The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A058975 Total number of flats in the lattice of contractions of the n-cube. Also number of partitions of vertex set of n-cube into blocks all of which induce connected subgraphs. 0

%I #11 Sep 27 2020 08:12:33

%S 1,2,12,958,27206608

%N Total number of flats in the lattice of contractions of the n-cube. Also number of partitions of vertex set of n-cube into blocks all of which induce connected subgraphs.

%D J. N. Cooper, unpublished.

%H Frank Simon, <a href="https://nbn-resolving.org/urn:nbn:de:bsz:14-qucosa-101154">Algebraic Methods for Computing the Reliability of Networks</a>, Dissertation, Doctor Rerum Naturalium (Dr. rer. nat.), Fakultät Mathematik und Naturwissenschaften der Technischen Universität Dresden, 2012. - From _N. J. A. Sloane_, Jan 04 2013

%e There are twelve contractions of the 2-cube, also known as the 4-cycle. The edge sets along which the contractions occur are: no edges, any one of the four single edges, one of two opposite pairs, one of four pairs of intersecting edges and all edges.

%K hard,nonn,nice

%O 0,2

%A Joshua N. Cooper (jcooper(AT)math.ucsd.edu), Jan 15 2001

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 1 03:43 EDT 2024. Contains 373008 sequences. (Running on oeis4.)