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Z X Requirements: ✓Give the vertex set Give the edge list Give the degree of each vertex Give the vertex or vertices that are adjacent to vertex A ✓ Draw a version of the graph without crossing points

Z X Requirements: ✓Give the vertex set Give the edge list Give the degree of each vertex Give the vertex or vertices that are adjacent to vertex A ✓ Draw a version of the graph without crossing points

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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Problem 3. Determine the unknowns or requirements for each graph. If the requirement is a trace or traversal of a walk, trail, path, cycle, tour, or circuit and the way on how the answer is suppose to be written is not stated; state your answer by listing the sequence of the Nodes / Vertices that shows the trace or traversal (see the example below). Example 107: A HAS a. ✓ ✓ X Requirements: G₁ The trail d-a-b-c-d-b of G₁ is an Euler trail. G₁ has a tour d-a-b-c-d-b-d but it is not an Euler tour. G₂ has an Euler tour B-A-C-E-D-C-B hence is an Euler graph. B G₂ Give the vertex set Give the edge list Give the degree of each vertex Give the vertex or vertices that are adjacent to vertex A Draw a version of the graph without crossing points D
Transcribed Image Text:Problem 3. Determine the unknowns or requirements for each graph. If the requirement is a trace or traversal of a walk, trail, path, cycle, tour, or circuit and the way on how the answer is suppose to be written is not stated; state your answer by listing the sequence of the Nodes / Vertices that shows the trace or traversal (see the example below). Example 107: A HAS a. ✓ ✓ X Requirements: G₁ The trail d-a-b-c-d-b of G₁ is an Euler trail. G₁ has a tour d-a-b-c-d-b-d but it is not an Euler tour. G₂ has an Euler tour B-A-C-E-D-C-B hence is an Euler graph. B G₂ Give the vertex set Give the edge list Give the degree of each vertex Give the vertex or vertices that are adjacent to vertex A Draw a version of the graph without crossing points D
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