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    (25, 12, 5, 6)-strongly Regular Graph 3

    Image

    Basic properties

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

    Graph features

    asymmetric | biconnected | bridgeless | class 2 | conference | conformally rigid | connected | cyclic | cyclic group | distance-regular | Eulerian | fully reconstructible in C^1 | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | integral | intrinsically linked | LCF | multigraphic | noncayley | nonempty | nongeometric | nonplanar | no perfect matching | not determined by spectrum | not uniquely embeddable | pancyclic | Paulus | regular | rigid | simple | strongly regular | switchable | traceable | ungraceful

    Complement graph

    25-Paulus graph 9

    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 | 6 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