4 papers
Remarks about the Moebius-Kantor graph
Oliver Knill
The Moebius-Kantor graph MK=G(8,3) is a Cayley graph of three non-abelian groups, the Pauli group P(1), the semi-dihedral group SD(16), as well as the dihedral group D(16) of order…
God numbers for Graphs, Games and Groups
Z. Adams, M. Z. Cassim, C. Hou +3
We describe and axiomatize finite solitaire puzzles and zero sum sequential games graph theoretically. Zermelo's theorem telling that there is a win for one of the players or a dra…
Remarks on the Brouwer Conjecture
Oliver Knill
The Brouwer conjecture (BC) in spectral graph theory claims that the sum of the largest k Kirchhoff eigenvalues of a graph are bounded above by the number m of edges plus k(k+1)/2.…
Soft Barycentric Refinement
Oliver Knill
The soft Barycentric refinement preserves manifolds with or without boundary. In every dimension larger than one, there is a universal spectral central limiting measure that has af…