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    6-graph 17

    Image

    Notation

    2P_3

    Basic properties

    vertex count | 6 edge count | 4 connected component count | 2

    Graph features

    acyclic | apex | asymmetric | bicolorable | bipartite | bishop | block | bridged | chordal | chordless | chromatically nonunique | class 1 | claw-free | determined by resistance | determined by spectrum | disconnected | dominating nonunique | edge-transitive | flexible | forest | line graphs | linklessly embeddable | map | matchstick | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | outerplanar | perfect | planar | projective planar | pseudoforest | Ptolemaic | simple | square-free | strongly perfect | switchable | triangle-free | ungraceful | uniquely embeddable | unit-distance | untraceable | weakly perfect

    Complement graph

    6-graph 149

    Line graph

    2-ladder rung graph

    Graph degrees

    vertex degrees | 1 (4 vertices) | 2 (2 vertices)

    Topological properties

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

    Graph polynomials

    x^2 (x^2 - 2)^2

    (x + 1)^4

    x^4

    Coloring properties

    chromatic number | 2 edge chromatic number | 2

    Spectrum

    (-sqrt(2))^2 0^2 sqrt(2)^2

    Associated matrices

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

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

    Graph indices

    Hosoya index | 9 Kirchhoff index | ∞ stability index | 9 Wiener index | ∞