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    Iofinova-Ivanov Graphs

    Image

    Image

    Basic properties

    vertex count | 110
edge count | 165
connected component count | 1

    Graph features

    asymmetric | bicolorable | biconnected | bicubic | bipartite | bridgeless | class 1 | connected | cubic | cyclic | edge-transitive | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | LCF | local | noncayley | nonempty | noneulerian | nonplanar | perfect | perfect matching | regular | semisymmetric | simple | square-free | traceable | triangle-free | weakly perfect | weakly regular

    Graph degrees

    vertex degrees | 3 (110 vertices)

    Topological properties

    radius | 7
diameter | 7
girth | 10
vertex connectivity | 3
edge connectivity | 3

    Graph polynomials

    (x - 3) x^20 (x + 3) (x^4 - 8 x^2 + 11)^12 (x^4 - 6 x^2 + 6)^10

    Coloring properties

    chromatic number | 2
edge chromatic number | 3

    Spectrum

    (-3)^1 (-2.49721)^12 (-2.17533)^10 (-1.32813)^12 (-1.12603)^10 0^20 1.12603^10 1.32813^12 2.17533^10 2.49721^12 3^1

    Associated matrices

    Associated matrices Adjacency matrix

    Associated matrices Incidence matrix

    Graph indices

    Kirchhoff index | 7112
stability index | 5.647×10^27
Wiener index | 27445

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