Minimum n by m odd dom set n=5 m 1 2 2 3 3 6 4 10 5 15 6 14 7 15 9 28 12 40 Minimum n by m odd dom set n=6 m 1 2 2 8 3 10 4 8 5 14 6 28 7 26 8 16 Minimum n by m odd dom set n=7 m 1 3 2 4 3 7 4 10 5 13 6 26 7 33 8 20 9 37 10 44 11 26 Minimum n by m odd dom set n=8 m 1 3 2 8 3 8 4 20 5 21 6 18 7 20 8 40 9 39 11 54 12 36 13 37 16 76 20 74 Minimum n by m odd dom set n=9 m 1 3 2 5 3 11 4 12 5 28 6 26 7 37 8 39 9 25 10 48 13 59 16 90 19 67 Minimum n by m odd dom set n=10 m 1 4 2 12 3 20 4 20 5 16 6 32 7 44 8 24 9 48 10 44 11 44 12 80 13 76 14 72 15 56 16 100 17 68 18 92 19 104 20 92 21 136 22 92 23 112 24 136 25 132 26 128 27 144 28 160 29 156 30 114 Minimum n by m odd dom set n=11 m 1 4 2 6 3 12 4 14 5 21 6 30 7 26 8 48 9 58 10 44 11 55 12 76 13 78 14 82 15 57 16 90 17 91 18 90 19 102 20 108 22 120 23 95 24 136 25 156 26 142 28 166 29 157 30 166 31 157 32 168 34 180 35 177 36 212 38 202 40 226 41 227 42 242 44 244 46 256 47 232 Minimum n by m odd dom set n=12 m 1 4 2 12 3 20 4 16 5 40 6 28 7 44 8 36 9 36 10 80 11 76 12 72 13 80 14 88 15 112 16 108 17 112 18 92 19 128 20 132 21 124 22 124 23 148 24 148 25 180 26 144 27 180 28 164 29 180 30 200 31 136 32 180 33 200 34 200 35 220 36 204 37 224 38 248 39 244 40 260 41 224 42 208 43 272 44 264 45 304 46 244 47 276 48 328 49 320 50 288 51 272 52 300 53 348 54 324 55 364 56 320 57 368 58 368 59 360 60 384 61 364 62 328 Minimum n by m odd dom set n=13 m 1 5 2 7 3 13 4 30 5 32 6 26 7 43 8 37 9 59 10 76 11 78 12 80 13 105 14 95 15 105 16 110 17 74 ** A V-D odd dom set is a set D such that for each vertex v in V-D, |N(v) \intersect D| is odd Upper Bounds on minimum V-D odd dom set: n=5 m 1 2 2 3 3 6 4 6 5 11 7 9 10 18 Upper Bounds on minimum V-D odd dom set: n=6 m 1 2 2 4 3 7 4 8 6 12 7 12 8 16 9 22 10 16 11 24 13 26 Upper Bounds on minimum V-D odd dom set: n=7 m 1 3 2 4 3 7 4 8 5 13 6 12 7 15 8 19 9 19 10 20 11 23 12 28 13 25 15 37 16 36 20 41 29 73 Upper Bounds on minimum V-D odd dom set: n=8 m 1 3 2 5 3 8 4 8 5 17 6 15 7 18 8 20 9 20 10 24 11 27 12 28 13 28 14 32 15 38 16 36 19 48 21 53 23 54 26 59 33 96 35 86 93 266 Upper Bounds on minimum V-D odd dom set: n=9 m 1 3 2 5 3 9 4 10 5 18 6 17 7 18 8 20 9 23 10 28 11 29 12 30 13 35 14 37 15 39 16 38 17 43 18 48 19 49 20 55 22 60 23 66 25 68 27 71 29 75 31 113 32 81 34 90 35 102 36 112 39 103 40 120 45 145 53 179 57 145 61 193 107 331 Upper Bounds on minimum V-D odd dom set: n=10 m 1 4 2 6 3 10 4 12 5 19 6 18 7 18 8 26 9 27 10 31 11 30 12 33 13 40 14 40 15 42 16 48 17 49 18 51 19 50 20 56 21 60 22 64 23 68 24 71 25 72 27 76 29 101 30 87 31 102 32 93 33 112 34 103 35 100 36 120 37 110 38 107 39 116 40 117 41 127 42 124 43 120 45 162 50 172 51 179 52 152 53 158 56 190 57 174 61 202 68 231 69 238 74 254 75 261 80 232 89 306 113 364 125 438 127 463 141 438 173 592