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    5-graph 6

    Image

    Notation

    2P_2 union K_1

    Basic properties

    vertex count | 5 edge count | 2 connected component count | 3

    Graph features

    acyclic | apex | asymmetric | bicolorable | bipartite | bridged | chordal | chordless | chromatically nonunique | class 1 | claw-free | determined by resistance | determined by spectrum | disconnected | edge-transitive | forest | integral | line graphs | matchstick | noncayley | nonempty | noneulerian | nonhamiltonian | no perfect matching | outerplanar | perfect | planar | projective planar | pseudoforest | simple | square-free | strongly perfect | triangle-free | ungraceful | uniquely colorable | unit-distance | untraceable | weakly perfect | well covered | wheel complement

    Complement graph

    5-wheel graph

    Line graph

    2-empty graph

    Graph degrees

    vertex degrees | 0 (1 vertex) | 1 (4 vertices)

    Topological properties

    radius | ∞ diameter | ∞ girth | ∞ vertex connectivity | 0 edge connectivity | 0

    Graph polynomials

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

    (x + 1)^2

    x^2

    Coloring properties

    chromatic number | 2 edge chromatic number | 1

    Spectrum

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

    Associated matrices

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

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

    Graph indices

    Hosoya index | 4 Kirchhoff index | ∞ stability index | 0 Wiener index | ∞

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