id sid eid entity type cana-512 1 1 1074 CARDINAL cana-512 1 2 31 CARDINAL cana-512 1 3 2 CARDINAL cana-512 1 4 2024 CARDINAL cana-512 1 5 42 DATE cana-512 1 6 janani r1* PERSON cana-512 1 7 ramachandran t2 1 PERSON cana-512 1 8 ssm institute of engineering ORG cana-512 1 9 tamilnadu NORP cana-512 1 10 india GPE cana-512 1 11 2 CARDINAL cana-512 1 12 mvm government arts college ORG cana-512 1 13 dindigul PERSON cana-512 1 14 tamilnadu NORP cana-512 1 15 india GPE cana-512 3 1 20-01-2024 CARDINAL cana-512 3 2 30 CARDINAL cana-512 3 3 24-04-2024 CARDINAL cana-512 9 1 1 CARDINAL cana-512 10 1 a days DATE cana-512 10 2 2 CARDINAL cana-512 11 1 one CARDINAL cana-512 12 1 1 CARDINAL cana-512 12 2 two CARDINAL cana-512 12 3 1 CARDINAL cana-512 15 1 3 CARDINAL cana-512 16 1 coprime GPE cana-512 16 2 1 CARDINAL cana-512 17 1 1 CARDINAL cana-512 18 1 1 CARDINAL cana-512 19 1 1,2,3 CARDINAL cana-512 20 1 οƒŽ ORG cana-512 21 1 1 ( CARDINAL cana-512 21 2 2 CARDINAL cana-512 22 1 1074 CARDINAL cana-512 22 2 31 CARDINAL cana-512 22 3 2 CARDINAL cana-512 22 4 2024 CARDINAL cana-512 23 1 43 CARDINAL cana-512 23 2 1.1 CARDINAL cana-512 24 1 1,2,3 CARDINAL cana-512 24 2 v(g WORK_OF_ART cana-512 26 1 first ORDINAL cana-512 26 2 two CARDINAL cana-512 28 1 1.2 CARDINAL cana-512 28 2 1 CARDINAL cana-512 28 3 2 DATE cana-512 31 1 10 CARDINAL cana-512 32 1 1.3 CARDINAL cana-512 32 2 Ξ΅(g PERSON cana-512 33 1 10 CARDINAL cana-512 34 1 ∢ ORG cana-512 34 2 2 CARDINAL cana-512 35 1 2.1 CARDINAL cana-512 39 1 ∢ ORG cana-512 39 2 𝐻 βŠ† 𝐺 & 𝐺 βˆ’ PRODUCT cana-512 40 1 1 CARDINAL cana-512 42 1 1074 CARDINAL cana-512 42 2 31 CARDINAL cana-512 42 3 2 CARDINAL cana-512 42 4 2024 CARDINAL cana-512 42 5 44 DATE cana-512 42 6 1 CARDINAL cana-512 42 7 1 3 CARDINAL cana-512 42 8 7 CARDINAL cana-512 43 1 3.1 CARDINAL cana-512 49 1 1 CARDINAL cana-512 49 2 2 DATE cana-512 52 1 3.2 CARDINAL cana-512 54 1 2 CARDINAL cana-512 54 2 𝐾4 ORG cana-512 54 3 4 CARDINAL cana-512 54 4 𝐾4 CARDINAL cana-512 54 5 6 CARDINAL cana-512 55 1 4 CARDINAL cana-512 55 2 2 CARDINAL cana-512 55 3 1074 CARDINAL cana-512 55 4 31 CARDINAL cana-512 55 5 2 CARDINAL cana-512 55 6 2024 CARDINAL cana-512 55 7 45 CARDINAL cana-512 55 8 2 CARDINAL cana-512 55 9 4 CARDINAL cana-512 55 10 7 CARDINAL cana-512 56 1 4.1 CARDINAL cana-512 56 2 kn PERSON cana-512 57 1 two CARDINAL cana-512 57 2 one CARDINAL cana-512 57 3 4.1 CARDINAL cana-512 57 4 βŠ™ k1 PRODUCT cana-512 57 5 βŠ™ FAC cana-512 58 1 2 CARDINAL cana-512 58 2 2𝑛 CARDINAL cana-512 58 3 0(π‘šπ‘œπ‘‘ 3) 𝑛(π‘›βˆ’3 DATE cana-512 58 4 2 CARDINAL cana-512 58 5 1 CARDINAL cana-512 58 6 2𝑛 + 1 β‰’ 0(π‘šπ‘œπ‘‘ 3 QUANTITY