Title: Restricted SDC Edge Cover Pebbling Number Show Chinese title

Title: 限制SDC边覆盖钉数

Abstract: The restricted edge pebbling distribution is a distribution of pebbles on the edges of $G$ is the placement of pebbles on the edges with the restriction that only an even number of pebbles should be placed on the edges with labels $0$. Given an SDC labeling of $G$, the restricted SDC edge cover pebbling number of a graph $G$, $\psi_{EC}(G)$, is the least positive integer $m$ for which any restricted edge pebbling distribution of $m$ pebbles such that at the end there are no pebbles on the edges having label $0$ will allow the shifting of a pebble simultaneously to all edges with label $1$ using a sequence of restricted edge pebbling moves. We compute the restricted SDC edge cover pebbling number for some graphs Show Chinese abstract

Abstract: 受限边 Pebbling 分布是将 Pebbles 放置在$G$的边上的分布，其限制条件是仅允许在标签为$0$的边上放置偶数个 Pebbles。 给定一个$G$的 SDC 标签，图$G$,$\psi_{EC}(G)$的限制 SDC 边覆盖 Pebbling 数是满足任何限制边 Pebbling 分布的$m$个 Pebbles，在最后边标签为$0$的边上没有 Pebbles 的情况下，可以使用一系列限制边 Pebbling 移动同时将一个 Pebble 移动到所有标签为$1$的边上的最小正整数$m$。我们计算了一些图的限制 SDC 边覆盖 Pebbling 数。