id sid eid entity type cana-5232 1 1 1074 CARDINAL cana-5232 1 2 32 CARDINAL cana-5232 2 1 2025 CARDINAL cana-5232 2 2 1296 DATE cana-5232 2 3 1 CARDINAL cana-5232 2 4 sri g.v.g visalakshi college ORG cana-5232 4 1 kangeyam ORG cana-5232 5 1 2 CARDINAL cana-5232 5 2 sri g.v.g visalakshi college ORG cana-5232 5 3 1gurusamymathsgasckgm@gmail.com CARDINAL cana-5232 5 4 e. mail PERSON cana-5232 5 5 2angeljoy@gvgvc.ac.in CARDINAL cana-5232 5 6 12-01-2025 CARDINAL cana-5232 5 7 15-02-2025 CARDINAL cana-5232 5 8 01-03-2025 CARDINAL cana-5232 7 1 𝐸ሻ PERSON cana-5232 7 2 ∈ ORG cana-5232 7 3 π›€π‘π‘αˆΊπ‘’ PRODUCT cana-5232 7 4 1 CARDINAL cana-5232 7 5 π›€π‘π‘αˆΊπ‘’ PRODUCT cana-5232 12 1 2020 DATE cana-5232 12 2 05c40 CARDINAL cana-5232 12 3 05c69 CARDINAL cana-5232 12 4 05c76 CARDINAL cana-5232 13 1 1 CARDINAL cana-5232 13 2 two CARDINAL cana-5232 19 1 k. priya PERSON cana-5232 19 2 4 CARDINAL cana-5232 20 1 𝐸ሻ PERSON cana-5232 21 1 2,3 CARDINAL cana-5232 23 1 βŠ† CARDINAL cana-5232 23 2 π‘‰αˆΊπΊαˆ» ORG cana-5232 23 3 π‘‰αˆΊπΊαˆ» ORG cana-5232 24 1 k. priya PERSON cana-5232 24 2 4 CARDINAL cana-5232 25 1 1074 CARDINAL cana-5232 25 2 32 CARDINAL cana-5232 26 1 2025 CARDINAL cana-5232 26 2 1297 CARDINAL cana-5232 26 3 ∈ ORG cana-5232 26 4 π›€πΆπΆαˆΊπ‘’ ORG cana-5232 26 5 1 CARDINAL cana-5232 26 6 π›€πΆπΆαˆΊπ‘’ ORG cana-5232 27 1 π‘π‘π‘αˆΊπ‘£αˆ» PERSON cana-5232 27 2 π›€π‘π‘αˆΊπ‘’ PRODUCT cana-5232 27 3 1 CARDINAL cana-5232 29 1 π‘πΆπΆαˆΊπ‘£αˆ» ORG cana-5232 30 1 π‘π‘π‘αˆΊπ‘£αˆ» = πœ™. 2 PERSON cana-5232 30 2 2.1 CARDINAL cana-5232 30 3 4 CARDINAL cana-5232 30 4 ∈ ORG cana-5232 30 5 π›€πΆπΆαˆΊπ‘’ ORG cana-5232 30 6 1 CARDINAL cana-5232 30 7 π›€πΆπΆαˆΊπ‘’ ORG cana-5232 32 1 4 CARDINAL cana-5232 33 1 1 CARDINAL cana-5232 33 2 1 ≀ QUANTITY cana-5232 36 1 3 CARDINAL cana-5232 38 1 2.3.[4 CARDINAL cana-5232 38 2 π‘‰αˆΊπΊαˆ» ORG cana-5232 39 1 2 CARDINAL cana-5232 39 2 2 1 DATE cana-5232 39 3 2 CARDINAL cana-5232 39 4 2.5 CARDINAL cana-5232 40 1 3 CARDINAL cana-5232 40 2 βˆ€π‘› NORP cana-5232 42 1 3 CARDINAL cana-5232 42 2 two CARDINAL cana-5232 42 3 𝐺2 ORG cana-5232 42 4 1 CARDINAL cana-5232 42 5 one CARDINAL cana-5232 42 6 𝐺1 CARDINAL cana-5232 42 7 |π‘‰αˆΊπΊ1ሻ| ORG cana-5232 42 8 𝐺2 CARDINAL cana-5232 42 9 𝐺1 CARDINAL cana-5232 42 10 𝐺2 CARDINAL cana-5232 42 11 𝐺2 CARDINAL cana-5232 43 1 2 