The acircuitic directed star arboricity of subcubic graphs is at most four |
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Authors: | Alexandre Pinlou |
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Institution: | LaBRI, Université Bordeaux I, 351, cours de la Libération, 33405 Talence Cedex, France |
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Abstract: | A directed star forest is a forest all of whose components are stars with arcs emanating from the center to the leaves. The acircuitic directed star arboricity of an oriented graph G (that is a digraph with no opposite arcs) is the minimum number of arc-disjoint directed star forests whose union covers all arcs of G and such that the union of any two such forests is acircuitic. We show that every subcubic graph has acircuitic directed star arboricity at most four. |
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Keywords: | Acircuitic directed star arboricity Directed star forest |
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