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{\bf Gloria Rinaldi and Tommaso Traetta}
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{\bf Graph Products and New Solutions to Oberwolfach Problems}
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We introduce the {\it circle product}, a method to construct simple
graphs starting from known ones.  The circle product can be applied in
many different situations and when applied to regular graphs and to
their decompositions, a new regular graph is obtained together with a
new decomposition.  In this paper we show how it can be used to
construct infinitely many new solutions to the Oberwolfach problem, in
both the classic and the equipartite case.



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