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    Singleton Graph

    Image

    Image

    Notation

    K_1

    Alternate names

    0-hypercube graph | 0-Pell graph | 0-triangular grid graph | (1, 0)-permutation star graph | (1, 1, 1, 1)-grid graph | (1, 1, 1)-grid graph | (1, 1)-antelope graph | (1, 1)-bishop graph | (1, 1)-black bishop graph | (1, 1)-camel graph | ...

    Basic properties

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

    Graph features

    acyclic | alternating group | antelope | antipodal | apex | bicolorable | bipartite | bishop | black bishop | block | bridgeless | Bruhat | cactus | camel | caterpillar | Cayley graphs | chordal | chordless | chromatically unique | circulant | class 1 | claw-free | complete | complete k-partite | complete tree | conformally rigid | connected | controllable | determined by resistance | determined by spectrum | distance-hereditary | distance-regular | distance-transitive | dominating unique | edge-transitive | empty | Eulerian | fiveleaper | forest | geodetic | giraffe | graceful | grid | halved cube | Hamilton-connected | Hamilton-decomposable | Hamiltonian | Hamilton-laceable | highly irregular | H-star connected | hypercube | identity | integral | king | Kneser | knight | KP | k-tree | Laman | LCF | line graphs | linklessly embeddable | lobster | Lucas cube | map | matchstick | median | Meyniel | Mycielski | nongeometric | no perfect matching | odd | Ore | outerplanar | path | path complement | Pell | perfect | permutation star | planar | projective planar | pseudoforest | pseudotree | Ptolemaic | quadratically embeddable | queen | regular | rigid | rook | rook complement | self-complementary | series-reduced | simple | smallest fully forested | split | 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 | triangular snake | Turán | unigraphic | uniquely colorable | uniquely embeddable | uniquely graceful | uniquely Hamiltonian | unit-distance | unswitchable | vertex-transitive | weakly perfect | well covered | white bishop | zebra | zero-two

    Complement graph

    singleton 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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