论文标题
各种环状蛇的优美标记
Graceful Labellings of Various Cyclic Snakes
论文作者
论文摘要
在本文中，我们提出了一个新的充分条件，可以为每$ kc_ {4n} $蛇获得优雅的标签，并使用此条件将所有此类蛇标记为$ n = 1,2，\ ldots，6 $。然后，我们将此结果扩展到循环长度变化的循环蛇。此外，我们基于长度$ n = 6、10、14 $的循环蛇的（近）优雅标记获得了新的结果，完全解决了该案例$ n = 6 $。
In this paper, we present a new sufficiency condition to obtain a graceful labelling for every $kC_{4n}$ snake and use this condition to label every such snake for $n=1,2,\ldots,6$. Then, we extend this result to cyclic snakes where the cycles lengths vary. Also, we obtain new results on the (near) graceful labelling of cyclic snakes based on cycles of lengths $n=6, 10, 14$, completely solving the case $n=6$.
