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    Ljubljana Graph

    Image

    Image

    Basic properties

    vertex count | 112
edge count | 168
connected component count | 1

    Graph features

    asymmetric | bicolorable | biconnected | bicubic | bipartite | bridgeless | class 1 | connected | cubic | cyclic | edge-transitive | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | LCF | local | noncayley | nonempty | noneulerian | nonplanar | perfect | perfect matching | regular | semisymmetric | simple | square-free | traceable | triangle-free | weakly perfect | weakly regular

    Graph degrees

    vertex degrees | 3 (112 vertices)

    Topological properties

    radius | 7
diameter | 8
girth | 10
vertex connectivity | 3
edge connectivity | 3

    Graph polynomials

    (x - 3) x^14 (x + 3) (x^2 - 2)^6 (x^2 - x - 4)^7 (x^2 + x - 4)^7 (x^4 - 6 x^2 + 4)^14

    Coloring properties

    chromatic number | 2
edge chromatic number | 3

    Spectrum

    (-3)^1 (0.5 (-5.12311))^7 (-2.28825)^14 (0.5 (-3.12311))^7 (-1.41421)^6 (-0.874032)^14 0^14 0.874032^14 1.41421^6 (0.5 3.12311)^7 2.28825^14 (0.5 5.12311)^7 3^1

    Associated matrices

    Associated matrices Adjacency matrix

    Associated matrices Incidence matrix

    Graph indices

    Kirchhoff index | 7405
stability index | 2.224×10^28
Wiener index | 28952

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