Which of these shapes are topologically equivalent?

http://takeexam.next.ecollege.com/ec/pub/K12Content/Courses/resources/swfs/media/Ninth_Grade/Math/Unit7466/Lesson43518/VHS_GMT_S2_06_08_MUT2.jpg

A. 1 and 2 only

B. 3 and 4 only

C. 1, 3, and 4 only

D. All are topologically equivalent.

Question

Which of these shapes are topologically equivalent?

http://takeexam.next.ecollege.com/ec/pub/K12Content/Courses/resources/swfs/media/Ninth_Grade/Math/Unit7466/Lesson43518/VHS_GMT_S2_06_08_MUT2.jpg

A. 1 and 2 only

B. 3 and 4 only

C. 1, 3, and 4 only

D.  All are topologically equivalent.

anonymous · Answer

I have another question.     

 What types of paths or circuits does the graph have?
Euler paths and circuits

       Euler paths, but no Euler circuit

       Hamiltonian circuits

       No Hamiltonian circuits or Euler paths