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1991, with author Galluccio A., in the category IASI Research Reports
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IASI Research Report n. 326 Anna Galluccio,
Loebl M.Paths/cycles of prescribed parity in planar digraphs.ABSTRACT In this paper we enlighten the structure of paths of prescribed parity in planar digraphs and we present a polynomial time algorithm for solving the following problem:
given a planar digraph G and a face F of G such that G - F has no even cycle, find a path of prescribed parity between two specified vertices of F.
The same algorithm can be recursively applied to provide a polynomial time procedure for finding even cycles in G - F (if any).