Three-Dimensional Structural Modelling and Characterization of Sodalite Material Network concerning the Irregularity Topological Indices

<div>Edge partition of sodalite materials network <svg height="12.4698pt" id="M52" style="vertical-align:-3.16842pt" version="1.1" viewbox="-0.0498162 -9.30138 65.4216 12.4698" width="65.4216pt" 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="M409 504C401 567 396 607 392 642C354 654 312 665 266 665C137 665 60 583 60 487C60 374 161 325 225 290C300 250 355 215 355 141C355 68 311 21 235 21C131 21 86 122 71 183L41 176C48 128 61 42 68 21C78 16 93 8 118 0C142 -7 175 -15 216 -15C349 -15 438 69 438 174C438 287 344 333 265 374C186 414 138 449 138 522C138 576 172 631 249 631C336 631 363 562 380 499L409 504Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.162,0)"><path d="M381 665C170 665 44 498 44 318C44 125 188 -15 369 -15C552 -15 703 117 703 333C703 534 550 665 381 665ZM359 629C491 629 601 517 601 306C601 114 502 21 390 21C249 21 146 158 146 346S248 629 359 629Z"></path></g><g transform="matrix(.013,0,0,-0.013,15.756,0)"><path d="M43 650V622C120 616 128 612 128 526V124C128 39 120 33 34 27V0H270C392 0 492 25 567 83C643 141 690 230 690 350C690 444 655 517 605 565C543 625 450 650 323 650H43ZM213 547C213 587 217 598 226 604C236 612 262 617 304 617C371 617 429 604 474 576C554 529 592 439 592 336C592 176 505 36 319 36C246 36 213 55 213 131V547Z"></path></g><g transform="matrix(.013,0,0,-0.013,25.311,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,29.809,0)"><path d="M215 117C187 88 147 62 136 62C130 62 126 68 132 97C173 294 214 489 255 682C259 703 258 712 249 712C236 712 179 685 101 677L97 652H125C170 651 176 645 166 601C132 437 97 273 62 109C41 11 57 -12 77 -12C108 -12 179 33 230 95L215 117Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.882,0)"><path d="M245 -1H206L168 -51C148 -77 154 -91 179 -114C190 -125 202 -137 202 -153C202 -173 184 -195 142 -213L154 -239C225 -218 269 -180 269 -138C269 -115 257 -97 230 -69C213 -53 210 -45 224 -28L245 -1Z"></path></g><g transform="matrix(.013,0,0,-0.013,33.175,0)"><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,-0.013,38.318,0)"><path d="M735 109C706 81 676 63 667 63C661 63 659 70 665 95L714 304C745 437 713 449 692 449C674 449 657 443 632 430C588 406 516 351 448 256H446L455 297C484 424 459 449 431 449C412 449 393 442 370 429C328 404 259 351 190 255H188L206 325C227 412 223 449 198 449C172 449 113 413 57 353L69 328C93 351 128 377 138 377C144 376 147 371 139 334C114 222 86 108 56 -5L63 -11C84 -4 109 3 135 6C147 66 162 133 176 178C208 242 329 386 378 386C398 386 400 363 386 295C365 198 339 96 314 -5L320 -11C341 -4 366 3 393 6C404 65 420 131 432 178C467 245 588 386 636 386C651 386 657 370 645 321L592 90C574 17 583 -12 607 -12C632 -12 695 24 748 84L735 109Z"></path></g><g transform="matrix(.013,0,0,-0.013,40.843,0)"><path d="M245 -1H206L168 -51C148 -77 154 -91 179 -114C190 -125 202 -137 202 -153C202 -173 184 -195 142 -213L154 -239C225 -218 269 -180 269 -138C269 -115 257 -97 230 -69C213 -53 210 -45 224 -28L245 -1Z"></path></g><g transform="matrix(.013,0,0,-0.013,48.588,0)"><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,-0.013,53.731,0)"><path d="M480 109C451 80 424 63 415 63C408 63 407 72 413 99C429 168 446 238 462 306C492 434 464 449 439 449C420 449 399 442 373 426C331 402 257 344 189 251H187L208 338C226 415 222 449 200 449C172 449 114 412 59 354L73 330C98 354 128 375 137 375C143 375 146 367 139 335C114 224 85 105 57 -4L63 -11C82 -4 109 3 135 8C147 69 162 128 174 177C224 262 340 385 384 385C399 385 405 371 391 314C374 240 357 166 339 92C320 15 330 -12 354 -12C380 -12 436 20 495 85L480 109Z"></path></g><g transform="matrix(.013,0,0,-0.013,54.592,0)"><path d="M245 -1H206L168 -51C148 -77 154 -91 179 -114C190 -125 202 -137 202 -153C202 -173 184 -195 142 -213L154 -239C225 -218 269 -180 269 -138C269 -115 257 -97 230 -69C213 -53 210 -45 224 -28L245 -1Z"></path></g><g transform="matrix(.013,0,0,-0.013,60.673,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> on the degree of end vertices of each edge.</div>

Journal of Mathematics

tab1

Table 1

Table 1: Three-Dimensional Structural Modelling and Characterization of Sodalite Material Network concerning the Irregularity Topological Indices 