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    Ethane Graph

    Image

    Basic properties

    vertex count | 8 edge count | 7 connected component count | 1

    Graph features

    acyclic | alkane | apex | asymmetric | bicolorable | bipartite | bridged | cactus | caterpillar | chordal | chordless | chromatically nonunique | class 1 | connected | determined by resistance | forest | geodetic | graceful | lobster | matchstick | median | noncayley | nonempty | noneulerian | nonhamiltonian | no perfect matching | not determined by spectrum | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | series-reduced | simple | split | square-free | tree | triangle-free | uniquely colorable | unit-distance | untraceable | weakly perfect

    Complement graph

    (not a named graph)

    Line graph

    (2, 4)-windmill graph

    Graph degrees

    vertex degrees | 1 (6 vertices) | 4 (2 vertices)

    Topological properties

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

    Graph polynomials

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

    (x + 1)^7

    x^7

    Coloring properties

    chromatic number | 2 edge chromatic number | 4

    Spectrum

    (1/2 (-1 - sqrt(13)))^1 (1/2 (1 - sqrt(13)))^1 0^4 (1/2 (-1 + sqrt(13)))^1 (1/2 (1 + sqrt(13)))^1

    Associated matrices

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

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

    Graph indices

    Hosoya index | 17 Kirchhoff index | 58 stability index | 17 Wiener index | 58

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