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    (1, 18)-black Bishop Graph

    Image

    Image

    Notation

    K^__9

    Basic properties

    vertex count | 9
edge count | 0
connected component count | 9

    Graph features

    acyclic | antelope | apex | bicolorable | bipartite | bishop | black bishop | block | bridgeless | camel | Cayley graphs | chordal | chordless | chromatically unique | circulant | class 1 | claw-free | determined by resistance | determined by spectrum | disconnected | distance-regular | distance-transitive | dominating unique | edge-transitive | empty | Eulerian | fiveleaper | flexible | forest | giraffe | integral | Kneser | knight | line graphs | linklessly embeddable | map | matchstick | Meyniel | nongeometric | nonhamiltonian | no perfect matching | outerplanar | perfect | planar | projective planar | pseudoforest | Ptolemaic | regular | rook complement | simple | split | square-free | strongly perfect | strongly regular | symmetric | triangle-free | Turán | ungraceful | unigraphic | uniquely colorable | uniquely embeddable | unit-distance | unswitchable | untraceable | vertex-transitive | weakly perfect | well covered | white bishop | zebra

    Complement graph

    9-complete graph

    Line graph

    null graph

    Graph degrees

    vertex degrees | 0 (9 vertices)

    Topological properties

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

    Graph polynomials

    x^9

    1

    1

    Coloring properties

    chromatic number | 1
edge chromatic number | 0

    Spectrum

    0^9

    Associated matrices

    (0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0)

    Graph indices

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

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