use the strong decomposition 
programm by doing these steps:

1. unrar file
2  compile with makefile 
3. start with  ./programm <file_directory>

	f.E: ./programm ./exmpl/K2_C4_P3withTriangle.dat

/*the output then is the following:			*/
/*	1. the given graph G					*/
/*	2. the graph G' which aroses from		*/
/*     	   G by exfiltrating the complete	*/
/*         factors of G						*/
/*	3. G/S which is the S-thin graph		*/
/*         arising from G					*/
/*	4. the cartesian skeleton of G/S		*/
/*	5. the prime factors of this cartesian	*/
/*         skeleton (with resp to cartProd)	*/
/*	6. then these factors are combined		*/
/*	   if necessary, i.e. either the 		*/
/*	   product of factors is not  			*/
/*     isomorphic to G/S, or on some 		*/
/*	   vertices								*/
/*	   the number of S-classes is wrong		*/
/*	7. output of coordinization of			*/
/*	   of the vertices of G/S with			*/
/*	   respect to strong Product			*/
/*	8. the prime factors of G with			*/
/*	   respect to strong Product			*/


Please enter Directory and FileName: ./exmpl/K2_C4_P3withTriangle.dat

G:
0 <--> 16 4 20 1 3 17 19 5 7 21 23
1 <--> 17 5 21 0 2 16 18 4 6 20 22
2 <--> 18 6 22 1 3 17 19 5 7 21 23
3 <--> 19 7 23 2 0 18 16 6 4 22 20
4 <--> 20 0 8 12 16 24 28 5 7 21 23 1 3 9 11 13 15 17 19 25 27 29 31
5 <--> 21 1 9 13 17 25 29 4 6 20 22 0 2 8 10 12 14 16 18 24 26 28 30
6 <--> 22 2 10 14 18 26 30 5 7 21 23 1 3 9 11 13 15 17 19 25 27 29 31
7 <--> 23 3 11 15 19 27 31 6 4 22 20 2 0 10 8 14 12 18 16 26 24 30 28
8 <--> 24 4 12 20 28 9 11 25 27 5 7 13 15 21 23 29 31
9 <--> 25 5 13 21 29 8 10 24 26 4 6 12 14 20 22 28 30
10 <--> 26 6 14 22 30 9 11 25 27 5 7 13 15 21 23 29 31
11 <--> 27 7 15 23 31 10 8 26 24 6 4 14 12 22 20 30 28
12 <--> 28 8 4 24 20 13 15 29 31 9 11 5 7 25 27 21 23
13 <--> 29 9 5 25 21 12 14 28 30 8 10 4 6 24 26 20 22
14 <--> 30 10 6 26 22 13 15 29 31 9 11 5 7 25 27 21 23
15 <--> 31 11 7 27 23 14 12 30 28 10 8 6 4 26 24 22 20
16 <--> 0 20 4 17 19 1 3 21 23 5 7
17 <--> 1 21 5 16 18 0 2 20 22 4 6
18 <--> 2 22 6 17 19 1 3 21 23 5 7
19 <--> 3 23 7 18 16 2 0 22 20 6 4
20 <--> 4 16 24 28 0 8 12 21 23 5 7 17 19 25 27 29 31 1 3 9 11 13 15
21 <--> 5 17 25 29 1 9 13 20 22 4 6 16 18 24 26 28 30 0 2 8 10 12 14
22 <--> 6 18 26 30 2 10 14 21 23 5 7 17 19 25 27 29 31 1 3 9 11 13 15
23 <--> 7 19 27 31 3 11 15 22 20 6 4 18 16 26 24 30 28 2 0 10 8 14 12
24 <--> 8 20 28 4 12 25 27 9 11 21 23 29 31 5 7 13 15
25 <--> 9 21 29 5 13 24 26 8 10 20 22 28 30 4 6 12 14
26 <--> 10 22 30 6 14 25 27 9 11 21 23 29 31 5 7 13 15
27 <--> 11 23 31 7 15 26 24 10 8 22 20 30 28 6 4 14 12
28 <--> 12 24 20 8 4 29 31 13 15 25 27 21 23 9 11 5 7
29 <--> 13 25 21 9 5 28 30 12 14 24 26 20 22 8 10 4 6
30 <--> 14 26 22 10 6 29 31 13 15 25 27 21 23 9 11 5 7
31 <--> 15 27 23 11 7 30 28 14 12 26 24 22 20 10 8 6 4


>>> G without complete factors: <<<
0 <--> 1 3 4 5 7
1 <--> 0 2 4 5 6
2 <--> 1 3 5 6 7
3 <--> 2 0 4 6 7
4 <--> 0 1 3 5 7 8 9 10 11 14 15
5 <--> 1 4 0 2 6 8 9 10 11 12 13
6 <--> 2 5 1 3 7 10 11 12 13 14 15
7 <--> 3 6 4 2 0 8 9 12 13 14 15
8 <--> 4 5 7 9 10 11 14 15
9 <--> 8 4 5 7 10 11 14 15
10 <--> 5 8 4 6 9 11 12 13
11 <--> 10 5 9 8 4 6 12 13
12 <--> 6 10 5 7 11 13 14 15
13 <--> 12 6 11 10 5 7 14 15
14 <--> 7 12 8 6 4 13 9 15
15 <--> 14 7 13 9 12 8 6 4


>>> G/S: <<<
0 <--> 4 1 3 5 7
1 <--> 0 5 2 4 6
2 <--> 1 6 3 5 7
3 <--> 0 2 7 6 4
4 <--> 0 1 3 8 5 7 9 11
5 <--> 0 1 2 4 9 6 8 10
6 <--> 1 2 3 5 10 7 9 11
7 <--> 0 2 3 4 6 11 10 8
8 <--> 4 5 7 9 11
9 <--> 4 5 6 8 10
10 <--> 5 6 7 9 11
11 <--> 4 6 7 8 10


>>> cartesian skeleton: <<<
0 <--> 4 1 3
1 <--> 0 5 2
2 <--> 1 6 3
3 <--> 0 2 7
4 <--> 0 8 5 7
5 <--> 1 4 9 6
6 <--> 2 5 10 7
7 <--> 3 4 6 11
8 <--> 4 9 11
9 <--> 5 8 10
10 <--> 6 9 11
11 <--> 7 8 10



>>> factors of cartesian skeleton: <<<

>> cartFactorNr 1:
0 <--> 1
1 <--> 0 2
2 <--> 1

>> cartFactorNr 2:
0 <--> 1
1 <--> 0

>> cartFactorNr 3:
0 <--> 1
1 <--> 0



>>> combined factors of cartesian skeleton: <<<

>> FactorNr 0:
0 <--> 1
1 <--> 0 2
2 <--> 1

>> FactorNr 1:
0 <--> 1 3
1 <--> 0 2
2 <--> 1 3
3 <--> 0 2



>>> coordinates of G/S with respect to the strong Product: <<<

level 0 ->
coord of 0 =  0 0

level 1 ->
coord of 4 =  1 0
coord of 1 =  0 1
coord of 3 =  0 2

level 2 ->
coord of 8 =  2 0
coord of 5 =  1 1
coord of 7 =  1 2
coord of 2 =  0 3

level 3 ->
coord of 9 =  2 1
coord of 11 = 2 2
coord of 6 =  1 3

level 4 ->
coord of 10 = 2 3



>>> Factors of G: <<<
factor nr 0
K_2

factor nr 1
0 <--> 1
1 <--> 0 2 3
2 <--> 1 3
3 <--> 1 2

factor nr 2
0 <--> 1 3
1 <--> 0 2
2 <--> 1 3
3 <--> 0 2