Geodesic
On Mazurov triples of the sporadic group~$B$ and Hamiltonian cycles of the Cayley graph
Diskretnaya Matematika, Tome 20 (2008) no. 1, pp. 87-93.

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A system of generators of a group consisting of three involutions, two of which commute, is called a Mazurov triple. We describe algorithms for finding in an explicit form the Mazurov triples of one of the sporadic Monsters, the finite simple group $B$, and for constructing a Hamiltonian cycle in the Cayley graph of the finite group with Mazurov triple. We give examples of Hamiltonian cycles in the Cayley graphs of some groups. 
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A. I. Makosiy; A. V. Timofeenko. On Mazurov triples of the sporadic group~$B$ and Hamiltonian cycles of the Cayley graph. Diskretnaya Matematika, Tome 20 (2008) no. 1, pp. 87-93. http://geodesic.mathdoc.fr/item/DM_2008_20_1_a7/

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