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    9-graph 1438

    Image

    Basic properties

    vertex count | 9 edge count | 9 connected component count | 1

    Graph features

    apex | asymmetric | bicolorable | bipartite | bridged | cactus | caveman | chordless | chromatically nonunique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | flexible | graceful | linklessly embeddable | map | matchstick | Meyniel | multigraphic | noncayley | nonempty | noneulerian | nongeometric | nonhamiltonian | no perfect matching | not uniquely embeddable | outerplanar | perfect | planar | projective planar | pseudoforest | pseudotree | quadratically embeddable | simple | square-free | switchable | triangle-free | unicyclic | uniquely colorable | unit-distance | untraceable | weakly perfect

    Complement graph

    (not a named graph)

    Line graph

    2-Hanoi graph

    Graph degrees

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

    Topological properties

    radius | 3 diameter | 4 girth | 6 vertex connectivity | 1 edge connectivity | 1

    Graph polynomials

    x^3 (x^2 - 5) (x^2 - 2)^2

    (x + 1)^3 (x^5 y + 6 x^5 + 15 x^4 + 20 x^3 + 15 x^2 + 6 x + 1)

    x^3 (x^5 + x^4 + x^3 + x^2 + x + y)

    Coloring properties

    chromatic number | 2 edge chromatic number | 3

    Spectrum

    (-sqrt(5))^1 (-sqrt(2))^2 0^3 sqrt(2)^2 sqrt(5)^1

    Associated matrices

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

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

    Graph indices

    Hosoya index | 52 Kirchhoff index | 63 stability index | 0 Wiener index | 84