On the Fractional Metric Dimension of Convex Polytopes

<table class="table-group" id="tab17"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Network</td><td class="align_center" colspan="2">Values of FMD as they tend to <svg height="6.1673pt" id="M1199" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 13.4094 6.1673" width="13.4094pt" 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="M983 225C983 348 891 448 766 448C646 448 579 377 521 276C458 383 382 448 256 448C165 448 37 373 37 208C37 98 119 -12 256 -12C375 -12 440 60 498 161C561 53 639 -12 766 -12C865 -12 983 64 983 225ZM478 196C428 106 365 21 266 21C183 21 129 114 129 240C129 353 183 415 244 415C352 415 420 301 478 196ZM889 204C889 66 838 21 776 21C666 21 598 135 540 241C590 331 655 415 754 415C842 415 889 320 889 204Z"></path></g></svg></td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left"><span style="width: 16.7717ptpx;"><svg height="11.9792pt" id="M1200" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -8.68809 16.7717 11.9792" width="16.7717pt" 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="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(.0091,0,0,-0.0091,8.788,3.132)"><path d="M781 91L765 118C733 86 702 70 693 70C686 70 685 77 692 106L738 297C772 439 736 451 712 451S675 445 647 431C605 410 526 356 452 257H450L459 294C491 426 459 451 429 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<div>Upper bounds of FMD as they tend to <span class="nowrap"><svg height="6.1673pt" id="M1197" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 13.4094 6.1673" width="13.4094pt" 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="M983 225C983 348 891 448 766 448C646 448 579 377 521 276C458 383 382 448 256 448C165 448 37 373 37 208C37 98 119 -12 256 -12C375 -12 440 60 498 161C561 53 639 -12 766 -12C865 -12 983 64 983 225ZM478 196C428 106 365 21 266 21C183 21 129 114 129 240C129 353 183 415 244 415C352 415 420 301 478 196ZM889 204C889 66 838 21 776 21C666 21 598 135 540 241C590 331 655 415 754 415C842 415 889 320 889 204Z"></path></g></svg>,</span> where <span class="nowrap"><svg height="11.5564pt" id="M1198" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 118.304 11.5564" width="118.304pt" xmlns="http://www.w3.org/2000/svg" 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Mathematical Problems in Engineering

On the Fractional Metric Dimension of Convex Polytopes

Table 17