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    3-middle Layer Graph

    Image

    Notation

    H(7, 3)

    Basic properties

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

    Graph features

    antipodal | arc-transitive | bicolorable | biconnected | bipartite | bipartite Kneser | bridgeless | class 1 | conformally rigid | connected | cyclic | distance-regular | distance-transitive | edge-transitive | Eulerian | fully reconstructible in C^1 | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | incidence | integral | LCF | local | middle layer | multigraphic | nonempty | nonplanar | not uniquely embeddable | perfect | perfect matching | quadratically embeddable | quartic | regular | rigid | simple | square-free | switchable | symmetric | traceable | triangle-free | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | 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 | 7 girth | 6 vertex connectivity | 4 edge connectivity | 4

    Graph polynomials

    (x - 4) (x - 3)^6 (x - 2)^14 (x - 1)^14 (x + 1)^14 (x + 2)^14 (x + 3)^6 (x + 4)

    Coloring properties

    chromatic number | 2 edge chromatic number | 4

    Spectrum

    (-4)^1 (-3)^6 (-2)^14 (-1)^14 1^14 2^14 3^6 4^1

    Associated matrices

    Graph indices

    Kirchhoff index | 1665 stability index | 1.7×10^21 Wiener index | 8575