Open Odd Dominating Sets in Grids (even vertex v must have |N(v) intersect D| odd. For a given number of columns n, we generate n by m grids having open even dominating sets. This is done by considering an 2^n possible values D for the first row of the grid. Iteration continued until 4th row of zeroes 0 1 0 o o 1 x x 2 o o 3 o o 4 x x 5 o o 6 o o 0 1 0 o x 1 o x 2 o o 3 x o 4 x o 5 o o 6 o x 7 o x 8 o o 9 x o 10 x o 11 o o 0 1 0 x o 1 x o 2 o o 3 o x 4 o x 5 o o 6 x o 7 x o 8 o o 9 o x 10 o x 11 o o 0 1 0 x x 1 o o 2 o o 3 x x 4 o o 5 o o Total Time: 0.00 seconds Graphs of size 2: Number with max value (11): 2 Percentage with max value: 50.000% FREQUENCY TABLE [value : frequency] 5: 1 6: 1 11: 2 *** Line of 0's terminated after 6 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 9 x x x 10 o x o 11 x o x 12 x o x 13 o x o 14 x x x 15 o o o 16 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 8 o o x 9 x o x 10 x x o 11 x o x 12 o o x 13 o o o 14 x x o 15 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 8 o x o 9 o x o 10 o o o 11 x o x 12 x x x 13 x x x 14 x o x 15 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 8 o x x 9 o o o 10 x o o 11 x o x 12 o x x 13 x o x 14 x o o 15 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 8 x o o 9 x o x 10 o x x 11 x o x 12 x o o 13 o o o 14 o x x 15 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 8 x o x 9 x x x 10 x x x 11 x o x 12 o o o 13 o x o 14 o x o 15 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 8 x x o 9 o o o 10 o o x 11 x o x 12 x x o 13 x o x 14 o o x 15 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 8 x x x 9 o x o 10 x o x 11 x o x 12 o x o 13 x x x 14 o o o 15 o o o Total Time: 0.00 seconds Graphs of size 3: Number with max value (16): 1 Percentage with max value: 12.500% FREQUENCY TABLE [value : frequency] 15: 7 16: 1 *** Line of 0's terminated after 16 lines ============================================= Total Time: 0.00 seconds Graphs of size 4: Number with max value (19): 12 Percentage with max value: 75.000% FREQUENCY TABLE [value : frequency] 9: 3 10: 1 19: 12 *** Line of 0's terminated after 10 lines ============================================= Total Time: 0.01 seconds Graphs of size 5: Number with max value (47): 16 Percentage with max value: 50.000% FREQUENCY TABLE [value : frequency] 23: 15 24: 1 47: 16 *** Line of 0's terminated after 24 lines ============================================= Total Time: 0.01 seconds Graphs of size 6: Number with max value (27): 58 Percentage with max value: 90.625% FREQUENCY TABLE [value : frequency] 13: 5 14: 1 27: 58 *** Line of 0's terminated after 14 lines ============================================= Total Time: 0.01 seconds Graphs of size 7: Number with max value (63): 96 Percentage with max value: 75.000% FREQUENCY TABLE [value : frequency] 31: 31 32: 1 63: 96 *** Line of 0's terminated after 32 lines ============================================= Total Time: 0.01 seconds Graphs of size 8: Number with max value (35): 242 Percentage with max value: 94.531% FREQUENCY TABLE [value : frequency] 17: 13 18: 1 35: 242 *** Line of 0's terminated after 18 lines ============================================= Total Time: 0.06 seconds Graphs of size 9: Number with max value (79): 464 Percentage with max value: 90.625% FREQUENCY TABLE [value : frequency] 39: 47 40: 1 79: 464 *** Line of 0's terminated after 40 lines ============================================= Total Time: 0.07 seconds Graphs of size 10: Number with max value (43): 1014 Percentage with max value: 99.023% FREQUENCY TABLE [value : frequency] 21: 9 22: 1 43: 1014 *** Line of 0's terminated after 22 lines ============================================= Total Time: 0.37 seconds Graphs of size 11: Number with max value (95): 1936 Percentage with max value: 94.531% FREQUENCY TABLE [value : frequency] 47: 111 48: 1 95: 1936 *** Line of 0's terminated after 48 lines ============================================= Total Time: 0.43 seconds Graphs of size 12: Number with max value (51): 4084 Percentage with max value: 99.707% FREQUENCY TABLE [value : frequency] 25: 11 26: 1 51: 4084 *** Line of 0's terminated after 26 lines ============================================= Total Time: 1.98 seconds Graphs of size 13: Number with max value (111): 8040 Percentage with max value: 98.145% FREQUENCY TABLE [value : frequency] 55: 151 56: 1 111: 8040 *** Line of 0's terminated after 56 lines ============================================= Total Time: 2.32 seconds Graphs of size 14: Number with max value (59): 16328 Percentage with max value: 99.658% FREQUENCY TABLE [value : frequency] 29: 55 30: 1 59: 16328 *** Line of 0's terminated after 30 lines ============================================= Total Time: 10.41 seconds Graphs of size 15: Number with max value (127): 32448 Percentage with max value: 99.023% FREQUENCY TABLE [value : frequency] 63: 319 64: 1 127: 32448 *** Line of 0's terminated after 64 lines ============================================= Total Time: 11.92 seconds Graphs of size 16: Number with max value (67): 65520 Percentage with max value: 99.976% FREQUENCY TABLE [value : frequency] 33: 15 34: 1 67: 65520 *** Line of 0's terminated after 34 lines ============================================= Total Time: 52.87 seconds Graphs of size 17: Number with max value (143): 130456 Percentage with max value: 99.530% FREQUENCY TABLE [value : frequency] 71: 615 72: 1 143: 130456 *** Line of 0's terminated after 72 lines ============================================= Total Time: 59.07 seconds Graphs of size 18: Number with max value (75): 262126 Percentage with max value: 99.993% FREQUENCY TABLE [value : frequency] 37: 17 38: 1 75: 262126 *** Line of 0's terminated after 38 lines ============================================= Total Time: 260.37 seconds Graphs of size 19: Number with max value (159): 523136 Percentage with max value: 99.780% FREQUENCY TABLE [value : frequency] 79: 1151 80: 1 159: 523136 *** Line of 0's terminated after 80 lines ============================================= Total Time: 289.01 seconds Graphs of size 20: Number with max value (83): 1048412 Percentage with max value: 99.984% FREQUENCY TABLE [value : frequency] 41: 163 42: 1 83: 1048412 *** Line of 0's terminated after 42 lines ============================================= Total Time: 1256.73 seconds Graphs of size 21: Number with max value (175): 2095064 Percentage with max value: 99.900% FREQUENCY TABLE [value : frequency] 87: 2087 88: 1 175: 2095064 *** Line of 0's terminated after 88 lines ============================================= Total Time: 1382.87 seconds Graphs of size 22: Number with max value (91): 4194282 Percentage with max value: 99.999% FREQUENCY TABLE [value : frequency] 45: 21 46: 1 91: 4194282 *** Line of 0's terminated after 46 lines =============================================