关于HOVEY的一个猜想

On Hovey's Conjecture

证明了Ｈｏｖｅｙ在１９９１年的一篇文章中提出的一个猜想，并弥补了Ｈｏｖｅｙ在同一篇文章中一个定理证明中的漏洞．类比ｋ－忠实标号对图的调和标号的推广，优美标号做了进一步的推广。

We prove a conjecture proposed by Hovey in a papers in 1991 and mend a gap of a proof of a theorem in that paper. Following method to generalize harmonious labeling from k-coacdial labeling we pose a genecalization of gracful labeling.