CARDINAL cana-5232 43 2 1074 CARDINAL cana-5232 43 3 32 CARDINAL cana-5232 44 1 2025 CARDINAL cana-5232 44 2 1298 CARDINAL cana-5232 44 3 3.3 CARDINAL cana-5232 45 1 𝑛 β‰₯ 1 DATE cana-5232 46 1 𝐾1 CARDINAL cana-5232 46 2 π‘‰αˆΊπΊαˆ» ORG cana-5232 46 3 𝑑2 GPE cana-5232 47 1 π‘‰αˆΊπΊαˆ» GPE cana-5232 47 2 1 CARDINAL cana-5232 48 1 π‘‰αˆΊπΊαˆ» ORG cana-5232 49 1 2𝑛. CARDINAL cana-5232 49 2 3.4 CARDINAL cana-5232 50 1 𝑛 β‰₯ 1 DATE cana-5232 52 1 𝐾2 CARDINAL cana-5232 52 2 π‘‰αˆΊπΊαˆ» ORG cana-5232 52 3 π‘Žπ‘›π‘‘|π‘‰αˆΊπΊαˆ»| ORG cana-5232 52 4 3𝑛. CARDINAL cana-5232 52 5 1,every CARDINAL cana-5232 53 1 π›€π‘π‘αˆΊπ‘ π‘– GPE cana-5232 53 2 1 CARDINAL cana-5232 53 3 π›€π‘π‘αˆΊπ‘ π‘– GPE cana-5232 53 4 𝑑𝑖2ሻ PERSON cana-5232 53 5 π›€π‘π‘αˆΊπ‘ π‘– GPE cana-5232 53 6 π‘ π‘–βˆ’1ሻ ORG cana-5232 53 7 π›€π‘π‘αˆΊπ‘ π‘– PERSON cana-5232 53 8 0 CARDINAL cana-5232 54 1 one CARDINAL cana-5232 55 1 at least one CARDINAL cana-5232 55 2 𝐷. GPE cana-5232 55 3 one CARDINAL cana-5232 57 1 1 CARDINAL cana-5232 58 1 3.6 CARDINAL cana-5232 60 1 1 CARDINAL cana-5232 63 1 𝑑𝑖2 GPE cana-5232 63 2 𝑑𝑖3 PERSON cana-5232 63 3 𝑑𝑛2 PERSON cana-5232 63 4 1 CARDINAL cana-5232 63 5 one CARDINAL cana-5232 63 6 𝑆 GPE cana-5232 64 1 one CARDINAL cana-5232 64 2 𝑆 GPE cana-5232 65 1 3.7 CARDINAL cana-5232 65 2 πΆπ‘š ∘ 𝐾1 FAC cana-5232 65 3 3 CARDINAL cana-5232 67 1 π‘‰αˆΊπΊαˆ» ORG cana-5232 68 1 𝐾1 CARDINAL cana-5232 69 1 2π‘š. CARDINAL cana-5232 70 1 1074 CARDINAL cana-5232 70 2 32 CARDINAL cana-5232 71 1 2025 CARDINAL cana-5232 71 2 1299 CARDINAL cana-5232 73 1 π‘π‘π‘αˆΊπ‘’π‘–αˆ» ORG cana-5232 73 2 2 ≀ MONEY cana-5232 74 1 figure.2 PRODUCT cana-5232 75 1 1.3 CARDINAL cana-5232 75 2 3 CARDINAL cana-5232 76 1 3 CARDINAL cana-5232 76 2 3.8 CARDINAL cana-5232 77 1 πΆπ‘š ∘ 𝐾2 ORG cana-5232 79 1 3 CARDINAL cana-5232 79 2 2 CARDINAL cana-5232 82 1 π‘‰αˆΊπΆπ‘šαˆ» GPE cana-5232 83 1 𝐾2 ORG cana-5232 83 2 π‘‰αˆΊπΊαˆ» ORG cana-5232 83 3 3π‘š. CARDINAL cana-5232 83 4 π‘£αˆΊπ‘–+1ሻ1 ORG cana-5232 84 1 8 CARDINAL cana-5232 85 1 1,2 CARDINAL cana-5232 85 2 𝐷2 ORG cana-5232 86 1 3 CARDINAL cana-5232 86 2 3.9 CARDINAL cana-5232 87 1 1 CARDINAL cana-5232 88 1 3 CARDINAL cana-5232 91 1 π‘‰αˆΊπΆπ‘šαˆ» GPE cana-5232 92 1 𝑣𝑖3 GPE cana-5232 92 2 π‘‰αˆΊπΊαˆ» ORG cana-5232 94 1 1ሻth CARDINAL cana-5232 95 1 + 1ሻth CARDINAL cana-5232 95 2 3𝑛 + 2 CARDINAL