cana-512 58 7 2n CARDINAL cana-512 58 8 2 CARDINAL cana-512 58 9 kn βŠ™ k1 PRODUCT cana-512 59 1 1 CARDINAL cana-512 59 2 2𝑛 CARDINAL cana-512 59 3 0(π‘šπ‘œπ‘‘ 3 DATE cana-512 60 1 2 CARDINAL cana-512 61 1 2 CARDINAL cana-512 61 2 1 CARDINAL cana-512 61 3 βŠ™ k1 PRODUCT cana-512 62 1 2 CARDINAL cana-512 62 2 2 CARDINAL cana-512 63 1 2𝑛 CARDINAL cana-512 63 2 1 to CARDINAL cana-512 64 1 2 CARDINAL cana-512 64 2 1 CARDINAL cana-512 64 3 kn βŠ™ k1 PERSON cana-512 64 4 n pendent vertices ( ORG cana-512 64 5 two CARDINAL cana-512 65 1 3 CARDINAL cana-512 66 1 1 CARDINAL cana-512 66 2 3 DATE cana-512 66 3 5 DATE cana-512 67 1 2𝑛 CARDINAL cana-512 68 1 1 CARDINAL cana-512 68 2 2 CARDINAL cana-512 68 3 4 DATE cana-512 68 4 6 DATE cana-512 68 5 2𝑛 CARDINAL cana-512 68 6 two CARDINAL cana-512 68 7 1074 CARDINAL cana-512 68 8 31 CARDINAL cana-512 68 9 2 CARDINAL cana-512 68 10 2024 CARDINAL cana-512 68 11 46 DATE cana-512 68 12 2𝑛 CARDINAL cana-512 69 1 2𝑛 CARDINAL cana-512 69 2 0(π‘šπ‘œπ‘‘ 3 DATE cana-512 69 3 2𝑛 CARDINAL cana-512 69 4 3π‘š CARDINAL cana-512 69 5 2𝑛 CARDINAL cana-512 70 1 2 CARDINAL cana-512 70 2 2𝑛 CARDINAL cana-512 71 1 2 CARDINAL cana-512 71 2 1 CARDINAL cana-512 72 1 2 CARDINAL cana-512 72 2 2 CARDINAL cana-512 72 3 βŠ™ k1 PRODUCT cana-512 73 1 2 CARDINAL cana-512 73 2 2 CARDINAL cana-512 74 1 2𝑛 CARDINAL cana-512 74 2 1 to CARDINAL cana-512 75 1 2 CARDINAL cana-512 75 2 2 CARDINAL cana-512 75 3 kn βŠ™ k1 PERSON cana-512 75 4 n pendent vertices ( ORG cana-512 75 5 two CARDINAL cana-512 75 6 two CARDINAL cana-512 76 1 3 CARDINAL cana-512 77 1 1 CARDINAL cana-512 77 2 3 DATE cana-512 77 3 5 DATE cana-512 78 1 2𝑛 CARDINAL cana-512 79 1 1 CARDINAL cana-512 79 2 2 CARDINAL cana-512 79 3 4 DATE cana-512 79 4 6 DATE cana-512 79 5 2𝑛 CARDINAL cana-512 79 6 two CARDINAL cana-512 79 7 2𝑛 CARDINAL cana-512 80 1 2𝑛 CARDINAL cana-512 81 1 2𝑛 CARDINAL cana-512 81 2 2𝑛 CARDINAL cana-512 83 1 βŠ™ PRODUCT cana-512 83 2 k5 βŠ™ k1 PRODUCT cana-512 83 3 3 CARDINAL cana-512 83 4 4 DATE cana-512 84 1 2𝑛 CARDINAL cana-512 84 2 0(π‘šπ‘œπ‘‘ 3 DATE cana-512 84 3 n = 4 LAW cana-512 84 4 βŠ™ k1 PRODUCT cana-512 84 5 2 CARDINAL cana-512 84 6 4 2 CARDINAL cana-512 84 7 2 CARDINAL cana-512 84 8 3 CARDINAL cana-512 84 9 3 CARDINAL cana-512 84 10 βŠ™ ORG cana-512 84 11 2 CARDINAL cana-512 84 12 2𝑛 CARDINAL cana-512 84 13 k5 βŠ™ k1 PRODUCT cana-512 85 1 1074 CARDINAL cana-512 85 2 31 CARDINAL cana-512 85 3 2 CARDINAL cana-512 85 4 2024 CARDINAL cana-512 85 5 47 DATE cana-512 85 6 k5 βŠ™ k1 PRODUCT cana-512 86 1 βŠ™ PRODUCT cana-512 86 2 2 CARDINAL cana-512 86 3 1 CARDINAL cana-512 86 4 5Γ—2 2 CARDINAL cana-512 