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中文摘要：
六角系统的R-旋转图是1棵有向根树,但冠状系统的R-旋转图是一个有向森林,其底图不一定连通.如果冠状系统是基本的,已经证明其R-旋转图至少包含2棵有向根树.利用有向根树间的一种乘法运算,证明了一个冠状系统的R-旋转图为1棵有向根树当且仅当该冠状系统的每个基本分支都是六角系统.
英文摘要：
The R-rotation graph of a hexagonal system is a directed rooted tree. But for a coronoid system, its R-rotation graph is a multiple directed rooted tree,of which each component is a directed rooted tree. It is proved that the R- rotation graph of a elementary coronoid system is a multiple directed rooted tree containing at least 2 trees. Using a multiplication operation between multiple directed rooted trees, it is proved that the R- rotation graph of a coronoid system H^c is a directed rooted tree if and only if each elementary component ofH^c is a hexagonal system.
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