Open Odd Dominating Sets in Grids (even vertex v must have |N(v) intersect D| odd. Iteration continued until 2nd row of zeroes 0 1 0 o o 1 x x 2 o o 3 o o 0 1 0 o x 1 o x 2 o o 3 x o 4 x o 5 o o 0 1 0 x o 1 x o 2 o o 3 o x 4 o x 5 o o 0 1 0 x x 1 o o 2 o o Total Time: 0.00 seconds Graphs of size 2: Number with max value (5): 2 Percentage with max value: 50.000% FREQUENCY TABLE [value : frequency] 2: 1 3: 1 5: 2 *** Line of 0's terminated after 3 lines ============================================= 0 1 2 0 o o o 1 x x x 2 o x o 3 x o x 4 x o x 5 o x o 6 x x x 7 o o o 8 o o o 0 1 2 0 o o x 1 x o x 2 x x o 3 x o x 4 o o x 5 o o o 6 x x o 7 o o o 0 1 2 0 o x o 1 o x o 2 o o o 3 x o x 4 x x x 5 x x x 6 x o x 7 o o o 0 1 2 0 o x x 1 o o o 2 x o o 3 x o x 4 o x x 5 x o x 6 x o o 7 o o o 0 1 2 0 x o o 1 x o x 2 o x x 3 x o x 4 x o o 5 o o o 6 o x x 7 o o o 0 1 2 0 x o x 1 x x x 2 x x x 3 x o x 4 o o o 5 o x o 6 o x o 7 o o o 0 1 2 0 x x o 1 o o o 2 o o x 3 x o x 4 x x o 5 x o x 6 o o x 7 o o o 0 1 2 0 x x x 1 o x o 2 x o x 3 x o x 4 o x o 5 x x x 6 o o o 7 o o o Total Time: 0.00 seconds Graphs of size 3: Number with max value (8): 1 Percentage with max value: 12.500% FREQUENCY TABLE [value : frequency] 7: 7 8: 1 *** Line of 0's terminated after 8 lines ============================================= 0 1 2 3 0 o o o o 1 x x x x 2 o x x o 3 x x x x 4 o o o o 5 o o o o 0 1 2 3 0 o o o x 1 x x o x 2 o o x o 3 o x x x 4 o o o o 5 x o o o 6 x o x x 7 o x o o 8 x x x o 9 o o o o 0 1 2 3 0 o o x o 1 x o x o 2 x x o o 3 x o x x 4 o o o o 5 o x o o 6 o x o x 7 o o x x 8 x x o x 9 o o o o 0 1 2 3 0 o o x x 1 x o o o 2 x o o o 3 o o x x 4 o o o o 5 x x o o 6 o o o x 7 o o o x 8 x x o o 9 o o o o 0 1 2 3 0 o x o o 1 o x o x 2 o o x x 3 x x o x 4 o o o o 5 o o x o 6 x o x o 7 x x o o 8 x o x x 9 o o o o 0 1 2 3 0 o x o x 1 o x x x 2 o x x x 3 o x o x 4 o o o o 5 x o x o 6 x x x o 7 x x x o 8 x o x o 9 o o o o 0 1 2 3 0 o x x o 1 o o o o 2 x o o x 3 x o o x 4 o o o o 0 1 2 3 0 o x x x 1 o o x o 2 x x o x 3 o o o x 4 o o o o 5 x x x o 6 o x o o 7 x o x x 8 x o o o 9 o o o o 0 1 2 3 0 x o o o 1 x o x x 2 o x o o 3 x x x o 4 o o o o 5 o o o x 6 x x o x 7 o o x o 8 o x x x 9 o o o o 0 1 2 3 0 x o o x 1 x o o x 2 o o o o 3 o x x o 4 o o o o 0 1 2 3 0 x o x o 1 x x x o 2 x x x o 3 x o x o 4 o o o o 5 o x o x 6 o x x x 7 o x x x 8 o x o x 9 o o o o 0 1 2 3 0 x o x x 1 x x o o 2 x o x o 3 o o x o 4 o o o o 5 x x o x 6 o o x x 7 o x o x 8 o x o o 9 o o o o 0 1 2 3 0 x x o o 1 o o o x 2 o o o x 3 x x o o 4 o o o o 5 o o x x 6 x o o o 7 x o o o 8 o o x x 9 o o o o 0 1 2 3 0 x x o x 1 o o x x 2 o x o x 3 o x o o 4 o o o o 5 x o x x 6 x x o o 7 x o x o 8 o o x o 9 o o o o 0 1 2 3 0 x x x o 1 o x o o 2 x o x x 3 x o o o 4 o o o o 5 o x x x 6 o o x o 7 x x o x 8 o o o x 9 o o o o 0 1 2 3 0 x x x x 1 o x x o 2 x x x x 3 o o o o 4 o o o o Total Time: 0.01 seconds Graphs of size 4: Number with max value (9): 12 Percentage with max value: 75.000% FREQUENCY TABLE [value : frequency] 4: 3 5: 1 9: 12 *** Line of 0's terminated after 5 lines ============================================= Total Time: 0.00 seconds Graphs of size 5: Number with max value (23): 16 Percentage with max value: 50.000% FREQUENCY TABLE [value : frequency] 11: 15 12: 1 23: 16 *** Line of 0's terminated after 12 lines ============================================= Total Time: 0.01 seconds Graphs of size 6: Number with max value (13): 58 Percentage with max value: 90.625% FREQUENCY TABLE [value : frequency] 6: 5 7: 1 13: 58 *** Line of 0's terminated after 7 lines ============================================= Total Time: 0.01 seconds Graphs of size 7: Number with max value (31): 97 Percentage with max value: 75.781% FREQUENCY TABLE [value : frequency] 15: 31 16: 1 31: 96 *** Line of 0's terminated after 16 lines ============================================= Total Time: 0.01 seconds Graphs