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    Kummer Graph

    Image

    Image

    Alternate names

    (6, 3)-bipartite (0, 2)-graph | 6-folded cube graph

    Basic properties

    vertex count | 32 edge count | 96 connected component count | 1

    Graph features

    arc-transitive | bicolorable | biconnected | bipartite | bridgeless | class 1 | connected | cyclic | distance-regular | distance-transitive | edge-transitive | Eulerian | folded cube | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | incidence | integral | LCF | local | nonempty | nonplanar | not determined by spectrum | perfect | perfect matching | regular | sextic | simple | symmetric | traceable | triangle-free | uniquely colorable | vertex-transitive | weakly perfect | weakly regular | zero-two

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 6 (32 vertices)

    Topological properties

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

    Graph polynomials

    (x - 6) (x - 2)^15 (x + 2)^15 (x + 6)

    Coloring properties

    chromatic number | 2 edge chromatic number | 6

    Spectrum

    (-6)^1 (-2)^15 2^15 6^1

    Associated matrices

    Associated matrices Adjacency matrix

    Associated matrices Incidence matrix

    Graph indices

    Hosoya index | 85.61 billion Kirchhoff index | 182.7 stability index | 1.129 trillion Wiener index | 1056

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