On the Study of Reverse Degree-Based Topological Properties for the Third Type of <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.526899pt" id="M1" height="16.8133pt" version="1.1" viewBox="-0.0657574 -12.2864 27.7714 16.8133" width="27.7714pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-113" d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"/></g><g transform="matrix(.017,0,0,-0.017,13.048,0)"><path id="g190-117" d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z"/></g><g transform="matrix(.017,0,0,-0.017,18.386,0)"><path id="g190-105" d="M513 0V26C455 31 447 37 447 103V278C447 398 390 449 309 449C255 449 202 412 166 376V712C127 700 67 684 19 677V653C85 647 87 643 87 580V103C87 37 79 31 19 26L18 0H231V26C171 32 166 39 166 103V341C194 373 232 392 270 392C337 392 368 351 368 269V103C368 38 360 32 302 26V0H513Z"/></g></svg> Chain Hex-Derived Network

<div>Numerical comparison of <span class="nowrap"><svg height="12.4177pt" id="M386" style="vertical-align:-3.18155pt" version="1.1" viewbox="-0.0498162 -9.23615 144.315 12.4177" width="144.315pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M813 114C785 84 767 69 759 69C706 69 706 154 694 237C687 293 662 353 617 381V383C698 414 741 479 741 555C741 596 724 631 689 660C655 689 607 704 545 704L412 607C365 666 306 695 235 695C183 695 139 681 103 653C68 626 50 588 50 540C50 450 164 435 164 350C164 311 125 281 89 269L98 247C143 258 181 278 214 307S264 368 264 401C264 490 191 500 161 550C134 588 153 667 216 664C288 664 324 578 324 405C324 364 324 330 323 305S321 247 318 208S310 140 302 119C295 99 285 89 273 89S221 109 153 150L59 5L81 -9C92 8 107 25 125 40C137 38 176 17 243 -22C339 71 412 201 440 322L514 340C549 329 566 278 566 187C566 141 574 97 589 56C605 15 630 -11 665 -22H679C702 -9 728 10 759 34S813 78 829 94L813 114ZM444 357C447 386 448 422 448 465C448 500 441 536 428 573C468 613 492 627 531 627C560 627 583 617 599 596C616 575 624 554 624 531C624 456 582 387 477 364L444 357Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.362,0)"><path d="M691 0L459 662H291L50 0H95L173 209H441L518 0H691ZM630 44H547L345 618H428L630 44ZM425 253H189L308 585H310L425 253Z"></path></g><g transform="matrix(.013,0,0,-0.013,20.995,0)"><path d="M70 662V0H388C518 0 626 42 626 191C626 259 594 320 530 347C583 374 608 427 608 484C608 628 469 662 352 662H70ZM491 597C539 573 564 537 564 482C564 423 542 393 491 370V597ZM447 369C425 367 403 366 381 366H236V618H388C407 618 428 613 447 606V369ZM491 318C551 303 582 249 582 189C582 120 558 76 491 52V318ZM447 52C427 47 408 44 389 44H236V322H381C403 322 425 321 447 319V52ZM192 44H114V618H192V44Z"></path></g><g transform="matrix(.013,0,0,-0.013,29.852,0)"><path d="M632 159C554 79 496 30 378 30C330 30 251 50 213 80V583C258 614 324 632 379 632C497 632 552 583 630 503L661 534C584 627 498 676 375 676C172 676 45 529 45 332C45 140 176 -14 374 -14C497 -14 586 35 663 128L632 159ZM169 118C160 125 155 134 148 145C111 201 89 264 89 332C89 416 122 490 169 558V118Z"></path></g><g transform="matrix(.013,0,0,-0.013,39.017,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,44.16,0)"><path d="M813 114C785 84 767 69 759 69C706 69 706 154 694 237C687 293 662 353 617 381V383C698 414 741 479 741 555C741 596 724 631 689 660C655 689 607 704 545 704L412 607C365 666 306 695 235 695C183 695 139 681 103 653C68 626 50 588 50 540C50 450 164 435 164 350C164 311 125 281 89 269L98 247C143 258 181 278 214 307S264 368 264 401C264 490 191 500 161 550C134 588 153 667 216 664C288 664 324 578 324 405C324 364 324 330 323 305S321 247 318 208S310 140 302 119C295 99 285 89 273 89S221 109 153 150L59 5L81 -9C92 8 107 25 125 40C137 38 176 17 243 -22C339 71 412 201 440 322L514 340C549 329 566 278 566 187C566 141 574 97 589 56C605 15 630 -11 665 -22H679C702 -9 728 10 759 34S813 78 829 94L813 114ZM444 357C447 386 448 422 448 465C448 500 441 536 428 573C468 613 492 627 531 627C560 627 583 617 599 596C616 575 624 554 624 531C624 456 582 387 477 364L444 357Z"></path></g><g transform="matrix(.013,0,0,-0.013,55.522,0)"><path d="M692 302H438V274C537 267 543 260 543 188V103C543 61 531 48 511 37C489 26 458 20 424 20C231 20 146 188 146 333C146 517 258 630 411 630C507 630 582 597 606 474L634 480C627 546 622 601 619 636C586 643 510 665 426 665C230 665 44 552 44 321C44 122 191 -15 411 -15C491 -15 573 7 635 21C629 49 628 81 628 116V202C628 261 632 266 692 274V302Z"></path></g><g transform="matrix(.013,0,0,-0.013,64.817,0)"><path d="M673 0V28C608 34 594 43 563 129C499 303 432 494 370 665L339 656L132 132C98 43 84 37 20 28V0H238V28C162 35 154 45 175 108C188 150 203 192 219 237H432C454 176 474 122 487 83S491 36 428 28V0H673ZM418 280H234C265 362 296 450 328 535H330L418 280Z"></path></g><g transform="matrix(.013,0,0,-0.013,73.869,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,79.012,0)"><path