Advances and Applications in Discrete Mathematics
Volume 29, Issue 1, Pages 1 - 8
(January 2022) http://dx.doi.org/10.17654/0974165822001 |
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ZIGZAG POLYHEX NANOTUBES WHICH ARE CAYLEY GRAPHS
Chunqi Liu
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Abstract: Iijima and Ichihashi [4] discovered single walled carbon nanotubes (SWCNs), which contain three different types of structures: zigzag, armchair and chiral. Denote by the zigzag polyhex nanotube, in terms of the circumference p and the length q. Cayley graph on a group G with connection set S has the elements of G as its vertices and an edge joining g and sg for all and Motivated by Afshari and Maghasedi’s [1] work and Hamada et al.’s [10] notation, we show that the zigzag polyhex nanotubes are Cayley graphs by constructing a regular subgroup of
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Keywords and phrases: Cayley graph, zigzag polyhex, regular group, automorphism group |
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