Edge <i>δ</i>− Graceful Labeling for Some Cyclic-Related Graphs

<div>The <svg height="11.927pt" id="M217" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 19.1243 11.927" width="19.1243pt" 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="M703 650H36V622C118 616 126 607 126 526V124C126 45 117 34 40 28V0H297V28C219 34 211 44 211 124V581C211 609 214 613 245 613H494C521 613 527 610 527 583V124C527 45 519 34 434 28V0H700V28C620 34 612 44 612 124V526C612 605 620 616 703 622V650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.594,3.132)"><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><g transform="matrix(.0091,0,0,-0.0091,14.026,3.132)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z"></path></g></svg> with edge 7− graceful labeling.</div>

Advances in Mathematical Physics

Edge δ− Graceful Labeling for Some Cyclic-Related Graphs

Figure 8