1. Oct. 2014 G. R. Omidi Isfahan University of Technology and IPM

2. v6 v1 v2 v3 v4 v5 e2 e3 e4 e5 e1

3. v6 v1 v2 v3 v4 v5 e2 e3 e4 e6 e1 e5

7. v1 v2 v3 v4 v1 v2 v4 v3

8. {1,2,3}{1,2,3} {2,3,4}{2,3,4} {1,3,4}{1,3,4} {3,4,5}{3,4,5} {2,4,5}{2,4,5} {1,2,5}{1,2,5} {1,4,5}{1,4,5} {1,2,4}{1,2,4} {1,3,5}{1,3,5} {2,3,5}{2,3,5} v1 v2 v5 v3 v4 v1 v2 v4v3 {b}{b} {b,r}{b,r} v5 {b,r}{b,r} {b,r}{b,r} {b,r}{b,r} {b,r}{b,r} {b,r}{b,r} {b,r}{b,r} {b}{b} {r}{r} n=5 r=3 r-1=2

9. {1,2,3}{1,2,3} {2,3,4}{2,3,4} {1,3,4}{1,3,4} {3,4,5}{3,4,5} {2,4,5}{2,4,5} {1,2,5}{1,2,5} {1,4,5}{1,4,5} {1,2,4}{1,2,4} {1,3,5}{1,3,5} {2,3,5}{2,3,5} v1 v2 v4v3 {b}{b} {r}{r} v5 {b}{b} {r}{r} {r}{r} {b}{b} {r}{r} {r}{r} {b}{b} {r}{r} v1 v2 v5 v3 v4

10. {1,2,3}{1,2,3} {2,3,4}{2,3,4} {1,3,4}{1,3,4} {3,4,5}{3,4,5} {2,4,5}{2,4,5} {1,2,5}{1,2,5} {1,4,5}{1,4,5} {1,2,4}{1,2,4} {1,3,5}{1,3,5} {2,3,5}{2,3,5} v1 v2 v4 v3 {b}{b} {r}{r} v5 {b}{b} {r}{r} {r}{r} {r}{r} {r}{r} {r}{r} {r}{r} {r}{r} v1 v2 v3 v5 v4

11. {1,2,3}{1,2,3} {2,3,4}{2,3,4} {1,3,4}{1,3,4} {3,4,5}{3,4,5} {2,4,5}{2,4,5} {1,2,5}{1,2,5} {1,4,5}{1,4,5} {1,2,4}{1,2,4} {1,3,5}{1,3,5} {2,3,5}{2,3,5} v1 v5 v4 v2 v3 e1 e2 e3 e4 e5 v1 v2 v4 v3 {b}{b} {r}{r} v5 {b}{b} {r}{r} {r}{r} {r}{r} {r}{r} {r}{r} {r}{r} {r}{r}

14. f=2 {1,2} {1,2,3} {2,3} {1}{1} {1,2,3} {1,2}... r=5 r-1=4 f=0,…,3

16. v3 vi vn-1 vn vi+1 f3 fn-1 fi v2 v1 f1 f2 fn