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    Livingstone Graph

    Basic properties

    vertex count | 266 edge count | 1463 connected component count | 1

    Graph features

    arc-transitive | biconnected | bridgeless | class 1 | 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 | simple | square-free | symmetric | traceable | triangle-free | vertex-transitive | weakly regular

    Graph degrees

    vertex degrees | 11 (266 vertices)

    Topological properties

    radius | 4 diameter | 4 girth | 5 vertex connectivity | 11 edge connectivity | 11

    Graph polynomials

    (x - 11) (x - 4)^76 (x - 1)^77 (x^2 + 7 x + 11)^56

    Coloring properties

    edge chromatic number | 11

    Spectrum

    (0.5 (-9.23607))^56 (0.5 (-4.76393))^56 1^77 4^76 11^1

    Associated matrices

    Associated matrices Adjacency matrix

    Graph indices

    Kirchhoff index | 7003 stability index | 1.859×10^122 Wiener index | 89775

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