Topological Labeling of Periodic Graphs
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چکیده
In this paper, we extend the de nition of topological labeling of nite directed acyclic graphs to in nite acyclic periodic graphs. Unlike nite acyclic graphs, we show that acyclic periodic graphs cannot be topologically labelled with integers in general. However, we show that these graphs can be labelled with rationals. We also give su cient conditions for the existence of an integral topological labeling. The labels are obtained by solving a sequence of linear programs.
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تاریخ انتشار 1998