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    20-weak Snark 5

    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^17 + 5 x^16 - 12 x^15 - 92 x^14 + 14 x^13 + 660 x^12 + 370 x^11 - 2384 x^10 - 2113 x^9 + 4653 x^8 + 4855 x^7 - 4887 x^6 - 5314 x^5 + 2576 x^4 + 2638 x^3 - 528 x^2 - 471 x - 3)

    x^19 y^11 + 30 x^19 y^10 + 435 x^19 y^9 + 4040 x^19 y^8 + 26832 x^19 y^7 + 134598 x^19 y^6 + 524001 x^19 y^5 + 1596082 x^19 y^4 + 3763215 x^19 y^3 + ... + 593542 x^6 + 233 x^5 y + 142497 x^5 + 9 x^4 y + 27405 x^4 + 4060 x^3 + 435 x^2 + 30 x + 1 (100 terms)

    x^19 + 11 x^18 + 66 x^17 + 286 x^16 + 9 x^15 y + 992 x^15 + 98 x^14 y + 2896 x^14 + 9 x^13 y^2 + 565 x^13 y + 7327 x^13 + 2 x^12 y^3 + ... + 4536 x + y^11 + 19 y^10 + 170 y^9 + 947 y^8 + 3642 y^7 + 10096 y^6 + 20379 y^5 + 29438 y^4 + 28872 y^3 + 17100 y^2 + 4536 y (99 terms)

    Coloring properties

    chromatic number | 3 edge chromatic number | 4

    Spectrum

    (-2.51266)^1 (-2.37776)^1 (-2.29236)^1 (-2.11256)^1 (-1.80685)^1 (-1.6576)^1 (-1.42335)^1 (-0.800337)^1 (-0.516712)^1 (-0.00641706)^1 0.749714^1 0.774933^1 1^2 1.14985^1 1.53921^1 1.75871^1 1.99994^1 2.53424^1 3^1

    Associated matrices

    Graph indices

    Hosoya index | 111736 Kirchhoff index | 187 stability index | 125968 Wiener index | 489

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