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    20-weak Snark 3

    Image

    Basic properties

    vertex count | 20 edge count | 30 connected component count | 1

    Graph features

    almost Hamiltonian | asymmetric | biconnected | biplanar | bridgeless | class 2 | connected | cubic | cyclic | double-toroidal | identity | 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 (20 vertices)

    Topological properties

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

    Graph polynomials

    (x - 3) (x - 1)^2 (x + 1)^2 (x^15 + 3 x^14 - 19 x^13 - 57 x^12 + 147 x^11 + 427 x^10 - 611 x^9 - 1605 x^8 + 1504 x^7 + 3150 x^6 - 2205 x^5 - 2995 x^4 + 1685 x^3 + 1101 x^2 - 393 x - 147)

    x^19 y^11 + 30 x^19 y^10 + 435 x^19 y^9 + 4040 x^19 y^8 + 26834 x^19 y^7 + 134661 x^19 y^6 + 524911 x^19 y^5 + 1603908 x^19 y^4 + 3806595 x^19 y^3 + ... + 593592 x^6 + 183 x^5 y + 142499 x^5 + 7 x^4 y + 27405 x^4 + 4060 x^3 + 435 x^2 + 30 x + 1 (99 terms)

    x^19 + 11 x^18 + 66 x^17 + 286 x^16 + 7 x^15 y + 994 x^15 + 78 x^14 y + 2918 x^14 + 6 x^13 y^2 + 465 x^13 y + 7452 x^13 + x^12 y^3 + ... + 5472 x + y^11 + 19 y^10 + 170 y^9 + 949 y^8 + 3675 y^7 + 10333 y^6 + 21338 y^5 + 31791 y^4 + 32344 y^3 + 19908 y^2 + 5472 y (98 terms)

    Coloring properties

    chromatic number | 3 edge chromatic number | 4

    Spectrum

    (-2.52402)^1 (-2.45741)^1 (-2.23534)^1 (-2.15083)^1 (-1.92093)^1 (-1.4987)^1 (-1)^2 (-0.580954)^1 (-0.282225)^1 0.738897^1 0.806378^1 1^2 1.19453^1 1.71595^1 1.75958^1 1.97699^1 2.45809^1 3^1

    Associated matrices

    Graph indices

    Hosoya index | 111940 Kirchhoff index | 182.4 stability index | 140080 Wiener index | 482

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