Mathematical model of odd graceful labeling and odd strongly harmonious labeling were established about one sort graph and four kinds of odd graceful labeling and odd strongly harmonious labeling were gave. Then we gave a strictly mathematical proof.It is concluded that these kind of graphs are odd graceful graph and odd strongly harmonious graph.%建立了一类图的奇优美标号和奇强协调标号的数学模型,得到了图Gmx,y的4种不同奇优美标号和奇强协调标号的算法,并给出严格的数学证明,因而得出图Gmx,y是奇优美图和奇强协调图。
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