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Sylvester Graph

Image

Basic properties

vertex count | 36
edge count | 90
connected component count | 1

Graph features

Complement graph

(not a named graph)

Line graph

Graph degrees

vertex degrees | 5 (36 vertices)

Topological properties

Graph polynomials

(x - 5) (x - 2)^16 (x + 1)^10 (x + 3)^9

Coloring properties

chromatic number | 4
edge chromatic number | 5

Spectrum

(-3)^9 (-1)^10 2^16 5^1

Associated matrices

Associated matrices Adjacency matrix

Associated matrices Incidence matrix

Graph indices

Hosoya index | 237.8 billion
Kirchhoff index | 292.5
stability index | 2.028 trillion
Wiener index | 1350

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