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    Ethane Graph

    Image

    Image

    Alternate names

    1-tree (8, 22) | 2-n-alkane graph | 7-matchstick graph 44 | 8-graph 49 | 8-tree 22 | ethane graph | n-ethane graph

    Basic properties

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

    Graph features

    acyclic | alkane | apex | asymmetric | bicolorable | bipartite | block | bridged | cactus | caterpillar | chordal | chordless | chromatically nonunique | class 1 | connected | determined by resistance | distance-hereditary | dominating nonunique | flexible | forest | geodetic | graceful | k-tree | linklessly embeddable | lobster | map | matchstick | median | Meyniel | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | not determined by spectrum | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | series-reduced | simple | split | square-free | switchable | tree | triangle-free | unigraphic | uniquely colorable | uniquely embeddable | unit-distance | untraceable | weakly perfect

    Complement graph

    8-uniquely graceful graph 32

    Line graph

    3-double cone 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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