \). - \( DB \): An edge from vertex \( D \) to \( B \). - \( EA \): An edge from vertex \( E \) to \( A \). - \( AA \): An edge from vertex \( A \) to itself. The objective is to determine how many distinct paths exist from vertex \( B \) to vertex \( A \).
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