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Which of the following paths is an Eulerian path for the given graph?   BECAFD BECDFACD BECDFAC none of these

Which of the following paths is an Eulerian path for the given graph?   BECAFD BECDFACD BECDFAC none of these

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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  1. Which of the following paths is an Eulerian path for the given graph?

 

  1. BECAFD
  2. BECDFACD
  3. BECDFAC
  4. none of these
This diagram is an undirected graph consisting of six vertices labeled A, B, C, D, E, and F, and eight edges connecting these vertices. Here's a detailed explanation of the graph: - Vertex A is connected to vertices C and B. - Vertex B is connected to vertices A, D, and F. - Vertex C is connected to vertices A, D, and E. - Vertex D is connected to vertices B and C. - Vertex E is connected to vertices C and F. - Vertex F is connected to vertices E and B. The graph features: - A path from C to D passing through vertices A and B. - A path from C to D passing through vertices E and F, creating a parallel structure with the top path. - The graph demonstrates the concept of parallel paths and can be used to explore connectivity, pathfinding, or network analysis.
Transcribed Image Text:This diagram is an undirected graph consisting of six vertices labeled A, B, C, D, E, and F, and eight edges connecting these vertices. Here's a detailed explanation of the graph: - Vertex A is connected to vertices C and B. - Vertex B is connected to vertices A, D, and F. - Vertex C is connected to vertices A, D, and E. - Vertex D is connected to vertices B and C. - Vertex E is connected to vertices C and F. - Vertex F is connected to vertices E and B. The graph features: - A path from C to D passing through vertices A and B. - A path from C to D passing through vertices E and F, creating a parallel structure with the top path. - The graph demonstrates the concept of parallel paths and can be used to explore connectivity, pathfinding, or network analysis.
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Step 1

In graph hypothesis, an Eulerian trail (or Eulerian way) is a path in a limited graph that visits each edge precisely once (considering returning to vertices). Additionally, an Eulerian circuit or Eulerian cycle is an Eulerian trail that beginnings and closures on a similar vertex.

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