提出了灯笼图、多向灯笼图、复杂灯笼图,研究了它们的奇优美性,证明灯笼图是二分奇优美图、超级边魔幻图和超级反魔幻图.
In this paper, we introduce the concepts of simple lantern graphs, multidirectional lantern graphs and complex lantern graphs, and Study their odd-gracefulness. Moreover, we prove that lantern graphs are set-ordered odd graceful graphs, super edge-magic graphs and (k,d)-edge antimagic graphs.