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    Gewirtz Graph

    Image

    Image

    Alternate names

    56-Goethals-Seidel tactical configuration graph | Sims-Gewirtz graph

    Basic properties

    vertex count | 56 edge count | 280 connected component count | 1

    Graph features

    arc-transitive | biconnected | bridgeless | class 1 | connected | cyclic | determined by spectrum | distance-regular | distance-transitive | edge-transitive | Eulerian | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | integral | LCF | local | nonempty | nonplanar | perfect matching | regular | simple | strongly regular | symmetric | traceable | triangle-free | vertex-transitive | zero-two

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 10 (56 vertices)

    Topological properties

    radius | 2 diameter | 2 girth | 4 vertex connectivity | 10 edge connectivity | 10

    Graph polynomials

    (x - 10) (x - 2)^35 (x + 4)^20

    Coloring properties

    chromatic number | 4 edge chromatic number | 10

    Spectrum

    (-4)^20 2^35 10^1

    Associated matrices

    Associated matrices Adjacency matrix

    Graph indices

    Kirchhoff index | 325 stability index | 1.464×10^27 Wiener index | 2800

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