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    10-graph 2888179

    Image

    Basic properties

    vertex count | 10 edge count | 21 connected component count | 1

    Graph features

    apex | asymmetric | biconnected | bridgeless | chromatically nonunique | class 1 | connected | cyclic | determined by resistance | determined by spectrum | dominating nonunique | fully reconstructible in C^1 | graceful | Hamilton-connected | Hamiltonian | H-star connected | linklessly embeddable | map | multigraphic | noncayley | nonempty | noneulerian | nongeometric | pancyclic | perfect | perfect matching | planar | Plummer-Toft | polyhedral | projective planar | quadratically embeddable | rigid | simple | switchable | traceable | uniquely embeddable | weakly perfect

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 3 (4 vertices) | 4 (4 vertices) | 7 (2 vertices)

    Topological properties

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

    Graph polynomials

    x (x + 2) (x^8 - 2 x^7 - 17 x^6 + 6 x^5 + 66 x^4 + 16 x^3 - 57 x^2 - 18 x + 4)

    x^9 y^12 + 21 x^9 y^11 + 210 x^9 y^10 + 1325 x^9 y^9 + 5888 x^9 y^8 + 19474 x^9 y^7 + 49375 x^9 y^6 + 97320 x^9 y^5 + 149392 x^9 y^4 + 176587 x^9 y^3 + ... + 2539 x^4 y + 5706 x^4 + 4 x^3 y^3 + 36 x^3 y^2 + 279 x^3 y + 1316 x^3 + 14 x^2 y + 210 x^2 + 21 x + 1 (66 terms)

    x^9 + 12 x^8 + 14 x^7 y + 64 x^7 + 4 x^6 y^3 + 24 x^6 y^2 + 121 x^6 y + 201 x^6 + 3 x^5 y^5 + 18 x^5 y^4 + 65 x^5 y^3 + 205 x^5 y^2 + 467 x^5 y + ... + 64 x + y^12 + 9 y^11 + 40 y^10 + 118 y^9 + 259 y^8 + 451 y^7 + 650 y^6 + 790 y^5 + 789 y^4 + 593 y^3 + 286 y^2 + 64 y (65 terms)

    Coloring properties

    chromatic number | 4 edge chromatic number | 7

    Spectrum

    (-2.44943)^1 (-2)^1 (-1.67401)^1 (-1.26485)^1 (-0.519336)^1 0^1 0.153163^1 1.00964^1 2.04213^1 4.70269^1

    Associated matrices

    Graph indices

    Hosoya index | 651 Kirchhoff index | 26.47 stability index | 157 Wiener index | 72