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    PRT Graph

    Image

    Notation

    T

    Basic properties

    vertex count | 26 edge count | 130 connected component count | 1

    Graph features

    asymmetric | biconnected | bridgeless | class 1 | connected | cyclic | distance-regular | Eulerian | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | integral | LCF | noncayley | nonempty | nonplanar | not determined by spectrum | pancyclic | Paulus | perfect matching | regular | simple | strongly regular | traceable | ungraceful

    Complement graph

    26-Paulus complement graph 8

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 10 (26 vertices)

    Topological properties

    radius | 2 diameter | 2 girth | 3 vertex connectivity | 10 edge connectivity | 10

    Graph polynomials

    (x - 10) (x - 2)^13 (x + 3)^12

    Coloring properties

    chromatic number | 5 edge chromatic number | 10

    Spectrum

    (-3)^12 2^13 10^1

    Associated matrices

    Graph indices

    Hosoya index | 62.14 billion Kirchhoff index | 66.25 stability index | 312 billion Wiener index | 520

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