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    (12, 5, 1)-I Graph

    Image

    Notation

    F024A

    Basic properties

    vertex count | 24 edge count | 36 connected component count | 1

    Graph features

    arc-transitive | arrangement | bicolorable | biconnected | bicubic | bipartite | biplanar | bridgeless | Cayley graphs | class 1 | connected | cubic | cyclic | edge-transitive | generalized Petersen | graceful | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | honeycomb toroidal | H-star connected | I graphs | incidence | integral | LCF | local | nonempty | noneulerian | nonplanar | perfect | perfect matching | permutation star | regular | simple | square-free | symmetric | traceable | triangle-free | uniquely colorable | unit-distance | vertex-transitive | weakly perfect | weakly regular

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 3 (24 vertices)

    Topological properties

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

    Graph polynomials

    (x - 3) (x - 2)^6 (x - 1)^3 x^4 (x + 1)^3 (x + 2)^6 (x + 3)

    y^13 x^23 + 36 y^12 x^23 + 630 y^11 x^23 + 7116 y^10 x^23 + 58077 y^9 x^23 + 363168 y^8 x^23 + 1799340 y^7 x^23 + 7198344 y^6 x^23 + 23446719 y^5 x^23 + ... + 360 y x^6 + 1947780 x^6 + 12 y x^5 + 376992 x^5 + 58905 x^4 + 7140 x^3 + 630 x^2 + 36 x + 1 (122 terms)

    x^23 + 13 x^22 + 91 x^21 + 455 x^20 + 1820 x^19 + 12 y x^18 + 6176 x^18 + 144 y x^17 + 18408 x^17 + 990 y x^16 + 49242 x^16 + ... + 1748 y^10 + 8602 y^9 + 31866 y^8 + 91876 y^7 + 209477 y^6 + 376842 y^5 + 519908 y^4 + 513302 y^3 + 315690 y^2 + 87837 y (121 terms)

    Coloring properties

    chromatic number | 2 edge chromatic number | 3

    Spectrum

    (-3)^1 (-2)^6 (-1)^3 0^4 1^3 2^6 3^1

    Associated matrices

    Graph indices

    Hosoya index | 1.157 million Kirchhoff index | 262.8 stability index | 1.25 million Wiener index | 744

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