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    1096-Haar Graph

    Image

    Notation

    M_11

    Basic properties

    vertex count | 22 edge count | 33 connected component count | 1

    Graph features

    apex | asymmetric | bicolorable | biconnected | bicubic | bipartite | biplanar | bridgeless | Cayley graphs | circulant | class 1 | connected | critical nonplanar | cubic | cyclic | graceful | Haar | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | Harary | honeycomb toroidal | H-star connected | LCF | local | Möbius ladder | nonempty | noneulerian | nonplanar | perfect | perfect matching | projective planar | regular | simple | singlecross | toroidal | traceable | triangle-free | uniquely colorable | vertex-transitive | weakly perfect | weakly regular

    Complement graph

    (not a named graph)

    Line graph

    (not a named graph)

    Graph degrees

    vertex degrees | 3 (22 vertices)

    Topological properties

    radius | 6 diameter | 6 girth | 4 vertex connectivity | 3 edge connectivity | 3

    Graph polynomials

    (x - 3) (x + 3) (x^5 - 4 x^4 + 2 x^3 + 5 x^2 - 2 x - 1)^2 (x^5 + 4 x^4 + 2 x^3 - 5 x^2 - 2 x + 1)^2

    y^12 x^21 + 33 y^11 x^21 + 528 y^10 x^21 + 5434 y^9 x^21 + 40183 y^8 x^21 + 225379 y^7 x^21 + 983818 y^6 x^21 + 3365296 y^5 x^21 + 8937951 y^4 x^21 + ... + 4477 y x^5 + 237017 x^5 + 319 y x^4 + 40909 x^4 + 11 y x^3 + 5456 x^3 + 528 x^2 + 33 x + 1 (125 terms)

    x^21 + 12 x^20 + 78 x^19 + 11 y x^18 + 353 x^18 + 121 y x^17 + 1233 x^17 + 11 y^2 x^16 + 715 y x^16 + 3510 x^16 + 154 y^2 x^15 + ... + 21 y^11 + 209 y^10 + 1265 y^9 + 5115 y^8 + 14454 y^7 + 29106 y^6 + 41778 y^5 + 41910 y^4 + 27995 y^3 + 11209 y^2 + 2037 y (124 terms)

    Coloring properties

    chromatic number | 2 edge chromatic number | 3

    Spectrum

    (-3)^1 (-2.68251)^2 (-1.83083)^2 (-0.918986)^2 (-0.71537)^2 (-0.309721)^2 0.309721^2 0.71537^2 0.918986^2 1.83083^2 2.68251^2 3^1

    Associated matrices

    Graph indices

    Hosoya index | 378426 Kirchhoff index | 289.9 stability index | 118810 Wiener index | 781

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