论文标题
具有局部抗魔法色编号2的S桥图的完整表征
Complete characterization of s-bridge graphs with local antimagic chromatic number 2
论文作者
论文摘要
连接图的边缘标记$ g =（v，e）$，如果是二维$ f：e \ to \ to \ {1，\ ldots，| e | \} $，则是局部反象征，因此对于任何一对相邻的顶点$ x $ x $ and $ x $ and $ x $，$ f^+（x） \ sum f（e）$，$ e $在所有事件的边缘范围内到$ x $。 $ g $的本地抗原色数，用$χ_{la}（g）$表示，是所有本地抗原标签上$ g $的最小诱导顶点标签的最小数量。在本文中，我们表征了$ s $桥图，上面有局部抗魔法音2。
An edge labeling of a connected graph $G = (V, E)$ is said to be local antimagic if it is a bijection $f:E \to\{1,\ldots ,|E|\}$ such that for any pair of adjacent vertices $x$ and $y$, $f^+(x)\not= f^+(y)$, where the induced vertex label $f^+(x)= \sum f(e)$, with $e$ ranging over all the edges incident to $x$. The local antimagic chromatic number of $G$, denoted by $χ_{la}(G)$, is the minimum number of distinct induced vertex labels over all local antimagic labelings of $G$. In this paper, we characterize $s$-bridge graphs with local antimagic chromatic number 2.
