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    Iofinova-Ivanov Graphs

    Image

    Basic properties

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

    Graph features

    asymmetric | bicolorable | biconnected | bicubic | bipartite | bridgeless | class 1 | conformally rigid | connected | cubic | cyclic | edge-transitive | flexible | fully reconstructible in C^1 | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | LCF | local | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonplanar | not uniquely embeddable | perfect | perfect matching | regular | semisymmetric | simple | square-free | switchable | traceable | triangle-free | uniquely colorable | unit-distance | 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

    Graph indices

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