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Hoffman-Singleton Graph

Image

Basic properties

vertex count | 50
edge count | 175
connected component count | 1

Graph features

Complement graph

Hoffman-Singleton graph complement

Graph degrees

vertex degrees | 7 (50 vertices)

Topological properties

Graph polynomials

(x - 7) (x - 2)^28 (x + 3)^21

Coloring properties

chromatic number | 4
edge chromatic number | 7

Spectrum

(-3)^21 2^28 7^1

Associated matrices

Associated matrices Adjacency matrix

Associated matrices Incidence matrix

Graph indices

Kirchhoff index | 385
stability index | 2.651×10^21
Wiener index | 2275

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