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    Biggs-Smith Graph

    Image

    Image

    Basic properties

    vertex count | 102 edge count | 153 connected component count | 1

    Graph features

    arc-transitive | biconnected | bridgeless | class 1 | connected | cubic | cyclic | determined by spectrum | distance-regular | distance-transitive | edge-transitive | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | LCF | local | nonempty | noneulerian | nonplanar | perfect matching | regular | simple | square-free | symmetric | traceable | triangle-free | unit-distance | vertex-transitive | weakly regular

    Graph degrees

    vertex degrees | 3 (102 vertices)

    Topological properties

    radius | 7 diameter | 7 girth | 9 vertex connectivity | 3 edge connectivity | 3

    Graph polynomials

    (x - 3) (x - 2)^18 x^17 (x^2 - x - 4)^9 (x^3 + 3 x^2 - 3)^16

    Coloring properties

    chromatic number | 3 edge chromatic number | 3

    Spectrum

    (-2.53209)^16 (0.5 (-3.12311))^9 (-1.3473)^16 0^17 0.879385^16 2^18 (0.5 5.12311)^9 3^1

    Associated matrices

    Associated matrices Adjacency matrix

    Associated matrices Incidence matrix

    Graph indices

    Kirchhoff index | 6149 stability index | 4.524×10^25 Wiener index | 23817

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