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Page HOMEWORK 1) Refer to the following graph to answer the following: a) Give the number of vertices. b) Give the number of edges. c) Find two paths from C to A of length 4 (edges). d) Find two paths from C to A of length 3 (edges). e) Find two circuits starting and ending at B of length 4 (edges). 2) Refer to the following graph to answer the foll al Give of 4 B A LU

Page HOMEWORK 1) Refer to the following graph to answer the following: a) Give the number of vertices. b) Give the number of edges. c) Find two paths from C to A of length 4 (edges). d) Find two paths from C to A of length 3 (edges). e) Find two circuits starting and ending at B of length 4 (edges). 2) Refer to the following graph to answer the foll al Give of 4 B A LU

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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**Homework Assignment: Euler Circuits** **Question 1: Refer to the following graph to answer the following:** a) Give the number of vertices. b) Give the number of edges. c) Find two paths from \( C \) to \( A \) of length 4 (edges). d) Find two paths from \( C \) to \( A \) of length 3 (edges). e) Find two circuits starting and ending at \( B \) of length 4 (edges). *Graph Description:* - The graph is a hexagon with vertices labeled \( A, B, C, D, E, F \). - Various connections (edges) exist between these vertices, creating a complex, interconnected shape. **Question 2: Refer to the following graph to answer the following:** a) Give the number of vertices. b) Give the number of edges. c) Give the degree of each vertex. d) Label the vertices. List the fewest edges that must be added to make the graph connected. *Graph Description:* - The graph appears to be a rectangular grid. - Several vertices are connected with edges forming a network of quadrilaterals. Both graphs require analysis to determine vertex count, edge count, and specific path/circuit configurations as specified in the questions.
Transcribed Image Text:**Homework Assignment: Euler Circuits** **Question 1: Refer to the following graph to answer the following:** a) Give the number of vertices. b) Give the number of edges. c) Find two paths from \( C \) to \( A \) of length 4 (edges). d) Find two paths from \( C \) to \( A \) of length 3 (edges). e) Find two circuits starting and ending at \( B \) of length 4 (edges). *Graph Description:* - The graph is a hexagon with vertices labeled \( A, B, C, D, E, F \). - Various connections (edges) exist between these vertices, creating a complex, interconnected shape. **Question 2: Refer to the following graph to answer the following:** a) Give the number of vertices. b) Give the number of edges. c) Give the degree of each vertex. d) Label the vertices. List the fewest edges that must be added to make the graph connected. *Graph Description:* - The graph appears to be a rectangular grid. - Several vertices are connected with edges forming a network of quadrilaterals. Both graphs require analysis to determine vertex count, edge count, and specific path/circuit configurations as specified in the questions.
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