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    Araya-Wiener Graphs

    Image

    Image

    Basic properties

    vertex count | 70
edge count | 105
connected component count | 1

    Graph features

    almost Hamiltonian | apex | asymmetric | biconnected | bridgeless | class 1 | connected | cubic | cyclic | hypohamiltonian | imperfect | local | noncayley | nonempty | noneulerian | nonhamiltonian | perfect matching | planar | polyhedral | regular | simple | traceable | triangle-free | weakly regular

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 3 (70 vertices)

    Topological properties

    radius | 9
diameter | 10
girth | 4
vertex connectivity | 3
edge connectivity | 3

    Graph polynomials

    (x - 3) (x - 1)^2 (x^33 + ... + 439 x + 3 (34 terms)) (x^34 + 2 x^33 - 48 x^32 - 96 x^31 + 1034 x^30 + 2044 x^29 - 13264 x^28 - 25520 x^27 + 113443 x^26 + ... + 4418476 x^7 + 1388090 x^6 - 871184 x^5 + 26831 x^4 + 42620 x^3 - 5342 x^2 - 108 x + 17 (35 terms))

    Coloring properties

    chromatic number | 3
edge chromatic number | 3

    Associated matrices

    Associated matrices Adjacency matrix

    Associated matrices Incidence matrix

    Graph indices

    Hosoya index | 468.3 quadrillion
Kirchhoff index | 3525
stability index | 171.8 quadrillion
Wiener index | 12653

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