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    Armonios-Wells Graph

    Image

    Basic properties

    vertex count | 32 edge count | 80 connected component count | 1

    Graph features

    antipodal | arc-transitive | biconnected | bridgeless | class 1 | conformally rigid | connected | cyclic | distance-regular | distance-transitive | edge-transitive | fully reconstructible in C^1 | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | LCF | local | multigraphic | nonempty | noneulerian | nongeometric | nonplanar | not determined by spectrum | not uniquely embeddable | perfect matching | quintic | regular | rigid | simple | square-free | switchable | symmetric | traceable | triangle-free | vertex-transitive | weakly regular

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 5 (32 vertices)

    Topological properties

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

    Graph polynomials

    (x - 5) (x - 1)^10 (x + 3)^5 (x^2 - 5)^8

    Coloring properties

    chromatic number | 4 edge chromatic number | 5

    Spectrum

    (-3)^5 (-sqrt(5))^8 1^10 sqrt(5)^8 5^1

    Associated matrices

    Graph indices

    Hosoya index | 12.89 billion Kirchhoff index | 228 stability index | 120.4 billion Wiener index | 1024