Topological Symmetry Groups of Complete Graphs in the 3‐Sphere
Topological Symmetry Groups of Complete Graphs in the 3‐Sphere
复制标题
3-球内完全图的拓扑对称群
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
Harry Tamvakis
中科院分区：
文献类型：
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作者：
E. Flapan;Ramin Naimi;Harry Tamvakis
嵌入在3-球面中的图的方向保持拓扑对称群是图的自同构群的子群，该群由可以由周围空间的方向保持同胚导出的那些自同构组成。我们刻画了3-球面中完全图的嵌入的所有可能的保向拓扑对称群。
The orientation preserving topological symmetry group of a graph embedded in the 3‐sphere is the subgroup of the automorphism group of the graph consisting of those automorphisms which can be induced by an orientation preserving homeomorphism of the ambient space. We characterize all possible orientation preserving topological symmetry groups of embeddings of complete graphs in the 3‐sphere.