论文标题
花鼻和轮子的混合度量尺寸
The mixed metric dimension of flower snarks and wheels
论文作者
论文摘要
最近引入了新的图形不变性，称为混合度量维度。在本文中，发现了两个特殊的图表上混合度量尺寸的确切结果：花snarks $ j_n $和车轮$ w_n $。事实证明，$ j_5 $的混合度量尺寸等于5，而对于更高的尺寸，它是恒定且等于4的。对于$ w_n $，其混合度量尺寸不是恒定的，但是当$ n \ geq 4 $时，它等于$ n $，而$ n = 4 $ n等于$ n = 3 $。
New graph invariant, which is called mixed metric dimension, has been recently introduced. In this paper, exact results of mixed metric dimension on two special classes of graphs are found: flower snarks $J_n$ and wheels $W_n$. It is proved that mixed metric dimension for $J_5$ is equal to 5, while for higher dimensions it is constant and equal to 4. For $W_n$, its mixed metric dimension is not constant, but it is equal to $n$ when $n\geq 4$, while it is equal to 4, for $n=3$.
