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cs.DM2019★ 6 cited
A Structured Table of Graphs with Symmetries and Other Special Properties
Yidan Zhang, Xiaolong Huang, Zhipeng Xu +1
We organize a table of regular graphs with minimal diameters and minimal mean path lengths, large bisection widths and high degrees of symmetries, obtained by enumerations on super…
cs.DM2019★ 7 cited
A new record of graph enumeration enabled by parallel processing
Zhipeng Xu, Xiaolong Huang, Fabian Jimenez +1
Using three supercomputers, we broke a record set in 2011, in the enumeration of non-isomorphic regular graphs by expanding the sequence of A006820 in Online Encyclopedia of Intege…