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    Regular Decateron Graph

    Image

    Notation

    Q_5

    Basic properties

    vertex count | 32 edge count | 80 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 | quintic | regular | simple | symmetric | traceable | triangle-free | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | weakly regular | zero-two

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 5 (32 vertices)

    Topological properties

    radius | 5 diameter | 5 girth | 4 vertex connectivity | 5 edge connectivity | 5

    Graph polynomials

    (x - 5) (x - 3)^5 (x - 1)^10 (x + 1)^10 (x + 3)^5 (x + 5)

    Coloring properties

    chromatic number | 2 edge chromatic number | 5

    Spectrum

    (-5)^1 (-3)^5 (-1)^10 1^10 3^5 5^1

    Associated matrices

    Graph indices

    Hosoya index | 13.8 billion Kirchhoff index | 236.5 stability index | 2.662 billion Wiener index | 1280

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