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    25-arc Transitive Graph 8

    Image

    Basic properties

    vertex count | 25 edge count | 150 connected component count | 1

    Graph features

    arc-transitive | biconnected | bridgeless | Cayley graphs | class 2 | conference | connected | cyclic | distance-regular | distance-transitive | edge-transitive | Eulerian | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | integral | LCF | local | nonempty | nonplanar | no perfect matching | not determined by spectrum | Paley | pancyclic | Paulus | regular | self-complementary | simple | strongly regular | symmetric | traceable | ungraceful | vertex-transitive | weakly perfect

    Complement graph

    25-Paley graph

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 12 (25 vertices)

    Topological properties

    radius | 2 diameter | 2 girth | 3 vertex connectivity | 12 edge connectivity | 12

    Graph polynomials

    -((x - 12) (x - 2)^12 (x + 3)^12)

    Coloring properties

    chromatic number | 5 edge chromatic number | 13

    Spectrum

    (-3)^12 2^12 12^1

    Associated matrices

    Graph indices

    Hosoya index | 122.8 billion Kirchhoff index | 50 stability index | 92.4 billion Wiener index | 450

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