GET TUTORING NEAR ME!

By providing your phone number, you consent to receive text messages from Club Z! for purposes related to our services. Message frequency may vary. Message and Data Rates may apply. Reply HELP for help or STOP to unsubscribe. See our Privacy Policy and our Terms and Conditions page

    Home / Get Math Help

    16-arc Transitive Graph 6

    Image

    Basic properties

    vertex count | 16 edge count | 48 connected component count | 1

    Graph features

    arc-transitive | biconnected | bridgeless | Cayley graphs | class 1 | conformally rigid | connected | cyclic | distance-regular | Doob | edge-transitive | Eulerian | fully reconstructible in C^1 | graceful | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | integral | LCF | local | multigraphic | nonempty | nongeometric | nonplanar | not determined by resistance | not determined by spectrum | not uniquely embeddable | pancyclic | perfect matching | quadratically embeddable | regular | rigid | sextic | simple | strongly regular | switchable | symmetric | toroidal | torus triangulation | traceable | vertex-transitive | zero-two

    Complement graph

    Shrikhande complement graph

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 6 (16 vertices)

    Topological properties

    radius | 2 diameter | 2 girth | 3 vertex connectivity | 6 edge connectivity | 6

    Graph polynomials

    (x - 6) (x - 2)^6 (x + 2)^9

    x^15 y^33 + 48 x^15 y^32 + 1128 x^15 y^31 + 17296 x^15 y^30 + 194580 x^15 y^29 + 1712304 x^15 y^28 + 16 x^14 y^28 + 12271496 x^15 y^27 + ... + 67886976 x^7 + 11752192 x^6 + 1677792 x^5 + 193080 x^4 + 17264 x^3 + 1128 x^2 + 48 x + 1 (202 terms)

    y^33 + 15 y^32 + 120 y^31 + 680 y^30 + 3060 y^29 + 16 x y^28 + 11612 y^28 + 224 x y^27 + 38520 y^27 + ... + 1046271 x^9 + 3714211 x^8 + 10441875 x^7 + 22965799 x^6 + 38581071 x^5 + 47577407 x^4 + 40316242 x^3 + 20782058 x^2 + 4851764 x (201 terms)

    Coloring properties

    chromatic number | 4 edge chromatic number | 6

    Spectrum

    (-2)^9 2^6 6^1

    Associated matrices

    Graph indices

    Hosoya index | 269921 Kirchhoff index | 42 stability index | 492593 Wiener index | 192