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Let rKa,b be a complete bipartite multigraph. We show a necessary and sufficient condition for a multigraph rKa,b to be arbitrarily decomposable into open trails. We extend the results obtained by Balister for complete graphs (Balister in Probab Comput 10:463–499, 2001). Moreover we show that a multigraph rKa,b with even r and a ≥ 3 or b ≥ 3 is arbitrarily decomposable into open...
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