Extremal Unicyclic Graphs for the Euler Sombor Index: Applications to Benzenoid Hydrocarbons and Drug Molecules
Abstract
:1. Introduction
2. The Minimal Euler Sombor Index in
3. The Maximal Euler Sombor Index in
4. Chemical Applications of the Euler Sombor Index
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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BH | BP | F | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
BH1 | 10 | 218 | 43.416 | 35.635 | 165.449 | 90 | 172 | 50 | 57 | 6.014 |
BH2 | 14 | 338 | 65.991 | 54.160 | 252.416 | 170 | 409 | 76 | 91 | 7.408 |
BH3 | 14 | 340 | 66.048 | 54.300 | 263.016 | 180 | 500 | 76 | 90 | 7.394 |
BH4 | 18 | 431 | 88.565 | 72.685 | 362.011 | 280 | 995 | 102 | 125 | 9.619 |
BH5 | 18 | 425 | 88.622 | 72.825 | 361.297 | 284 | 938 | 102 | 124 | 9.605 |
BH6 | 18 | 429 | 88.507 | 72.545 | 362.725 | 246 | 729 | 102 | 126 | 9.633 |
BH7 | 18 | 440 | 88.680 | 72.965 | 360.583 | 298 | 1085 | 102 | 123 | 9.591 |
BH8 | 20 | 496 | 104.211 | 85.553 | 437.664 | 318 | 1080 | 120 | 151 | 10.830 |
BH9 | 20 | 493 | 104.153 | 85.413 | 438.379 | 286 | 862 | 120 | 152 | 10.844 |
BH10 | 20 | 497 | 104.153 | 85.413 | 438.379 | 286 | 862 | 120 | 152 | 10.844 |
BH11 | 22 | 547 | 119.857 | 98.421 | 513.318 | 356 | 1201 | 138 | 177 | 12.041 |
BH12 | 22 | 542 | 119.799 | 98.281 | 514.032 | 326 | 995 | 138 | 178 | 12.055 |
BH13 | 22 | 535 | 111.139 | 91.210 | 460.292 | 370 | 1344 | 128 | 159 | 11.830 |
BH14 | 22 | 536 | 111.197 | 91.350 | 459.578 | 424 | 1780 | 128 | 158 | 11.816 |
BH15 | 22 | 531 | 111.197 | 91.350 | 459.578 | 402 | 1584 | 128 | 158 | 11.816 |
BH16 | 22 | 519 | 111.139 | 91.210 | 460.292 | 424 | 1780 | 128 | 159 | 11.830 |
BH17 | 24 | 590 | 135.445 | 111.149 | 589.686 | 366 | 1128 | 156 | 204 | 13.266 |
BH18 | 24 | 592 | 126.727 | 103.938 | 536.659 | 411 | 1484 | 146 | 186 | 13.055 |
BH19 | 24 | 596 | 126.785 | 104.078 | 535.945 | 466 | 1926 | 146 | 185 | 13.041 |
BH20 | 24 | 594 | 126.785 | 104.078 | 535.945 | 466 | 1927 | 146 | 185 | 13.041 |
BH21 | 24 | 595 | 126.727 | 103.938 | 536.659 | 392 | 1349 | 146 | 186 | 13.055 |
Index | F | |||||||
---|---|---|---|---|---|---|---|---|
R | 0.9009 | 0.9012 | 0.9038 | 0.8004 | 0.7269 | 0.9007 | 0.8971 | 0.2924 |
Drug Molecules | BP | ||||
---|---|---|---|---|---|
Carmustine | 12 | 404.0 | 40.208 | 33.415 | 146.254 |
Convolutamydine B | 16 | 496.7 | 75.512 | 63.265 | 328.024 |
Bunitrolol | 17 | 414.2 | 70.562 | 59.579 | 286.141 |
Perfragilin A | 17 | 413.5 | 78.841 | 65.774 | 338.283 |
Melatonin | 17 | 512.8 | 73.336 | 60.810 | 290.423 |
Aspirin | 20 | 321.4 | 52.642 | 44.042 | 207.560 |
Podophyllotoxin | 29 | 597.9 | 142.744 | 117.694 | 603.003 |
Deguelin | 31 | 560.1 | 147.033 | 134.880 | 734.123 |
Aminopterin | 32 | 551.7 | 141.805 | 118.149 | 571.435 |
Minocycline | 35 | 563.3 | 184.633 | 155.027 | 863.063 |
Index | |||
---|---|---|---|
R | 0.8319 | 0.8313 | 0.7911 |
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Su, Z.; Tang, Z. Extremal Unicyclic Graphs for the Euler Sombor Index: Applications to Benzenoid Hydrocarbons and Drug Molecules. Axioms 2025, 14, 249. https://doi.org/10.3390/axioms14040249
Su Z, Tang Z. Extremal Unicyclic Graphs for the Euler Sombor Index: Applications to Benzenoid Hydrocarbons and Drug Molecules. Axioms. 2025; 14(4):249. https://doi.org/10.3390/axioms14040249
Chicago/Turabian StyleSu, Zhenhua, and Zikai Tang. 2025. "Extremal Unicyclic Graphs for the Euler Sombor Index: Applications to Benzenoid Hydrocarbons and Drug Molecules" Axioms 14, no. 4: 249. https://doi.org/10.3390/axioms14040249
APA StyleSu, Z., & Tang, Z. (2025). Extremal Unicyclic Graphs for the Euler Sombor Index: Applications to Benzenoid Hydrocarbons and Drug Molecules. Axioms, 14(4), 249. https://doi.org/10.3390/axioms14040249