Rank = 2, n = 5
Total Matrices in Space:
33554432
Total Graphs of Consistent Rank:
2040
Total Morphs Found:
26
"Morphs" are what we call the shape of the graph, and it turns out that even though there are many thousands of graphs, when their characteristic polynomial is found, many are shared. In fact, some morphs have thousands of different graphs that produce the same morph, but each of those matrices shares the same characteristic polynomial. The characteristic polynomial and it's roots represent the "shape" of the structure, and each graph is a different permutation of numbering of the vertices.
Here are all currently identified morphs, and how many there are, with an example of each one:
There are 12 of
Partial Probability: 1%
-λ5+5λ3-5λ+2 = 0
There are 60 of
Partial Probability: 3%
-λ5+3λ3+2λ2+λ-2 = 0
There are 24 of
Partial Probability: 1%
-λ5+5λ2+5λ+2 = 0
There are 60 of
Partial Probability: 3%
-λ5+2λ3+4λ2 = 0
There are 60 of
Partial Probability: 3%
-λ5+2λ3+2λ2+3λ+2 = 0
There are 120 of
Partial Probability: 6%
-λ5+λ4+3λ3-3λ-2 = 0
There are 120 of
Partial Probability: 6%
-λ5+λ4+λ3+3λ2-λ-2 = 0
There are 60 of
Partial Probability: 3%
-λ5+λ4+λ3+λ2+2λ = 0
There are 120 of
Partial Probability: 6%
-λ5+λ4+2λ3-λ+2 = 0
There are 120 of
Partial Probability: 6%
-λ5+λ4+3λ3-2λ2 = 0
There are 60 of
Partial Probability: 3%
-λ5+2λ4+3λ3-6λ2-λ+2 = 0
There are 10 of
Partial Probability: 0%
-λ5+2λ4+3λ3-4λ2-4λ = 0
There are 120 of
Partial Probability: 6%
-λ5+2λ4+λ3-3λ2+λ+2 = 0
There are 120 of
Partial Probability: 6%
-λ5+2λ4+λ3-λ2-2λ = 0
There are 120 of
Partial Probability: 6%
-λ5+2λ4+λ2-3λ+2 = 0
There are 120 of
Partial Probability: 6%
-λ5+2λ4+λ-2 = 0
There are 60 of
Partial Probability: 3%
-λ5+2λ4+λ3-4λ2+5λ-2 = 0
There are 120 of
Partial Probability: 6%
-λ5+3λ4-λ3-3λ2+3λ-2 = 0
There are 120 of
Partial Probability: 6%
-λ5+3λ4-2λ3-λ2+2λ = 0
There are 60 of
Partial Probability: 3%
-λ5+3λ4-3λ3+3λ2-2λ = 0
There are 120 of
Partial Probability: 6%
-λ5+3λ4-λ3-2λ2-λ+2 = 0
There are 30 of
Partial Probability: 1%
-λ5+4λ4-3λ3-4λ2+4λ = 0
There are 120 of
Partial Probability: 6%
-λ5+4λ4-5λ3+λ2+3λ-2 = 0
There are 60 of
Partial Probability: 3%
-λ5+4λ4-6λ3+6λ2-5λ+2 = 0
There are 24 of
Partial Probability: 1%
-λ5+5λ4-10λ3+10λ2-5λ+2 = 0
There are 20 of
Partial Probability: 1%
-λ5+5λ4-9λ3+8λ2-4λ = 0
