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    26-circulant Graph (1, 4, 7, 10, 13)

    Image

    Notation

    Ci_26(1, 4, 7, 10, 13)

    Basic properties

    vertex count | 26 edge count | 117 connected component count | 1

    Graph features

    Andrásfai | asymmetric | biconnected | bridgeless | Cayley graphs | circulant | class 1 | connected | cyclic | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | LCF | local | nonempty | noneulerian | nonplanar | perfect matching | regular | simple | traceable | triangle-free | vertex-transitive | weakly regular | well covered

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 9 (26 vertices)

    Topological properties

    radius | 2 diameter | 2 girth | 4 vertex connectivity | 9 edge connectivity | 9

    Graph polynomials

    (x - 9) (x + 1) (x^6 - 2 x^5 - 7 x^4 + 6 x^3 + 5 x^2 - 5 x + 1)^2 (x^6 + 6 x^5 - 11 x^4 - 6 x^3 + 15 x^2 - 7 x + 1)^2

    Coloring properties

    chromatic number | 3 edge chromatic number | 9

    Spectrum

    (-7.34595)^2 (-2.01199)^2 (-1.29716)^2 (-1.0617)^2 (-1)^1 0.339918^2 0.360892^2 0.400477^2 0.468136^2 0.585066^2 0.805754^2 1.31765^2 3.43891^2 9^1

    Associated matrices

    Graph indices

    Hosoya index | 26.6 billion Kirchhoff index | 73.53 stability index | 2.351 million Wiener index | 533

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