具有指定度序列的随机图的对称性阈值
The threshold of symmetry in random graphs with specified degree sequences
摘要：
给出了具有指定度序列的随机图是对称图或非对称图的充分条件。在有界度序列的情况下，我们的刻画捕捉随机图的对称性的相变。这种相变与图的连通性相一致。然而，当最大度是随着顶点数趋于无穷大而增长的函数时，我们的结果表明，这两个阈值不再重合
英文摘要：
We give sufficient conditions under which a random graph with a specified degree sequence is symmetric or asymmetric. In the case of bounded degree sequences, our characterisation captures the phase transition of the symmetry of the random graphs. This phase transition coincides with that of the graph connectivity. However, when the maximum degree is a growing function as the number of vertices tends to infinity, our results suggest that these two thresholds do not coincide any more
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