of size 8: Number with max value (17): 242 Percentage with max value: 94.531% FREQUENCY TABLE [value : frequency] 8: 13 9: 1 17: 242 *** Line of 0's terminated after 9 lines ============================================= Total Time: 0.03 seconds Graphs of size 9: Number with max value (39): 464 Percentage with max value: 90.625% FREQUENCY TABLE [value : frequency] 19: 47 20: 1 39: 464 *** Line of 0's terminated after 20 lines ============================================= Total Time: 0.04 seconds Graphs of size 10: Number with max value (21): 1014 Percentage with max value: 99.023% FREQUENCY TABLE [value : frequency] 10: 9 11: 1 21: 1014 *** Line of 0's terminated after 11 lines ============================================= Total Time: 0.18 seconds Graphs of size 11: Number with max value (47): 1936 Percentage with max value: 94.531% FREQUENCY TABLE [value : frequency] 23: 111 24: 1 47: 1936 *** Line of 0's terminated after 24 lines ============================================= Total Time: 0.22 seconds Graphs of size 12: Number with max value (25): 4084 Percentage with max value: 99.707% FREQUENCY TABLE [value : frequency] 12: 11 13: 1 25: 4084 *** Line of 0's terminated after 13 lines ============================================= Total Time: 1.01 seconds Graphs of size 13: Number with max value (55): 8040 Percentage with max value: 98.145% FREQUENCY TABLE [value : frequency] 27: 151 28: 1 55: 8040 *** Line of 0's terminated after 28 lines ============================================= Total Time: 1.17 seconds Graphs of size 14: Number with max value (29): 16328 Percentage with max value: 99.658% FREQUENCY TABLE [value : frequency] 14: 55 15: 1 29: 16328 *** Line of 0's terminated after 15 lines ============================================= Total Time: 5.22 seconds Graphs of size 15: Number with max value (63): 32448 Percentage with max value: 99.023% FREQUENCY TABLE [value : frequency] 31: 319 32: 1 63: 32448 *** Line of 0's terminated after 32 lines ============================================= Total Time: 5.98 seconds Graphs of size 16: Number with max value (33): 65520 Percentage with max value: 99.976% FREQUENCY TABLE [value : frequency] 16: 15 17: 1 33: 65520 *** Line of 0's terminated after 17 lines ============================================= Total Time: 26.56 seconds Graphs of size 17: Number with max value (71): 130456 Percentage with max value: 99.530% FREQUENCY TABLE [value : frequency] 35: 615 36: 1 71: 130456 *** Line of 0's terminated after 36 lines ============================================= Total Time: 29.68 seconds Graphs of size 18: Number with max value (37): 262126 Percentage with max value: 99.993% FREQUENCY TABLE [value : frequency] 18: 17 19: 1 37: 262126 *** Line of 0's terminated after 19 lines ============================================= Total Time: 130.55 seconds Graphs of size 19: Number with max value (79): 523136 Percentage with max value: 99.780% FREQUENCY TABLE [value : frequency] 39: 1151 40: 1 79: 523136 *** Line of 0's terminated after 40 lines ============================================= Total Time: 145.09 seconds Graphs of size 20: Number with max value (41): 1048412 Percentage with max value: 99.984% FREQUENCY TABLE [value : frequency] 20: 163 21: 1 41: 1048412 *** Line of 0's terminated after 21 lines ============================================= Total Time: 628.77 seconds Graphs of size 21: Number with max value (87): 2095064 Percentage with max value: 99.900% FREQUENCY TABLE [value : frequency] 43: 2087 44: 1 87: 2095064 *** Line of 0's terminated after 44 lines ============================================= Total Time: 693.37 seconds Graphs of size 22: Number with max value (45): 4194282 Percentage with max value: 99.999% FREQUENCY TABLE [value : frequency] 22: 21 23: 1 45: 4194282 *** Line of 0's terminated after 23 lines =============================================