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

    (2, 8)-Knödel Graph

    Image

    Notation

    C_8

    Basic properties

    vertex count | 8 edge count | 8 connected component count | 1

    Graph features

    antipodal | apex | arc-transitive | bicolorable | biconnected | bipartite | bridgeless | cactus | Cayley graphs | chordless | chromatically unique | circulant | class 1 | claw-free | conformally rigid | connected | cycle | cyclic | determined by resistance | determined by spectrum | distance-regular | distance-transitive | dominating unique | edge-transitive | Eulerian | flexible | geometric | graceful | Haar | Hadamard | Hamilton-decomposable | Hamiltonian | Harary | honeycomb toroidal | KC | Knödel | LCF | line graphs | linklessly embeddable | local | map | matchstick | Meyniel | multigraphic | nonempty | outerplanar | perfect | perfect matching | planar | projective planar | pseudoforest | pseudotree | quadratically embeddable | regular | Sierpiński carpet | simple | square-free | stacked prism | switchable | symmetric | traceable | triangle-free | two-regular | unicyclic | uniquely colorable | uniquely embeddable | uniquely Hamiltonian | unit-distance | vertex-transitive | weakly perfect | weakly regular | wreath

    Complement graph

    8-circulant graph (1, 2, 4)

    Line graph

    8-cycle graph

    Graph degrees

    vertex degrees | 2 (8 vertices)

    Topological properties

    radius | 4 diameter | 4 girth | 8 vertex connectivity | 2 edge connectivity | 2

    Graph polynomials

    (x - 2) x^2 (x + 2) (x^2 - 2)^2

    x^7 y + 8 x^7 + 28 x^6 + 56 x^5 + 70 x^4 + 56 x^3 + 28 x^2 + 8 x + 1

    x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + y

    Coloring properties

    chromatic number | 2 edge chromatic number | 2

    Spectrum

    (-2)^1 (-sqrt(2))^2 0^2 sqrt(2)^2 2^1

    Associated matrices

    (0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0)

    (1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1)

    Graph indices

    Hosoya index | 47 Kirchhoff index | 42 stability index | 45 Wiener index | 64