(800) 434-2582
Call Now!Franchise Info

Get Math Help

Math Reading Science Test Prep

GET TUTORING NEAR ME!

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

    Home / Get Math Help

    Hoffman Graph

    Image

    Image

    Basic properties

    vertex count | 16 edge count | 32 connected component count | 1

    Graph features

    asymmetric | bicolorable | biconnected | bipartite | biplanar | bridgeless | class 1 | connected | cyclic | Eulerian | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | integral | LCF | local | noncayley | nonempty | nonplanar | not determined by spectrum | perfect | perfect matching | quartic | regular | simple | traceable | triangle-free | uniquely colorable | weakly perfect | weakly regular

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 4 (16 vertices)

    Topological properties

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

    Graph polynomials

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

    x^15 y^17 + 32 x^15 y^16 + 496 x^15 y^15 + 4960 x^15 y^14 + 35944 x^15 y^13 + 200928 x^15 y^12 + 900112 x^15 y^11 + 3312672 x^15 y^10 + 10181864 x^15 y^9 + ... + 200704 x^5 + 4 x^4 y^2 + 672 x^4 y + 35936 x^4 + 24 x^3 y + 4960 x^3 + 496 x^2 + 32 x + 1 (109 terms)

    x^15 + 17 x^14 + 153 x^13 + 24 x^12 y + 945 x^12 + 4 x^11 y^2 + 376 x^11 y + 4441 x^11 + 132 x^10 y^2 + 3116 x^10 y + ... + 69092 y^10 + 147786 y^9 + 275774 y^8 + 448508 y^7 + 628776 y^6 + 740676 y^5 + 699934 y^4 + 491112 y^3 + 223312 y^2 + 48253 y (108 terms)

    Coloring properties

    chromatic number | 2 edge chromatic number | 4

    Spectrum

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

    Associated matrices

    Associated matrices Adjacency matrix

    Associated matrices Incidence matrix

    Graph indices

    Hosoya index | 40961 Kirchhoff index | 68.67 stability index | 10625 Wiener index | 248

    Back to List | POWERED BY THE WOLFRAM LANGUAGE