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(1, 5)-knight Graph

Image

Notation

K^__5

Alternate names

(1, 10)-black bishop graph | (1, 10)-white bishop graph | (1, 11)-white bishop graph | (1, 5)-bishop graph | (1, 5)-camel graph | (1, 5)-fiveleaper graph | (1, 5)-giraffe graph | (1, 5)-knight graph | (1, 5)-rook complement graph | (1, 5)-zebra graph | ...

Basic properties

vertex count | 5 edge count | 0 connected component count | 5

Graph features

bicolorable | bipartite | class 1 | knight | Meyniel | perfect | simple | triangle-free | uniquely colorable | unit-distance | weakly perfect

Complement graph

pentatope graph

Line graph

null graph

Graph degrees

vertex degrees | 0 (5 vertices)

Topological properties

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

Graph polynomials

x^5

1

1

Coloring properties

chromatic number | 1 edge chromatic number | 0

Spectrum

0^5

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)

Graph indices

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

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