86 5 1 CARDINAL cana-512 86 6 4 CARDINAL cana-512 86 7 4 CARDINAL cana-512 86 8 4 CARDINAL cana-512 86 9 βŠ™ PRODUCT cana-512 87 1 4 4.2 CARDINAL cana-512 88 1 bipartite NORP cana-512 88 2 bipartite NORP cana-512 88 3 7 CARDINAL cana-512 89 1 4.2 CARDINAL cana-512 89 2 2 CARDINAL cana-512 90 1 2𝑑 CARDINAL cana-512 90 2 5 CARDINAL cana-512 94 1 1 CARDINAL cana-512 94 2 2 CARDINAL cana-512 94 3 3 CARDINAL cana-512 94 4 5 CARDINAL cana-512 94 5 4 CARDINAL cana-512 94 6 5 CARDINAL cana-512 94 7 1074 CARDINAL cana-512 94 8 31 CARDINAL cana-512 94 9 2 CARDINAL cana-512 94 10 2024 CARDINAL cana-512 94 11 48 DATE cana-512 94 12 5 CARDINAL cana-512 94 13 6 CARDINAL cana-512 95 1 2𝑑 CARDINAL cana-512 95 2 5 CARDINAL cana-512 97 1 2𝑑 CARDINAL cana-512 97 2 5 CARDINAL cana-512 97 3 4.3 CARDINAL cana-512 98 1 3 CARDINAL cana-512 99 1 3𝑑 CARDINAL cana-512 99 2 7 CARDINAL cana-512 102 1 + 3 DATE cana-512 102 2 3𝑑. PRODUCT cana-512 102 3 1 CARDINAL cana-512 102 4 2 CARDINAL cana-512 102 5 3 CARDINAL cana-512 102 6 5 CARDINAL cana-512 102 7 4 CARDINAL cana-512 102 8 7 CARDINAL cana-512 102 9 6 CARDINAL cana-512 102 10 6 CARDINAL cana-512 103 1 6 CARDINAL cana-512 103 2 1074 CARDINAL cana-512 103 3 31 CARDINAL cana-512 103 4 2 CARDINAL cana-512 103 5 2024 CARDINAL cana-512 103 6 49 DATE cana-512 103 7 8 CARDINAL cana-512 104 1 3𝑑 CARDINAL cana-512 104 2 7 CARDINAL cana-512 106 1 3𝑑 CARDINAL cana-512 106 2 7 CARDINAL cana-512 106 3 4.3 CARDINAL cana-512 107 1 generalized petersen PERSON cana-512 108 1 generalized petersen ORG cana-512 108 2 v(p(n ORG cana-512 109 1 1 ≀ QUANTITY cana-512 110 1 1 ≀ QUANTITY cana-512 111 1 5,6 CARDINAL cana-512 111 2 4.4 CARDINAL cana-512 112 1 2 CARDINAL cana-512 112 2 p(n PRODUCT cana-512 112 3 2 CARDINAL cana-512 113 1 2 CARDINAL cana-512 113 2 𝑒𝑖𝑒𝑖+2 CARDINAL cana-512 113 3 1 ≀ CARDINAL cana-512 114 1 2n CARDINAL cana-512 114 2 3n CARDINAL cana-512 114 3 2 CARDINAL cana-512 115 1 gcd(n ORG cana-512 115 2 2 CARDINAL cana-512 115 3 2 CARDINAL cana-512 115 4 2 CARDINAL cana-512 115 5 2 CARDINAL cana-512 116 1 2 CARDINAL cana-512 116 2 two CARDINAL cana-512 116 3 1 CARDINAL cana-512 116 4 2 DATE cana-512 116 5 3 DATE cana-512 117 1 2 CARDINAL cana-512 117 2 2 CARDINAL cana-512 118 1 2𝑛 CARDINAL cana-512 119 1 2𝑛 + 1 DATE cana-512 119 2 2𝑛 + 1 DATE cana-512 119 3 2𝑛 CARDINAL cana-512 119 4 2𝑛 + 2 DATE cana-512 120 1 p(n PRODUCT cana-512 120 2 2 CARDINAL cana-512 120 3 2 CARDINAL cana-512 121 1 3𝑛 CARDINAL cana-512 121 2 2𝑛 CARDINAL cana-512 121 3 1 CARDINAL cana-512 123 1 7 CARDINAL cana-512 123 2 generalized petersen ORG cana-512 123 3 16 CARDINAL cana-512 124 1 2 CARDINAL