GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use, Privacy Policy and Consent Disclaimer

    Home / Get Math Help

    14-cubic Graph 438

    Image

    Notation

    M_7

    Basic properties

    vertex count | 14 edge count | 21 connected component count | 1

    Graph features

    apex | asymmetric | bicolorable | biconnected | bicubic | bipartite | biplanar | bridgeless | Cayley graphs | circulant | class 1 | connected | critical nonplanar | cubic | cyclic | graceful | Haar | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | Harary | honeycomb toroidal | H-star connected | LCF | local | Möbius ladder | nonempty | noneulerian | nonplanar | perfect | perfect matching | projective planar | regular | simple | singlecross | toroidal | traceable | triangle-free | uniquely colorable | vertex-transitive | weakly perfect | weakly regular

    Complement graph

    14-circulant graph (1, 2, 3, 4, 6)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 3 (14 vertices)

    Topological properties

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

    Graph polynomials

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

    x^13 y^8 + 21 x^13 y^7 + 210 x^13 y^6 + 1316 x^13 y^5 + 5698 x^13 y^4 + 17570 x^13 y^3 + 37828 x^13 y^2 + 52104 x^13 y + 35301 x^13 + 14 x^12 y^6 + ... + 7 x^5 y^2 + 959 x^5 y + 20230 x^5 + 119 x^4 y + 5978 x^4 + 7 x^3 y + 1330 x^3 + 210 x^2 + 21 x + 1 (53 terms)

    x^13 + 8 x^12 + 36 x^11 + 7 x^10 y + 113 x^10 + 49 x^9 y + 274 x^9 + 7 x^8 y^2 + 189 x^8 y + 540 x^8 + 56 x^7 y^2 + 504 x^7 y + 897 x^7 + ... + 700 x y^4 + 1505 x y^3 + 1666 x y^2 + 847 x y + 121 x + y^8 + 13 y^7 + 77 y^6 + 259 y^5 + 525 y^4 + 637 y^3 + 427 y^2 + 121 y (52 terms)

    Coloring properties

    chromatic number | 2 edge chromatic number | 3

    Spectrum

    (-3)^1 (root of -1 - x + 2 x^2 + x^3 near x = -2.24698)^2 (root of 1 - x - 2 x^2 + x^3 near x = -0.801938)^2 (root of -1 - x + 2 x^2 + x^3 near x = -0.554958)^2 (root of 1 - x - 2 x^2 + x^3 near x = 0.554958)^2 (root of -1 - x + 2 x^2 + x^3 near x = 0.801938)^2 (root of 1 - x - 2 x^2 + x^3 near x = 2.24698)^2 3^1

    Associated matrices

    Graph indices

    Hosoya index | 3546 Kirchhoff index | 84.28 stability index | 1690 Wiener index | 217

    Back to List | POWERED BY THE WOLFRAM LANGUAGE