The largest Moore graph and a distance regular graph with intersection array ${55,54,2;1,1,54}$

2020 ◽  
Vol 59 (4) ◽  
pp. 471-479
Author(s):  
A. A. Makhnev ◽  
D. V. Paduchikh
Keyword(s):  
Regular Graph ◽  
Intersection Array ◽  
Distance Regular Graph ◽  
Moore 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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