vertex count | 50 edge count | 175 connected component count | 1

arc-transitive | biconnected | bridgeless | cage | class 1 | connected | cyclic | determined by spectrum | distance-regular | distance-transitive | edge-transitive | geodetic | Hamilton-connected | Hamilton-decomposable | Hamiltonian | H-star connected | imperfect | integral | LCF | local | Moore | nonempty | noneulerian | nonplanar | perfect matching | regular | septic | simple | square-free | strongly regular | symmetric | traceable | triangle-free | vertex-transitive

Hoffman-Singleton graph complement

line graph of the Hoffman-Singleton graph

vertex degrees | 7 (50 vertices)

radius | 2 diameter | 2 girth | 5 vertex connectivity | 7 edge connectivity | 7

(x - 7) (x - 2)^28 (x + 3)^21

chromatic number | 4 edge chromatic number | 7

(-3)^21 2^28 7^1

Kirchhoff index | 385 stability index | 2.651×10^21 Wiener index | 2275