cana-512 126 1 8 CARDINAL cana-512 126 2 1 CARDINAL cana-512 126 3 7 CARDINAL cana-512 126 4 1074 CARDINAL cana-512 126 5 31 CARDINAL cana-512 126 6 2 CARDINAL cana-512 126 7 2024 CARDINAL cana-512 126 8 50 CARDINAL cana-512 126 9 7 CARDINAL cana-512 126 10 2 CARDINAL cana-512 127 1 7 CARDINAL cana-512 127 2 4.5 CARDINAL cana-512 130 1 1 ≀ CARDINAL cana-512 131 1 gcd(n ORG cana-512 133 1 p(n LOC cana-512 133 2 1 CARDINAL cana-512 133 3 2 DATE cana-512 133 4 3 DATE cana-512 135 1 2𝑛 CARDINAL cana-512 136 1 2𝑛 + 1 DATE cana-512 136 2 2𝑛 + 1 DATE cana-512 136 3 2𝑛 CARDINAL cana-512 136 4 2𝑛 + 2 DATE cana-512 138 1 3𝑛 CARDINAL cana-512 138 2 2𝑛 CARDINAL cana-512 138 3 1 CARDINAL cana-512 140 1 4.4 CARDINAL cana-512 141 1 two CARDINAL cana-512 142 1 first ORDINAL cana-512 143 1 2n CARDINAL cana-512 143 2 3n-2 CARDINAL cana-512 145 1 1074 CARDINAL cana-512 145 2 31 CARDINAL cana-512 145 3 2 CARDINAL cana-512 145 4 2024 CARDINAL cana-512 145 5 51 CARDINAL cana-512 145 6 4.6 CARDINAL cana-512 146 1 3 CARDINAL cana-512 148 1 2n CARDINAL cana-512 148 2 3n-2 CARDINAL cana-512 151 1 𝑣1. PERSON cana-512 152 1 2 CARDINAL cana-512 152 2 3 DATE cana-512 153 1 2𝑛 CARDINAL cana-512 153 2 1 CARDINAL cana-512 153 3 8 CARDINAL cana-512 153 4 8 CARDINAL cana-512 154 1 2n+2 PRODUCT cana-512 156 1 3𝑛 CARDINAL cana-512 156 2 2 CARDINAL cana-512 156 3 2𝑛 CARDINAL cana-512 156 4 1 CARDINAL cana-512 159 1 4.5 CARDINAL cana-512 161 1 πΊπ‘š GPE cana-512 161 2 1074 CARDINAL cana-512 161 3 31 CARDINAL cana-512 161 4 2 CARDINAL cana-512 161 5 2024 CARDINAL cana-512 161 6 52 DATE cana-512 161 7 πΊπ‘š GPE cana-512 161 8 two CARDINAL cana-512 161 9 4.7 CARDINAL cana-512 162 1 2 CARDINAL cana-512 162 2 2𝑛 CARDINAL cana-512 162 3 3 CARDINAL cana-512 163 1 1 CARDINAL cana-512 163 2 2 DATE cana-512 163 3 3 DATE cana-512 166 1 1 CARDINAL cana-512 167 1 + 1 DATE cana-512 169 1 + 1 DATE cana-512 170 1 2𝑛 CARDINAL cana-512 170 2 3 CARDINAL cana-512 170 3 3 CARDINAL cana-512 170 4 2 CARDINAL cana-512 172 1 9 CARDINAL cana-512 172 2 9 CARDINAL cana-512 173 1 3 CARDINAL cana-512 173 2 4 CARDINAL cana-512 173 3 2 CARDINAL cana-512 174 1 + 1 DATE cana-512 176 1 2𝑛 CARDINAL cana-512 176 2 3 CARDINAL cana-512 176 3 4 CARDINAL cana-512 176 4 2 CARDINAL cana-512 179 1 8 CARDINAL cana-512 179 2 10 CARDINAL cana-512 179 3 10 CARDINAL cana-512 180 1 4 CARDINAL cana-512 180 2 4 CARDINAL cana-512 180 3 1074 CARDINAL cana-512 180 4 31 CARDINAL cana-512 180 5 2 CARDINAL cana-512 180 6 2024 CARDINAL cana-512 180 7 53 CARDINAL cana-512 180 8 4.8 CARDINAL cana-512 181 1 2 CARDINAL cana-512 183 1 2𝑛 CARDINAL cana-512 184 1 2 CARDINAL cana-512 184 2 1 