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#90 by Michael De Vlieger at Wed May 24 13:14:49 EDT 2023
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#89 by Hugo Pfoertner at Wed May 24 13:08:03 EDT 2023
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#88 by Michel Marcus at Wed May 24 13:03:02 EDT 2023
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#87 by Michel Marcus at Wed May 24 13:02:58 EDT 2023
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| LINKS
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Zhipeng Xu, Xiaolong Huang, Fabian Jimenez, and Yuefan Deng, <a href="https://arxiv.org/abs/1907.12455">A new record of enumeration of regular graphs by parallel processing</a>, arXiv:1907.12455 [cs.DM], 2019.
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proposed
editing
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#86 by Michael De Vlieger at Wed May 24 13:01:19 EDT 2023
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#85 by Michael De Vlieger at Wed May 24 13:01:17 EDT 2023
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| LINKS
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Wayne Barrett, Shaun Fallat, Veronika Furst, Shahla Nasserasr, Brendan Rooney, and Michael Tait, <a href="https://arxiv.org/abs/2305.10562">Regular Graphs of Degree at most Four that Allow Two Distinct Eigenvalues</a>, arXiv:2305.10562 [math.CO], 2023. See p. 7.
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approved
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#84 by R. J. Mathar at Thu Jun 02 05:25:55 EDT 2022
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#83 by R. J. Mathar at Thu Jun 02 05:25:48 EDT 2022
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| COMMENTS
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The Multiset Transform of this sequence gives a triangle which gives in row n and column k the 4-regular simple graphs with n>=1 nodes and k>=1 components (row sums A033301), starting:
;
;
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1 ;
1 ;
2 ;
6 ;
16 ;
59 1 ;
265 1 ;
1544 3 ;
10778 8 ;
88168 25 ;
805491 87 1 ;
8037418 377 1 ;
86221634 2023 3 ;
985870522 13342 9 ;
11946487647 104568 27 ;
152808063181 930489 96 1 ; - R. J. Mathar, Jun 02 2022
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approved
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#82 by R. J. Mathar at Mon May 30 13:00:32 EDT 2022
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#81 by R. J. Mathar at Mon May 30 12:59:56 EDT 2022
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