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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...
$R$-matrices and Hamiltonian Structures for Certain Lax Equations
R-matrix Hamiltonian structure two-component BKP hierarchy
2010/12/28
In this paper R-matrices on a certain class of coupled Lie algebras are obtained.With one of these R-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hie...
$R$-matrices and Hamiltonian Structures for Certain Lax Equations
R-matrix Hamiltonian structure two-component BKP hierarchy
2011/3/4
In this paper R-matrices on a certain class of coupled Lie algebras are obtained.With one of these R-matrices, we construct infinitely many bi-Hamiltonian structures for both the two-component BKP hie...