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    Tetrahedral Graph

    Image

    Notation

    K_4

    Basic properties

    vertex count | 4 edge count | 6 connected component count | 1

    Complement graph

    4-empty graph

    Dual graph

    tetrahedral graph

    Line graph

    octahedral graph

    Graph degrees

    vertex degrees | 3 (4 vertices)

    Topological properties

    radius | 1 diameter | 1 girth | 3 vertex connectivity | 3 edge connectivity | 3

    Graph polynomials

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

    x^3 y^3 + 6 x^3 y^2 + 15 x^3 y + 16 x^3 + 4 x^2 y + 15 x^2 + 6 x + 1

    x^3 + 3 x^2 + 4 x y + 2 x + y^3 + 3 y^2 + 2 y

    Coloring properties

    chromatic number | 4 edge chromatic number | 3

    Spectrum

    (-1)^3 3^1

    Associated matrices

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

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

    Graph indices

    Hosoya index | 10 Kirchhoff index | 3 stability index | 10 Wiener index | 6

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