Total Face Irregularity Strength of Certain Graphs

<div>Total face irregularity strength of <i>C</i>-necklace graph <span class="nowrap"><svg height="19.9989pt" id="M159" style="vertical-align:-5.9935pt" version="1.1" viewbox="-0.0498162 -14.0054 61.5239 19.9989" width="61.5239pt" 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="M614 175C564 76 510 21 408 21C256 21 146 149 146 336C146 488 235 629 402 629C510 629 570 586 597 480L626 488C620 541 614 582 606 638C578 643 510 665 429 665C206 665 44 527 44 316C44 157 153 -15 402 -15C474 -15 558 5 586 11C604 45 629 119 643 165L614 175Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.645,0)"><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,-0.013,18.373,0)"><path d="M290 -163V-135C183 -126 181 -122 181 -44V583C181 662 184 666 290 675V703H120V-163H290Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.858,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,33.02,5.233)"><path d="M443 227C443 310 376 399 246 399C216 399 175 385 139 374L163 546H394L422 615L414 623H124L84 318C106 325 144 336 186 336C298 336 353 275 353 189C353 120 311 45 229 45C168 45 125 77 103 97C92 105 84 102 73 94C61 84 52 69 51 61C48 47 52 40 66 25C84 9 127 -12 175 -12C229 -11 296 15 350 59C413 107 443 167 443 227Z"></path></g><g transform="matrix(.013,0,0,-0.013,37.24,0)"><path d="M114 412C81 412 58 388 58 355C58 321 81 297 113 297S169 321 169 355C169 388 145 412 114 412ZM95 130C70 130 46 114 46 88C46 72 54 65 59 64C93 56 121 33 121 -3C121 -41 93 -68 45 -88L56 -118C117 -99 186 -56 186 22C186 91 131 130 95 130Z"></path></g><g transform="matrix(.013,0,0,-0.013,42.383,0)"><path d="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,52.611,-9.852)"><path d="M443 227C443 310 376 399 246 399C216 399 175 385 139 374L163 546H394L422 615L414 623H124L84 318C106 325 144 336 186 336C298 336 353 275 353 189C353 120 311 45 229 45C168 45 125 77 103 97C92 105 84 102 73 94C61 84 52 69 51 61C48 47 52 40 66 25C84 9 127 -12 175 -12C229 -11 296 15 350 59C413 107 443 167 443 227Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,52.545,5.885)"><path d="M443 227C443 310 376 399 246 399C216 399 175 385 139 374L163 546H394L422 615L414 623H124L84 318C106 325 144 336 186 336C298 336 353 275 353 189C353 120 311 45 229 45C168 45 125 77 103 97C92 105 84 102 73 94C61 84 52 69 51 61C48 47 52 40 66 25C84 9 127 -12 175 -12C229 -11 296 15 350 59C413 107 443 167 443 227Z"></path></g><g transform="matrix(.013,0,0,-0.013,56.83,0)"><path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path></g></svg>.</span></div>

Mathematical Problems in Engineering

Total Face Irregularity Strength of Certain Graphs

Figure 2