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    De Grey Graphs

    Image

    Basic properties

    vertex count | 1581 edge count | 7877 connected component count | 1

    Graph features

    asymmetric | biconnected | bridgeless | class 1 | connected | cyclic | Hamiltonian | imperfect | integral | noncayley | nonempty | noneulerian | nonplanar | no perfect matching | simple | traceable | unit-distance

    Graph degrees

    vertex degrees | 4 (24 vertices) | 6 (212 vertices) | 7 (202 vertices) | 8 (236 vertices) | 9 (88 vertices) | 10 (224 vertices) | 11 (192 vertices) | 12 (137 vertices) | 13 (48 vertices) | 14 (72 vertices) | 16 (24 vertices) | 17 (48 vertices) | 18 (48 vertices) | 20 (24 vertices) | 60 (2 vertices)

    Topological properties

    radius | 6 diameter | 12 girth | 3 vertex connectivity | 2 edge connectivity | 4

    Coloring properties

    chromatic number | 5 edge chromatic number | 60

    Associated matrices

    Graph indices

    Kirchhoff index | 144372 stability index | 8.999×10^613 Wiener index | 7.233 million

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