Throughout this work, the vertex decomposability and shellability of graphs formed from other graphs by various operations are investigated. Also among the other things, by using some graph operations, new classes of Cohen–Macaulay graphs from previous ones are presented.

中文翻译：

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图操作中图的顶点可分解性、可壳性和 Cohen-Macaulayness

在整个工作中，研究了通过各种操作从其他图形成的图的顶点可分解性和可壳性。此外，通过使用一些图操作，还提出了以前的科恩-麦考利图的新类。