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| A191646
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Triangle read by rows: T(n,k) = number of connected multigraphs with n >= 0 edges and 1 <= k <= n+1 vertices, with no loops allowed.
(history;
published version)
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#70 by Michael De Vlieger at Thu Mar 23 23:08:39 EDT 2023
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#69 by Andrew Howroyd at Thu Mar 23 21:48:07 EDT 2023
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#68 by Andrew Howroyd at Thu Mar 23 21:39:30 EDT 2023
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| PROG
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InvEulerMT(u)={my(n=#u, p=log(1+x*Ser(u)), vars=variables(p)); Vec(serchop( sum(i=1, n, moebius(i)*substvec(p + O(x*x^(n\i)), vars, apply(v->v^i, vars))/i) )}), 1))}
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| STATUS
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approved
editing
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Discussion
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| Thu Mar 23
| 21:48
| Andrew Howroyd: Minor fix for newer versions of PARI. (they changed something & my prog is brittle)
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#67 by Joerg Arndt at Thu Oct 03 02:47:15 EDT 2019
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#66 by Michel Marcus at Thu Oct 03 02:38:50 EDT 2019
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#65 by Petros Hadjicostas at Thu Oct 03 02:24:57 EDT 2019
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Discussion
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| Thu Oct 03
| 02:38
| Michel Marcus: yes for nauty edit you did (better than mine)
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#64 by Petros Hadjicostas at Thu Oct 03 02:24:25 EDT 2019
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| LINKS
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Gordon Royle, <a href="http://staffhome.ecm.uwa.edu.au/~00013890/remote/graphs/multigraphs/">Small Multigraphs</a>>.
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#63 by Petros Hadjicostas at Thu Oct 03 02:23:08 EDT 2019
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B. D. McKay and A. Piperno, <a href="http://dx.doi.org/10.1016/j.jsc.2013.09.003">Practical Graph Isomorphism, II</a>, J. Symbolic Computation 60 (2013), 94-112.
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#62 by Petros Hadjicostas at Thu Oct 03 02:21:10 EDT 2019
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Brendan McKay and Adolfo Piperno, <a href="http://users.cecs.anu.edu.au/~bdm/nauty/">nauty and Traces</a>. (cf. >. [nauty and Traces are programs for computing automorphism groups of graphs and 2.4.)digraphs.]
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#61 by Petros Hadjicostas at Thu Oct 03 02:19:10 EDT 2019
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Brendan McKay and Adolfo Piperno, <a href="http://users.cecs.anu.edu.au/~bdm/nauty/">nauty and Traces</a>. (cf. nauty 2.4.)
nauty and Traces, <a href="http://users.cecs.anu.edu.au/~bdm/nauty/">nauty 2.4</a>
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