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    Meredith Graph

    Image

    Basic properties

    vertex count | 70 edge count | 140 connected component count | 1

    Graph features

    asymmetric | biconnected | bridgeless | class 2 | connected | cyclic | Eulerian | imperfect | local | noncayley | nonempty | nonhamiltonian | nonplanar | perfect matching | quartic | regular | simple | traceable | triangle-free | weakly regular

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 4 (70 vertices)

    Topological properties

    radius | 7 diameter | 8 girth | 4 vertex connectivity | 4 edge connectivity | 4

    Graph polynomials

    (x - 4) (x - 1)^10 x^21 (x + 1)^11 (x + 3) (x^2 - 13) (x^6 - 26 x^4 + 3 x^3 + 169 x^2 - 39 x - 45)^4

    Coloring properties

    chromatic number | 3 edge chromatic number | 5

    Spectrum

    (-3.89247)^4 (-3.60555)^1 (-3.37773)^4 (-3)^1 (-1)^11 (-0.419034)^4 0^21 0.666966^4 1^10 3.2255^4 3.60555^1 3.79676^4 4^1

    Associated matrices

    Graph indices

    Kirchhoff index | 2912 stability index | 946.6 trillion Wiener index | 12075

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