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WOLFRAM NOTEBOOK
In[]:=
GraphData["DistanceTransitive"]
Out[]=
In[]:=
GraphData["HeawoodGraph"]
Out[]=
In[]:=
Intersection[GraphData["Cage"],GraphData["Cubic"]]
Out[]=
In[]:=
GraphData/@%
Out[]=
In[]:=
GraphNeighborhoodVolumes
[1]
Out[]=
{1,4,10,22,46,66,70}
In[]:=
Differences[%]
Out[]=
{3,6,12,24,20,4}
In[]:=
Differences[%]
Out[]=
{3,6,12,-4,-16}
In[]:=
GraphNeighborhoodVolumes
[1]
Lattice Theory
Lattice Theory
Projective Space
Projective Space
Definition of discrete version:
any two lines intersect at a point; any two points are connected by a line
any two lines intersect at a point; any two points are connected by a line
Multiway systems ↔
Multiway systems ↔
Foliations
Foliations
If the rule caused states to only go to their neighbors in the multiway layout, then we would have the same conditions as for spacetime .... because there is locality in string space....
Ordering by sortedness.....
All refoliations away from the geodesic foliation will prune the branchial graphs.....