CARDINAL cana-512 184 3 2 DATE cana-512 184 4 3 DATE cana-512 187 1 1 CARDINAL cana-512 188 1 + 1 DATE cana-512 190 1 + 1 DATE cana-512 191 1 2𝑛 CARDINAL cana-512 191 2 2 CARDINAL cana-512 193 1 5 CARDINAL cana-512 193 2 11 CARDINAL cana-512 193 3 11 CARDINAL cana-512 194 1 5 CARDINAL cana-512 194 2 12 CARDINAL cana-512 195 1 5 CARDINAL cana-512 195 2 2 CARDINAL cana-512 196 1 + 1 DATE cana-512 198 1 2𝑛 CARDINAL cana-512 198 2 2 CARDINAL cana-512 201 1 6 CARDINAL cana-512 201 2 12 CARDINAL cana-512 201 3 1 CARDINAL cana-512 201 4 a. n. dabboucy PERSON cana-512 201 5 k. howalla PERSON cana-512 201 6 1982 DATE cana-512 201 7 nat DATE cana-512 202 1 acad ORG cana-512 203 1 sci. ORG cana-512 203 2 11 CARDINAL cana-512 203 3 365 CARDINAL cana-512 204 1 2 CARDINAL cana-512 204 2 j. a. gallian PERSON cana-512 204 3 2018 DATE cana-512 205 1 combinatorics ORG cana-512 205 2 1. CARDINAL cana-512 206 1 3 CARDINAL cana-512 206 2 j. asplund PERSON cana-512 206 3 n. bradley fox PERSON cana-512 206 4 2017 DATE cana-512 207 1 4 CARDINAL cana-512 207 2 a. h. berliner PERSON cana-512 207 3 n. dean PERSON cana-512 207 4 j. hook PERSON cana-512 207 5 a. marr PERSON cana-512 207 6 a. mbirika PERSON cana-512 207 7 c. d. mcbee PERSON cana-512 207 8 2016 DATE cana-512 207 9 coprime ORG cana-512 207 10 j. integer PERSON cana-512 207 11 19(5 DATE cana-512 208 1 5 CARDINAL cana-512 208 2 k. m. m. haque PERSON cana-512 208 3 l. xiaohui PERSON cana-512 208 4 y. yuansheng PERSON cana-512 208 5 z. pingzhong PERSON cana-512 208 6 2010 DATE cana-512 209 1 generalized petersen graph p ORG cana-512 210 1 utilitas mathematica PERSON cana-512 210 2 83 DATE cana-512 211 1 1074 CARDINAL cana-512 211 2 31 CARDINAL cana-512 211 3 2 CARDINAL cana-512 211 4 2024 CARDINAL cana-512 211 5 54 DATE cana-512 212 1 6 CARDINAL cana-512 212 2 m. prajapati PERSON cana-512 212 3 s. j. gajjar PERSON cana-512 213 1 2015 DATE cana-512 213 2 generalized petersen ORG cana-512 213 3 internat PERSON cana-512 214 1 j. math PERSON cana-512 215 1 5 CARDINAL cana-512 215 2 65 CARDINAL cana-512 216 1 1974 DATE cana-512 217 1 dover GPE cana-512 217 2 2017 DATE cana-512 218 1 8 CARDINAL cana-512 218 2 r. janani PERSON cana-512 218 3 t. ramachandran PERSON cana-512 219 1 659665 CARDINAL cana-512 219 2 2022 CARDINAL cana-512 220 1 9 CARDINAL cana-512 220 2 ramachandran t PERSON cana-512 220 3 5 CARDINAL cana-512 220 4 1 CARDINAL cana-512 220 5 379386 DATE cana-512 221 1 10 CARDINAL cana-512 221 2 r. NORP cana-512 221 3 t. ramachandran PERSON cana-512 222 1 mathematica 48 ORG cana-512 222 2 2023 CARDINAL cana-512 223 1 http://dx.doi.org/10.23755/rm.v48i0.1315 GPE