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    7-graph 191

    Image

    Basic properties

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

    Graph features

    almost controllable | antipodal | apex | asymmetric | bicolorable | bipartite | bridged | cactus | chordless | chromatically nonunique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | distance-hereditary | dominating nonunique | flexible | graceful | linklessly embeddable | map | matchstick | median | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | quadratically embeddable | simple | switchable | tadpole | traceable | triangle-free | unicyclic | uniquely colorable | uniquely embeddable | unit-distance | weakly perfect

    Complement graph

    7-graph 987

    Line graph

    8-matchstick graph 77

    Graph degrees

    vertex degrees | 1 (1 vertex) | 2 (5 vertices) | 3 (1 vertex)

    Topological properties

    radius | 3 diameter | 5 girth | 4 vertex connectivity | 1 edge connectivity | 1

    Graph polynomials

    x (x^2 - 2) (x^4 - 5 x^2 + 1)

    (x + 1)^3 (x^3 y + 4 x^3 + 6 x^2 + 4 x + 1)

    x^3 (x^3 + x^2 + x + y)

    Coloring properties

    chromatic number | 2 edge chromatic number | 3

    Spectrum

    (-sqrt(5/2 + sqrt(21)/2))^1 (-sqrt(2))^1 (-sqrt(1/2 (5 - sqrt(21))))^1 0^1 sqrt(1/2 (5 - sqrt(21)))^1 sqrt(2)^1 sqrt(5/2 + sqrt(21)/2)^1

    Associated matrices

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

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

    Graph indices

    Hosoya index | 27 Kirchhoff index | 40.5 stability index | 0 Wiener index | 48