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    Regular Tetradeca-7-tope Graph

    Image

    Notation

    Q_7

    Basic properties

    vertex count | 128 edge count | 448 connected component count | 1

    Graph features

    antipodal | arc-transitive | bicolorable | biconnected | bipartite | biplanar | bridgeless | Cayley graphs | class 1 | connected | cyclic | distance-regular | distance-transitive | edge-transitive | graceful | grid | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | Hamming | H-star connected | hypercube | incidence | integral | LCF | local | median | nonempty | noneulerian | nonplanar | perfect | perfect matching | regular | septic | simple | symmetric | traceable | triangle-free | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | weakly regular | zero-two

    Graph degrees

    vertex degrees | 7 (128 vertices)

    Topological properties

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

    Graph polynomials

    (x - 7) (x - 5)^7 (x - 3)^21 (x - 1)^35 (x + 1)^35 (x + 3)^21 (x + 5)^7 (x + 7)

    Coloring properties

    chromatic number | 2 edge chromatic number | 7

    Spectrum

    (-7)^1 (-5)^7 (-3)^21 (-1)^35 1^35 3^21 5^7 7^1

    Associated matrices

    Graph indices

    Kirchhoff index | 2779 stability index | 1.38×10^43 Wiener index | 28672

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