GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use, Privacy Policy and Consent Disclaimer

    Home / Get Math Help

    10-circulant Graph (5)

    Image

    Notation

    5P_2

    Basic properties

    vertex count | 10 edge count | 5 connected component count | 5

    Graph features

    acyclic | apex | arc-transitive | bicolorable | bipartite | bridged | Cayley graphs | chordal | chordless | chromatically nonunique | circulant | class 1 | claw-free | determined by resistance | determined by spectrum | disconnected | distance-regular | distance-transitive | edge-transitive | fiveleaper | forest | Haar | integral | Knödel | ladder rung | line graphs | matchstick | nonempty | noneulerian | nonhamiltonian | outerplanar | perfect | perfect matching | planar | projective planar | pseudoforest | regular | simple | square-free | strongly perfect | strongly regular | symmetric | triangle-free | ungraceful | uniquely colorable | unit-distance | untraceable | vertex-transitive | weakly perfect | well covered

    Complement graph

    5-cocktail party graph

    Line graph

    5-empty graph

    Graph degrees

    vertex degrees | 1 (10 vertices)

    Topological properties

    radius | ∞ diameter | ∞ girth | ∞ vertex connectivity | 0 edge connectivity | 0

    Graph polynomials

    (x - 1)^5 (x + 1)^5

    (x + 1)^5

    x^5

    Coloring properties

    chromatic number | 2 edge chromatic number | 1

    Spectrum

    (-1)^5 1^5

    Associated matrices

    Graph indices

    Hosoya index | 32 Kirchhoff index | ∞ stability index | 32 Wiener index | ∞

    Back to List | POWERED BY THE WOLFRAM LANGUAGE