d="M813 114C785 84 767 69 759 69C706 69 706 154 694 237C687 293 662 353 617 381V383C698 414 741 479 741 555C741 596 724 631 689 660C655 689 607 704 545 704L412 607C365 666 306 695 235 695C183 695 139 681 103 653C68 626 50 588 50 540C50 450 164 435 164 350C164 311 125 281 89 269L98 247C143 258 181 278 214 307S264 368 264 401C264 490 191 500 161 550C134 588 153 667 216 664C288 664 324 578 324 405C324 364 324 330 323 305S321 247 318 208S310 140 302 119C295 99 285 89 273 89S221 109 153 150L59 5L81 -9C92 8 107 25 125 40C137 38 176 17 243 -22C339 71 412 201 440 322L514 340C549 329 566 278 566 187C566 141 574 97 589 56C605 15 630 -11 665 -22H679C702 -9 728 10 759 34S813 78 829 94L813 114ZM444 357C447 386 448 422 448 465C448 500 441 536 428 573C468 613 492 627 531 627C560 627 583 617 599 596C616 575 624 554 624 531C624 456 582 387 477 364L444 357Z"></path></g><g transform="matrix(.013,0,0,-0.013,90.374,0)"><path d="M785 0V662H639L430 77H427L225 662H70V0H92H114V469H116L279 0H449L617 472H619V0H785ZM741 44H663V618H741V44ZM393 44H310L131 557L112 618H192L393 44Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,101.489,3.132)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z"></path></g><g transform="matrix(.013,0,0,-0.013,106.435,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,111.578,0)"><path d="M813 114C785 84 767 69 759 69C706 69 706 154 694 237C687 293 662 353 617 381V383C698 414 741 479 741 555C741 596 724 631 689 660C655 689 607 704 545 704L412 607C365 666 306 695 235 695C183 695 139 681 103 653C68 626 50 588 50 540C50 450 164 435 164 350C164 311 125 281 89 269L98 247C143 258 181 278 214 307S264 368 264 401C264 490 191 500 161 550C134 588 153 667 216 664C288 664 324 578 324 405C324 364 324 330 323 305S321 247 318 208S310 140 302 119C295 99 285 89 273 89S221 109 153 150L59 5L81 -9C92 8 107 25 125 40C137 38 176 17 243 -22C339 71 412 201 440 322L514 340C549 329 566 278 566 187C566 141 574 97 589 56C605 15 630 -11 665 -22H679C702 -9 728 10 759 34S813 78 829 94L813 114ZM444 357C447 386 448 422 448 465C448 500 441 536 428 573C468 613 492 627 531 627C560 627 583 617 599 596C616 575 624 554 624 531C624 456 582 387 477 364L444 357Z"></path></g><g transform="matrix(.013,0,0,-0.013,122.941,0)"><path d="M648 0V662H482V353H236V662H70V0H236V309H482V0H648ZM604 44H526V618H604V44ZM192 44H114V618H192V44Z"></path></g><g transform="matrix(.013,0,0,-0.013,132.275,0)"><path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z"></path></g></svg>,</span> and <svg height="9.57303pt" id="M387" style="vertical-align:-0.3368807pt" version="1.1" viewbox="-0.0498162 -9.23615 18.9029 9.57303" width="18.9029pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M813 114C785 84 767 69 759 69C706 69 706 154 694 237C687 293 662 353 617 381V383C698 414 741 479 741 555C741 596 724 631 689 660C655 689 607 704 545 704L412 607C365 666 306 695 235 695C183 695 139 681 103 653C68 626 50 588 50 540C50 450 164 435 164 350C164 311 125 281 89 269L98 247C143 258 181 278 214 307S264 368 264 401C264 490 191 500 161 550C134 588 153 667 216 664C288 664 324 578 324 405C324 364 324 330 323 305S321 247 318 208S310 140 302 119C295 99 285 89 273 89S221 109 153 150L59 5L81 -9C92 8 107 25 125 40C137 38 176 17 243 -22C339 71 412 201 440 322L514 340C549 329 566 278 566 187C566 141 574 97 589 56C605 15 630 -11 665 -22H679C702 -9 728 10 759 34S813 78 829 94L813 114ZM444 357C447 386 448 422 448 465C448 500 441 536 428 573C468 613 492 627 531 627C560 627 583 617 599 596C616 575 624 554 624 531C624 456 582 387 477 364L444 357Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.362,0)"><path d="M567 618V662H70V0H236V304H501V348H236V618H567ZM192 44H114V618H192V44Z"></path></g></svg> for Case 2.</div>

Journal of Mathematics

tab2

Table 2

Table 2: On the Study of Reverse Degree-Based Topological Properties for the Third Type of <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-4.526899pt" id="M1" height="16.8133pt" version="1.1" viewBox="-0.0657574 -12.2864 27.7714 16.8133" width="27.7714pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g113-113" d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"/></g><g transform="matrix(.017,0,0,-0.017,13.048,0)"><path id="g190-117" d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z"/></g><g transform="matrix(.017,0,0,-0.017,18.386,0)"><path id="g190-105" d="M513 0V26C455 31 447 37 447 103V278C447 398 390 449 309 449C255 449 202 412 166 376V712C127 700 67 684 19 677V653C85 647 87 643 87 580V103C87 37 79 31 19 26L18 0H231V26C171 32 166 39 166 103V341C194 373 232 392 270 392C337 392 368 351 368 269V103C368 38 360 32 302 26V0H513Z"/></g></svg> Chain Hex-Derived Network 

Journal of Mathematics

On the Study of Reverse Degree-Based Topological Properties for the Third Type of Chain Hex-Derived Network

Table 2