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    Ivanov-Ivanov-Faradjev Graph

    Basic properties

    vertex count | 990
edge count | 3465
connected component count | 1

    Graph features

    arc-transitive | biconnected | bridgeless | class 2 | connected | cyclic | distance-regular | distance-transitive | edge-transitive | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | LCF | local | nonempty | noneulerian | nonplanar | perfect matching | regular | septic | simple | square-free | symmetric | traceable | triangle-free | vertex-transitive | weakly regular

    Graph degrees

    vertex degrees | 7 (990 vertices)

    Topological properties

    radius | 8
diameter | 8
girth | 5
vertex connectivity | 7
edge connectivity | 7

    Graph polynomials

    (x - 7) (x - 5)^42 (x - 4)^55 (x - 1)^154 x^198 (x + 3)^99 (x + 4)^21 (x^2 + x - 8)^210

    Coloring properties

    chromatic number | 4
edge chromatic number | 8

    Spectrum

    (-4)^21 (0.5 (-6.74456))^210 (-3)^99 0^198 1^154 (0.5 4.74456)^210 4^55 5^42 7^1

    Associated matrices

    Associated matrices Adjacency matrix

    Graph indices

    Kirchhoff index | 169013
stability index | 1.21×10^359
Wiener index | 2.097 million

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