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    18-weak Snark 2

    Image

    Basic properties

    vertex count | 18 edge count | 27 connected component count | 1

    Graph features

    almost Hamiltonian | asymmetric | biconnected | biplanar | bridgeless | class 2 | connected | cubic | cyclic | doublecross | double-toroidal | hypohamiltonian | imperfect | local | noncayley | nonempty | noneulerian | nonhamiltonian | nonplanar | perfect matching | regular | simple | snark | square-free | traceable | triangle-free | unit-distance | weakly regular | weak snark

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 3 (18 vertices)

    Topological properties

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

    Graph polynomials

    (x - 3) (x - 1)^3 (x + 1) (x + 2) (x^4 + x^3 - 7 x^2 - 5 x + 6) (x^4 + x^3 - 5 x^2 - 3 x + 4)^2

    x^17 y^10 + 27 x^17 y^9 + 351 x^17 y^8 + 2907 x^17 y^7 + 17090 x^17 y^6 + 75098 x^17 y^5 + 252198 x^17 y^4 + 646496 x^17 y^3 + 1227296 x^17 y^2 + 1583808 x^17 y + ... + 295824 x^6 + 186 x^5 y + 80722 x^5 + 8 x^4 y + 17550 x^4 + 2925 x^3 + 351 x^2 + 27 x + 1 (81 terms)

    x^17 + 10 x^16 + 55 x^15 + 220 x^14 + 8 x^13 y + 707 x^13 + 82 x^12 y + 1912 x^12 + 8 x^11 y^2 + 438 x^11 y + 4469 x^11 + x^10 y^3 + ... + 13812 x y + 1800 x + y^10 + 17 y^9 + 135 y^8 + 662 y^7 + 2215 y^6 + 5233 y^5 + 8665 y^4 + 9568 y^3 + 6264 y^2 + 1800 y (80 terms)

    Coloring properties

    chromatic number | 3 edge chromatic number | 4

    Spectrum

    (-2.6105)^1 (-2.27841)^2 (-2)^1 (-1.43986)^1 (-1.31743)^2 (-1)^1 0.670843^1 0.704624^2 1^3 1.89122^2 2.37951^1 3^1

    Associated matrices

    Graph indices

    Hosoya index | 34972 Kirchhoff index | 142.4 stability index | 43840 Wiener index | 377

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