Fault-Tolerant Resolvability in Some Classes of Subdivision Graphs

<div>Necklace graph <span class="nowrap"><svg height="13.9769pt" id="M99" style="vertical-align:-5.341001pt" version="1.1" viewbox="-0.0498162 -8.6359 18.2276 13.9769" width="18.2276pt" 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="M822 650H589L583 622C660 617 677 607 674 561C672 534 664 481 647 390L600 137H596L273 650H126L120 622C176 620 194 615 207 594C221 571 225 557 214 504L161 257C141 166 129 112 121 85C108 42 83 30 29 28L23 0H260L266 28C193 33 173 42 176 89C178 122 186 172 202 255L256 527H259L583 -8H612L690 390C708 481 720 535 728 558C744 603 756 619 816 622L822 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.062,3.132)"><path d="M398 365C398 411 356 451 297 451C250 451 198 430 151 397C65 336 24 230 24 139C24 14 97 -12 148 -12C198 -12 284 7 373 104L355 130C306 84 246 53 198 53C132 53 111 109 111 163V189C209 211 398 261 398 365ZM317 351C317 308 273 262 117 225C134 338 189 383 221 399C230 404 249 407 263 407C295 407 317 389 317 351Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,13.857,5.233)"><path d="M461 212C461 317 386 401 277 401C257 401 234 394 212 384L145 351C175 478 268 537 333 566C371 583 409 595 443 601L435 641C396 634 343 622 305 610C193 570 37 459 37 240C37 88 127 -12 248 -12C372 -12 461 89 461 212ZM371 176C371 111 344 32 268 32C184 32 132 126 132 248C132 270 133 293 138 310C161 323 197 339 236 339C328 339 371 258 371 176Z"></path></g></svg>.</span></div>

Journal of Mathematics

Fault-Tolerant Resolvability in Some Classes of Subdivision Graphs

Figure 3