scholarly journals The uniqueness of a distance-regular graph with intersection array $$\{32,27,8,1;1,4,27,32\}$$ { 32 , 27 , 8 , 1 ; 1 , 4 , 27 , 32 } and related results

2016 ◽  
Vol 84 (1-2) ◽  
pp. 101-108 ◽  
Author(s):  
Leonard H. Soicher
Keyword(s):  
Regular Graph ◽  
Intersection Array ◽  
Distance Regular Graph

scholarly journals Yet Another Distance Regular Graph Related to a Golay Code

10.37236/1220 ◽  
1995 ◽  
Vol 2 (1) ◽  
Author(s):  
Leonard H. Soicher
Keyword(s):  
Automorphism Group ◽  
Regular Graph ◽  
Intersection Array ◽  
Distance Regular Graph ◽  
Golay Code ◽  
Transitive Graph

We describe a new distance-regular, but not distance-transitive, graph. This graph has intersection array $\{110,81,12;1,18,90\}$, and automorphism group $M_{22}\colon 2$.

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