cana-5232 95 3 one CARDINAL cana-5232 96 1 |𝐷| PERSON cana-5232 96 2 3 CARDINAL cana-5232 96 3 1074 CARDINAL cana-5232 96 4 32 CARDINAL cana-5232 97 1 2025 CARDINAL cana-5232 97 2 1300 CARDINAL cana-5232 97 3 3.10 CARDINAL cana-5232 98 1 𝐻1 ORG cana-5232 98 2 two CARDINAL cana-5232 98 3 𝐻2 β‰  𝐾1 QUANTITY cana-5232 101 1 𝐻1 ORG cana-5232 101 2 𝐻2 CARDINAL cana-5232 102 1 𝐻2 CARDINAL cana-5232 102 2 𝐻2 CARDINAL cana-5232 103 1 𝐻2 CARDINAL cana-5232 103 2 𝐻1 CARDINAL cana-5232 104 1 𝐻1 ORG cana-5232 104 2 one CARDINAL cana-5232 104 3 π‘‰αˆΊπΊαˆ» GPE cana-5232 104 4 one CARDINAL cana-5232 104 5 𝐷. GPE cana-5232 104 6 3.11 CARDINAL cana-5232 105 1 𝐻1 ORG cana-5232 107 1 + |π‘‰αˆΊπ»1ሻ||π‘‰αˆΊπ»2ሻ| PERSON cana-5232 109 1 𝐺1 CARDINAL cana-5232 109 2 𝐻1 CARDINAL cana-5232 110 1 𝐻2 CARDINAL cana-5232 111 1 𝐻1 ORG cana-5232 111 2 𝐻2 CARDINAL cana-5232 112 1 𝐻2 PRODUCT cana-5232 113 1 𝐻1 ORG cana-5232 114 1 1.1 CARDINAL cana-5232 116 1 + |π‘‰αˆΊπ»1ሻ||π‘‰αˆΊπ»2ሻ| PERSON cana-5232 116 2 3.12 CARDINAL cana-5232 117 1 12 CARDINAL cana-5232 118 1 1 CARDINAL cana-5232 120 1 3 CARDINAL cana-5232 120 2 2 CARDINAL cana-5232 120 3 3 CARDINAL cana-5232 122 1 3 CARDINAL cana-5232 122 2 4 CARDINAL cana-5232 122 3 π›Ύπ‘π‘αˆΊπ‘ƒπ‘›αˆ» 4 ORG cana-5232 122 4 two CARDINAL cana-5232 125 1 5 CARDINAL cana-5232 126 1 5 CARDINAL cana-5232 129 1 1074 CARDINAL cana-5232 129 2 32 CARDINAL cana-5232 130 1 2025 CARDINAL cana-5232 130 2 1301 DATE cana-5232 131 1 1 CARDINAL cana-5232 131 2 r. NORP cana-5232 131 3 f. PERSON cana-5232 131 4 two CARDINAL cana-5232 133 1 4 CARDINAL cana-5232 133 2 322 CARDINAL cana-5232 133 3 1970 DATE cana-5232 134 1 2 CARDINAL cana-5232 134 2 haynes ORG cana-5232 134 3 w. PERSON cana-5232 134 4 stephen hedetniemi PERSON cana-5232 134 5 peter slater PERSON cana-5232 136 1 crc press ORG cana-5232 136 2 2013 DATE cana-5232 137 1 3 CARDINAL cana-5232 137 2 w. domination PERSON cana-5232 137 3 2 CARDINAL cana-5232 138 1 2017 DATE cana-5232 139 1 4 CARDINAL cana-5232 139 2 k. PERSON cana-5232 139 3 anil kumar PERSON cana-5232 139 4 palestine journal of mathematics ORG cana-5232 139 5 2023 CARDINAL cana-5232 140 1 5 CARDINAL cana-5232 140 2 dekker ORG cana-5232 140 3 a.h ORG cana-5232 140 4 colbert ORG cana-5232 140 5 27th ORDINAL cana-5232 140 6 26(2004 CARDINAL cana-5232 140 7 359 368 CARDINAL