Open Odd Dominating Sets in Grids (even vertex v must have |N(v) intersect D| odd. 0 1 0 o o 1 x x 2 o o 0 1 0 o x 1 o x 2 o o 0 1 0 x o 1 x o 2 o o 0 1 0 x x 1 o o Total Time: 0.00 seconds Graphs of size 2: Number with max value (2): 3 Percentage with max value: 75.000% FREQUENCY TABLE [value : frequency] 1: 1 2: 3 ============================================= 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 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 0 1 2 0 o x o 1 o x o 2 o o o 0 1 2 0 o x x 1 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 0 1 2 0 x o x 1 x x x 2 x x x 3 x o x 4 o o o 0 1 2 0 x x o 1 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 Total Time: 0.00 seconds Graphs of size 3: Number with max value (7): 1 Percentage with max value: 12.500% FREQUENCY TABLE [value : frequency] 1: 2 2: 1 4: 1 5: 2 6: 1 7: 1 ============================================= 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 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 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 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 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 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 0 1 2 3 0 o x x o 1 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 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 0 1 2 3 0 x o o x 1 x o o x 2 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 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 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 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 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 0 1 2 3 0 x x x x 1 o x x o 2 x x x x 3 o o o o Total Time: 0.00 seconds Graphs of size 4: Number with max value (4): 13 Percentage with max value: 81.250% FREQUENCY TABLE [value : frequency] 1: 1 2: 1 3: 1 4: 13 ============================================= Total Time: 0.00 seconds Graphs of size 5: Number with max value (11): 17 Percentage with max value: 53.125% FREQUENCY TABLE [value : frequency] 2: 4 3: 2 4: 1 6: 1 7: 2 8: 4 10: 1 11: 17 ============================================= Total Time: 0.00 seconds Graphs of size 6: Number with max value (6): 59 Percentage with max value: 92.188% FREQUENCY TABLE [value : frequency] 1: 1 2: 1 3: 1 4: 1 5: 1 6: 59 ============================================= Total Time: 0.00 seconds Graphs of size 7: Number with max value (15): 97 Percentage with max value: 75.781% FREQUENCY TABLE [value : frequency] 1: 2 2: 1 3: 8 4: 1 5: 2 6: 1 8: 1 9: 2 10: 1 11: 8 12: 1 13: 2 14: 1 15: 97 ============================================= Total Time: 0.00 seconds Graphs of size 8: Number with max value (8): 243 Percentage with max value: 94.922% FREQUENCY TABLE [value : frequency] 1: 1 2: 4 3: 1 4: 1 5: 4 6: 1 7: 1 8: 243 ============================================= Total Time: 0.01 seconds Graphs of size 9: Number with max value (19): 465 Percentage with max value: 90.820% FREQUENCY TABLE [value : frequency] 2: 1 3: 2 4: 16 6: 1 7: 2 8: 1 10: 1 11: 2 12: 1 14: 16 15: 2 16: 1 18: 1 19: 465 ============================================= Total Time: 0.02 seconds Graphs of size 10: Number with max value (10): 1015 Percentage with max value: 99.121% FREQUENCY TABLE [value : frequency] 1: 1 2: 1 3: 1 4: 1 5: 1 6: 1 7: 1 8: 1 9: 1 10: 1015 ============================================= Total Time: 0.09 seconds Graphs of size 11: Number with max value (23): 1937 Percentage with max value: 94.580% FREQUENCY TABLE [value : frequency] 1: 2 2: 4 4: 1 5: 32 6: 1 7: 8 8: 4 9: 2 10: 1 12: 1 13: 2 14: 4 15: 8 16: 1 17: 32 18: 1 20: 4 21: 2 22: 1 23: 1937 ============================================= Total Time: 0.12 seconds Graphs of size 12: Number with max value (12): 4085 Percentage with max value: 99.731% FREQUENCY TABLE [value : frequency] 1: 1 2: 1 3: 1 4: 1 5: 1 6: 1 7: 1 8: 1 9: 