$\text{Taylor graph from }J(6,2) \cong \text{ Halved 6-cube}$

Number of vertices:$32$
Diameter:$3$
Intersection array:$\{15,6,1;1,6,15\}$
Spectrum:$15^1 5^6 (-1)^{15} (-3)^{10}$
Automorphism group:$2^5:S_6$
Distance-transitive:$\text{Yes}$
Antipodal




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$\text{Links}$


  • $\text{Wolfram: Taylor graph}$

  • $\text{Andries Brouwer: Johnson graph}$
  • $\text{Wikipedia: Johnson graph}$
  • $\text{Wolfram: Johnson graph}$
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    Last updated: 31 March 2019