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关于回转群凯莱图的传递性和连通性

On transitivity and connectedness of Cayley graphs of gyrogroups.

作者信息

Maungchang Rasimate, Khachorncharoenkul Prathomjit, Prathom Kiattisak, Suksumran Teerapong

机构信息

Division of Mathematics and Statistics, School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand.

Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand.

出版信息

Heliyon. 2021 May 11;7(5):e07049. doi: 10.1016/j.heliyon.2021.e07049. eCollection 2021 May.

DOI:10.1016/j.heliyon.2021.e07049
PMID:34036204
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8134976/
Abstract

In this work, we explore edge direction, transitivity, and connectedness of Cayley graphs of gyrogroups. More specifically, we find conditions for a Cayley graph of a gyrogroup to be undirected, transitive, and connected. We also show a relationship between the cosets of a certain type of subgyrogroups and the connected components of Cayley graphs. Some examples and applications regarding these findings are provided.

摘要

在这项工作中，我们探索了陀螺群的凯莱图的边方向、传递性和连通性。更具体地说，我们找到了陀螺群的凯莱图为无向、传递和连通的条件。我们还展示了某种子陀螺群的陪集与凯莱图的连通分量之间的关系。提供了关于这些发现的一些例子和应用。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/70efb1d88a5e/gr006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/e1b4f7e2e510/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/a3ead93f398d/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/6fab0686f457/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/46b8d1209adc/gr004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/e841b3d1a87f/gr005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/70efb1d88a5e/gr006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/e1b4f7e2e510/gr001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/a3ead93f398d/gr002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/6fab0686f457/gr003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/46b8d1209adc/gr004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/e841b3d1a87f/gr005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4836/8134976/70efb1d88a5e/gr006.jpg

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