【摘要】：給出了奇優(yōu)美圖和二分奇優(yōu)美圖的概念,并定義了金魚圖,證明了在魚頭為不同圖形的情況下,金魚圖仍然是奇優(yōu)美的,且是二分奇優(yōu)美的.還證明了:對一個奇優(yōu)美圖H和一棵二分奇優(yōu)美樹T,用一條邊連接T的一個頂點和H的標號基點u_0后所得到的金魚圖仍是奇優(yōu)美圖.
[Abstract]:In this paper, the concepts of odd graceful graph and bipartite odd graceful graph are given, and the goldfish graph is defined. It is proved that the goldfish graph is still odd graceful and biodd graceful when the fish head is different. It is also proved that for an odd graceful graph H and a bipartite odd graceful tree T, the goldfish graph obtained by using an edge to connect a vertex of T with the labeling base point u 0 of H is still an odd graceful graph.
【作者單位】： 西北師范大學(xué)數(shù)學(xué)與統(tǒng)計學(xué)院;
【基金】：國家自然科學(xué)基金(61662066,61163054,61363060)
【分類號】：O157.5
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本文編號：2349727