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    (3, 2)-lollipop Graph

    Image

    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 | geodetic | graceful | line graphs | lollipop | matchstick | noncayley | nonempty | noneulerian | nonhamiltonian | no perfect matching | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | simple | square-free | tadpole | traceable | unicyclic | unit-distance | weakly perfect | well covered

    Complement graph

    banner graph

    Line graph

    kite graph

    Graph degrees

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

    Topological properties

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

    Graph polynomials

    -((x - 1) (x + 1) (x^3 - 4 x - 2))

    (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

    (root of -2 - 4 x + x^3 near x = -1.67513)^1 (-1)^1 (root of -2 - 4 x + x^3 near x = -0.539189)^1 1^1 (root of -2 - 4 x + x^3 near x = 2.21432)^1

    Associated matrices

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

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

    Graph indices

    Hosoya index | 10 Kirchhoff index | 14.67 stability index | 4 Wiener index | 17

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