For a set of vertices and a vertex of a connected graph , the -multiset , where is the distance from to for , and is the multirepresentation of with respect to . The set is a multiresolving set of if the multirepresentations of every two distinct vertices of with respect to are distinct. The multiresolving set of having the minimum cardinality is called a multibasis of . The cardinality of a multibasis of is the multidimension of . A caterpillar is called a symmetric caterpillar if for all integers with . In this work, the multiresolving sets of symmetric caterpillars are studied.

中文翻译：

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对称毛毛虫的多元基础

对于一套 顶点和顶点的连通图的，对-多重集，在哪里是从距离到对，并且是multirepresentation的相对于。该组是一个multiresolving组的若每两个不同顶点的multirepresentations相对于是不同的。的multiresolving集具有最小基数称为multibasis的。的multibasis的基数是多维的。毛毛虫被称为对称毛毛虫，如果对于所有整数与。在这项工作中，研究了对称毛虫的多分辨集。