1 10: 1 11: 1 12: 4085 ============================================= Total Time: 0.51 seconds Graphs of size 13: Number with max value (27): 8041 Percentage with max value: 98.157% FREQUENCY TABLE [value : frequency] 2: 1 3: 2 4: 1 6: 64 7: 2 8: 1 10: 1 11: 2 12: 1 14: 1 15: 2 16: 1 18: 1 19: 2 20: 64 22: 1 23: 2 24: 1 26: 1 27: 8041 ============================================= Total Time: 0.60 seconds Graphs of size 14: Number with max value (14): 16329 Percentage with max value: 99.664% FREQUENCY TABLE [value : frequency] 1: 1 2: 4 3: 1 4: 16 5: 4 6: 1 7: 1 8: 4 9: 16 10: 1 11: 4 12: 1 13: 1 14: 16329 ============================================= Total Time: 2.63 seconds Graphs of size 15: Number with max value (31): 32449 Percentage with max value: 99.026% FREQUENCY TABLE [value : frequency] 1: 2 2: 1 3: 8 4: 1 5: 2 6: 1 7: 128 8: 1 9: 2 10: 1 11: 8 12: 1 13: 2 14: 1 16: 1 17: 2 18: 1 19: 8 20: 1 21: 2 22: 1 23: 128 24: 1 25: 2 26: 1 27: 8 28: 1 29: 2 30: 1 31: 32449 ============================================= Total Time: 3.01 seconds Graphs of size 16: Number with max value (16): 65521 Percentage with max value: 99.977% FREQUENCY TABLE [value : frequency] 1: 1 2: 1 3: 1 4: 1 5: 1 6: 1 7: 1 8: 1 9: 1 10: 1 11: 1 12: 1 13: 1 14: 1 15: 1 16: 65521 ============================================= Total Time: 13.28 seconds Graphs of size 17: Number with max value (35): 130457 Percentage with max value: 99.531% FREQUENCY TABLE [value : frequency] 2: 4 3: 2 4: 1 6: 1 7: 2 8: 256 10: 1 11: 32 12: 1 14: 4 15: 2 16: 1 18: 1 19: 2 20: 4 22: 1 23: 32 24: 1 26: 256 27: 2 28: 1 30: 1 31: 2 32: 4 34: 1 35: 130457 ============================================= Total Time: 14.93 seconds Graphs of size 18: Number with max value (18): 262127 Percentage with max value: 99.994% FREQUENCY TABLE [value : frequency] 1: 1 2: 1 3: 1 4: 1 5: 1 6: 1 7: 1 8: 1 9: 1 10: 1 11: 1 12: 1 13: 1 14: 1 15: 1 16: 1 17: 1 18: 262127 ============================================= Total Time: 65.52 seconds Graphs of size 19: Number with max value (39): 523137 Percentage with max value: 99.780% FREQUENCY TABLE [value : frequency] 1: 2 2: 1 4: 16 5: 2 6: 1 7: 8 8: 1 9: 512 10: 1 12: 1 13: 2 14: 16 15: 8 16: 1 17: 2 18: 1 20: 1 21: 2 22: 1 23: 8 24: 16 25: 2 26: 1 28: 1 29: 512 30: 1 31: 8 32: 1 33: 2 34: 16 36: 1 37: 2 38: 1 39: 523137 ============================================= Total Time: 73.70 seconds Graphs of size 20: Number with max value (20): 1048413 Percentage with max value: 99.984% FREQUENCY TABLE [value : frequency] 1: 1 2: 4 3: 1 4: 1 5: 4 6: 64 7: 1 8: 4 9: 1 10: 1 11: 4 12: 1 13: 64 14: 4 15: 1 16: 1 17: 4 18: 1 19: 1 20: 1048413 ============================================= Total Time: 315.84 seconds Graphs of size 21: Number with max value (43): 2095065 Percentage with max value: 99.900% FREQUENCY TABLE [value : frequency] 2: 1 3: 2 4: 1 6: 1 7: 2 8: 1 10: 1024 11: 2 12: 1 14: 1 15: 2 16: 1 18: 1 19: 2 20: 1 22: 1 23: 2 24: 1 26: 1 27: 2 28: 1 30: 1 31: 2 32: 1024 34: 1 35: 2 36: 1 38: 1 39: 2 40: 1 42: 1 43: 2095065 ============================================= Total Time: 348.89 seconds Graphs of size 22: Number with max value (22): 4194283 Percentage with max value: 99.999% FREQUENCY TABLE [value : frequency] 1: 1 2: 1 3: 1 4: 1 5: 1 6: 1 7: 1 8: 1 9: 1 10: 1 11: 1 12: 1 13: 1 14: 1 15: 1 16: 1 17: 1 18: 1 19: 1 20: 1 21: 1 22: 4194283 ============================================= Total Time: 1504.73 seconds Graphs of size 23: Number with max value (47): 8384033 Percentage with max value: 99.945% FREQUENCY TABLE [value : frequency] 1: 2 2: 4 3: 8 4: 1 5: 32 6: 1 8: 4 9: 2 10: 1 11: 2048 12: 1 13: 2 14: 4 15: 128 16: 1 17: 32 18: 1 19: 8 20: 4 21: 2 22: 1 24: 1 25: 2 26: 4 27: 8 28: 1 29: 32 30: 1 31: 128 32: 4 33: 2 34: 1 35: 2048 36: 1 37: 2 38: 4 40: 1 41: 32 42: 1 43: 8 44: 4 45: 2 46: 1 47: 8384033 =============================================