E-viri
Recenzirano
-
Dobson, Ted
Graphs and combinatorics, 05/2016, Letnik: 32, Številka: 3Journal Article
Marušič–Scapellato graphs are vertex-transitive graphs of order m ( 2 k + 1 ) , where m divides 2 k - 1 , whose automorphism group contains an imprimitive subgroup that is a quasiprimitive representation of SL ( 2 , 2 k ) of degree m ( 2 k + 1 ) . We show that any two Marušič–Scapellato graphs of order pq , where p is a Fermat prime, and q is a prime divisor of p - 2 , are isomorphic if and only if they are isomorphic by a natural isomorphism derived from an automorphism of SL ( 2 , 2 k ) . This work is a contribution towards the full characterization of vertex-transitive graphs of order a product of two distinct primes.
