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    Singleton Graph

    Image

    Image

    Notation

    K_1

    Basic properties

    vertex count | 1
edge count | 0
connected component count | 1

    Graph features

    acyclic | alternating group | antelope | apex | bicolorable | bipartite | bishop | black bishop | bridgeless | Bruhat | cactus | caterpillar | Cayley graphs | chordal | chordless | chromatically unique | circulant | class 1 | claw-free | complete | complete k-partite | complete tree | connected | determined by resistance | determined by spectrum | distance-regular | distance-transitive | edge-transitive | empty | Eulerian | fiveleaper | forest | grid | halved cube | Hamilton-connected | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | H-star connected | hypercube | identity | integral | king | Kneser | knight | LCF | line graphs | lobster | matchstick | median | Mycielski | no perfect matching | odd | Ore | path | path complement | perfect | permutation star | planar | pseudoforest | pseudotree | queen | regular | rook | rook complement | self-complementary | simple | square-free | star | strongly perfect | strongly regular | symmetric | traceable | transposition | tree | triangle-free | triangular | triangular grid | triangular honeycomb acute knight | triangular honeycomb bishop | triangular honeycomb king | triangular honeycomb obtuse knight | triangular honeycomb queen | triangular honeycomb rook | Turán | unit-distance | vertex-transitive | weakly perfect | well covered | white bishop | zero-two

    Complement graph

    singleton graph

    Line graph

    null graph

    Graph degrees

    vertex degrees | 0 (1 vertex)

    Topological properties

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

    Graph polynomials

    -x

    1

    1

    Coloring properties

    chromatic number | 1
edge chromatic number | 0

    Spectrum

    0^1

    Associated matrices

    {0}

    Graph indices

    Hosoya index | 1
Kirchhoff index | 0
stability index | 0
Wiener index | 0

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