16. choose from one of the following answers and provide a short explanation for your answer...

     

Transcribed Image Text:

16. choose from one of the following answers and provide a short explanation for your answer using Euler's theorems. (A) the graph has an Euler circuit. (B) the graph has an Euler path. (C) the graph has neither an Euler circuit nor an Euler path. (D) the graph may or may not have an Euler circuit. (E) the graph may or may not have an Euler path. (F) there is no such graph. 29. (a) Fig. 5-41(a) (b) Fig. 5-41(b) (c) A connected graph with eight vertices, all of degree 2 (d) A graph with 8 vertices, all of degree 2. (Hint: See Exercise 9). (e) A connected graph with eight vertices: three vertices of degree 2 and five vertices of degree 3. 4 (a) FIGURE 5-41 (b) 16. choose from one of the following answers and provide a short explanation for your answer using Euler's theorems. (A) the graph has an Euler circuit. (B) the graph has an Euler path. (C) the graph has neither an Euler circuit nor an Euler path. (D) the graph may or may not have an Euler circuit. (E) the graph may or may not have an Euler path. (F) there is no such graph. 29. (a) Fig. 5-41(a) (b) Fig. 5-41(b) (c) A connected graph with eight vertices, all of degree 2 (d) A graph with 8 vertices, all of degree 2. (Hint: See Exercise 9). (e) A connected graph with eight vertices: three vertices of degree 2 and five vertices of degree 3. 4 (a) FIGURE 5-41 (b)