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    Grünbaum-Rigby Configuration

    Image

    Basic properties

    vertex count | 21 edge count | 63 connected component count | 1

    Graph features

    asymmetric | biconnected | bridgeless | class 1 | configuration | connected | cyclic | double-toroidal | Eulerian | fully reconstructible in C^1 | Hamilton-connected | Hamiltonian | H-star connected | imperfect | noncayley | nonempty | nongeometric | nonplanar | no perfect matching | not uniquely embeddable | pancyclic | rigid | simple | switchable | traceable

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 4 (7 vertices) | 6 (7 vertices) | 8 (7 vertices)

    Topological properties

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

    Graph polynomials

    (x^3 - 6 x^2 - 4 x + 8) (x^9 + 3 x^8 - 16 x^7 - 62 x^6 + 181 x^4 + 139 x^3 - 103 x^2 - 145 x - 41)^2

    x^20 y^43 + 63 x^20 y^42 + 1953 x^20 y^41 + 39711 x^20 y^40 + 7 x^19 y^40 + 595658 x^20 y^39 + 413 x^19 y^39 + 7028434 x^20 y^38 + ... + 524855197 x^7 + 66032078 x^6 + 6934081 x^5 + 592592 x^4 + 39662 x^3 + 1953 x^2 + 63 x + 1 (400 terms)

    y^43 + 20 y^42 + 210 y^41 + 7 x y^40 + 1533 y^40 + 133 x y^39 + 8715 y^39 + 1337 x y^38 + ... + 3897820197 x^8 + 6097688314 x^7 + 7700020991 x^6 + 7650129954 x^5 + 5748970778 x^4 + 3064864612 x^3 + 1029748277 x^2 + 163262058 x (399 terms)

    Coloring properties

    chromatic number | 4 edge chromatic number | 8

    Spectrum

    (-3.19873)^2 (-2.59659)^2 (-1.35026)^1 (-1.30672)^2 (-1.28432)^2 (-0.688287)^2 (-0.613455)^2 0.921622^1 1.12016^2 1.54641^2 4.02153^2 6.42864^1

    Associated matrices

    Graph indices

    Hosoya index | 9.075 million Kirchhoff index | 88.52 stability index | 2.069 million Wiener index | 399