An Edge-Isoperimetric Problem for Powers of the Petersen Graph
نویسندگان
چکیده
In this paper we introduce a new order on the set of n-dimensional tuples and prove that this order preserves nestedness in the edge isoperimetric problem for the graph Pn, defined as the nth cartesian power of the well-known Petersen graph. The cutwidth and wirelength of Pn are also derived. These results are then generalized for the cartesian product of Pn and the m-dimensional binary hypercube.
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