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    20-weak Snark 2

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

    Graph polynomials

    (x - 3) (x - 1)^2 (x + 1) (x + 2) (x^2 - 3) (x^6 - 9 x^4 + 2 x^3 + 16 x^2 - 7 x - 2) (x^7 + 2 x^6 - 8 x^5 - 14 x^4 + 19 x^3 + 25 x^2 - 12 x - 7)

    x^19 y^11 + 30 x^19 y^10 + 435 x^19 y^9 + 4040 x^19 y^8 + 26834 x^19 y^7 + 134660 x^19 y^6 + 524880 x^19 y^5 + 1603483 x^19 y^4 + 3803282 x^19 y^3 + ... + 593590 x^6 + 185 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 + 80 x^14 y + 2916 x^14 + 6 x^13 y^2 + 480 x^13 y + 7435 x^13 + x^12 y^3 + ... + 5328 x + y^11 + 19 y^10 + 170 y^9 + 949 y^8 + 3674 y^7 + 10318 y^6 + 21247 y^5 + 31506 y^4 + 31860 y^3 + 19488 y^2 + 5328 y (98 terms)

    Coloring properties

    chromatic number | 3 edge chromatic number | 4

    Spectrum

    (-2.68311)^1 (-2.36009)^1 (-2.22387)^1 (-2)^1 (-1.73205)^1 (-1.59429)^1 (-1.42388)^1 (-1)^1 (-0.384674)^1 (-0.199249)^1 0.740558^1 0.761593^1 1^2 1.24982^1 1.6112^1 1.73205^1 2.04074^1 2.46523^1 3^1

    Associated matrices

    Graph indices

    Hosoya index | 112032 Kirchhoff index | 183 stability index | 137472 Wiener index | 487

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