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Odd-order Cayley graphs with commutator subgroup of order pq are hamiltonian
Cayley graph hamiltonian cycle commutator subgroup
2012/5/9
We show that if G is a nontrivial, finite group of odd order, whose commutator subgroup [G,G] is cyclic of order p^m q^n, where p and q are prime, then every connected Cayley graph on G has a hamilton...
Points rationnels sur les quotients d'Atkin-Lehner de courbes de Shimura de discriminant $pq$
Points rationnels quotients d’Atkin-Lehner
2011/2/21
Let p and q be two distinct prime numbers, and Xpq/wq be the quotient of the Shimura curve of discriminant pq by the Atkin-Lehner involution wq. We describe a way to verify in wide generality a criter...
阶p~2和pq的Cayley图的Hamilton分解
Cayley图 Hamilton分解
2007/12/11
该文证明了Abel群上阶pq或p~2的任意连通Cayley图有Hamilton分解,其中p和q是奇素数.该结果部分地回答了Alspach关于Abel群上2k正则连通Cayley图Hamilton分解的一个猜想.