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    Bull Graph

    Image

    Image

    Alternate names

    5-graph 13 | 5-self-complementary graph 1

    Basic properties

    vertex count | 5 edge count | 5 connected component count | 1

    Graph features

    apex | asymmetric | bridged | cactus | chordal | chordless | chromatically nonunique | class 1 | claw-free | connected | cyclic | determined by resistance | determined by spectrum | line graphs | matchstick | noncayley | nonempty | noneulerian | nonhamiltonian | no perfect matching | perfect | planar | pseudoforest | pseudotree | self-complementary | simple | square-free | traceable | unicyclic | unit-distance | weakly perfect

    Complement graph

    bull graph

    Line graph

    gem graph

    Graph degrees

    vertex degrees | 1 (2 vertices) | 2 (1 vertex) | 3 (2 vertices)

    Topological properties

    radius | 2 diameter | 3 girth | 3 vertex connectivity | 1 edge connectivity | 1

    Graph polynomials

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

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

    x^2 (x^2 + x + y)

    Coloring properties

    chromatic number | 3 edge chromatic number | 3

    Spectrum

    (1/2 (-1 - sqrt(5)))^1 (1/2 (1 - sqrt(13)))^1 0^1 (1/2 (-1 + sqrt(5)))^1 (1/2 (1 + sqrt(13)))^1

    Associated matrices

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

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

    Graph indices

    Hosoya index | 9 Kirchhoff index | 13.33 stability index | 2 Wiener index | 16

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