识别作为 $X$-并的双陪集有向图及双陪集有向图的自同构群
组合数学
2024-09-18 v1
摘要
我们从对称性的角度考察双陪集有向图及其自然性质。然后，我们考虑那些是空图集合的 -并的连通双陪集有向图，并证明它们的自同构群可以从其自然不可约商中获得。接着，我们证明此类有向图可以从其连接集中被识别出来。
引用
@article{arxiv.2409.11092,
title = {Recognizing bicoset digraphs which are $X$-joins and automorphism groups of bicoset digraphs},
author = {Rachel Barber and Ted Dobson and Gregory Robson},
journal= {arXiv preprint arXiv:2409.11092},
year = {2024}
}
备注
The work of the second author is supported in part by the Slovenian Research Agency (research program P1-0285 and research projects N1-0140, N1-0160, J1-2451, N1-0208, J1-3001, J1-3003, J1-4008, and J1-50000), while the work of the third author is supported in part by the Slovenian Research Agency (research program P1-0285 and Young Researchers Grant)