On Topological Analysis of Niobium (II) Oxide Network via Curve Fitting and Entropy Measures

<table class="table-group" id="tab1"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left"><span style="width: 23.7048ptpx;"><svg height="11.5564pt" id="M46" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 23.7048 11.5564" width="23.7048pt" 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="M629 197C619 162 607 127 581 101C550 70 506 64 464 64C428 64 392 71 358 80C310 92 264 109 219 128C219 129 286 209 320 250C324 299 304 345 283 388C271 413 259 439 251 465C245 483 240 502 240 522C240 550 252 576 272 596C300 624 339 639 378 639C409 639 441 634 464 612C474 602 477 588 479 574C483 553 482 532 480 511C476 482 471 439 485 426C494 417 505 410 517 404L623 431V452C605 452 581 452 570 463C565 468 565 476 565 483C565 491 568 519 570 538C573 561 573 586 569 609C566 626 561 643 549 655C523 681 484 686 448 686C368 686 291 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transform="matrix(.013,0,0,-0.013,19.019,0)"><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></span></td><td class="align_center">Frequency</td><td class="align_center">Set of vertices</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">2</td><td class="align_center">8</td><td class="align_center"><span style="width: 12.4056ptpx;"><svg height="11.8174pt" id="M47" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 12.4056 11.8174" width="12.4056pt" 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="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.332,3.132)"><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></svg></span></td></tr><tr><td class="align_left">3</td><td class="align_center"><span style="width: 93.4371ptpx;"><svg height="9.63826pt" id="M48" style="vertical-align:-0.3499298pt" version="1.1" viewbox="-0.0498162 -9.28833 93.4371 9.63826" width="93.4371pt" 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="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 225H82C149 335 214 431 278 520H280V225Z"></path></g><g transform="matrix(.013,0,0,-0.013,6.24,0)"><path d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 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<div>Vertex partition of <span class="nowrap"><svg height="9.5404pt" id="M45" style="vertical-align:-0.2324991pt" version="1.1" viewbox="-0.0498162 -9.3079 26.2102 9.5404" width="26.2102pt" 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="M719 650H483V622C553 619 576 606 581 560C585 532 588 487 588 394V148H585L167 650H20V622C67 618 88 610 109 585C127 562 129 557 129 484V264C129 173 126 124 123 93C118 44 92 31 35 28V0H272V28C204 32 181 44 176 95C173 124 170 172 170 264V515H172L598 -9H629V394C629 487 631 532 635 563C639 606 663 619 719 622V650Z"></path></g><g transform="matrix(.013,0,0,-0.013,9.698,0)"><path d="M152 404V712C115 698 54 683 7 677V654C71 648 73 642 73 579V24C128 -2 179 -12 220 -12C353 -12 471 92 471 238C471 357 381 449 274 449C262 449 249 446 233 439L152 404ZM152 374C170 384 202 393 230 393C313 393 382 326 382 213C382 97 330 26 246 26C194 26 165 62 158 81C154 91 152 101 152 116V374Z"></path></g><g transform="matrix(.013,0,0,-0.013,16.302,0)"><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></svg>.</span></div>

Complexity

tab1

Table 1

Table 1: On Topological Analysis of Niobium (II) Oxide Network via Curve Fitting and Entropy Measures 