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- W1615212840 abstract "In this paper we study the problem of triangulating a planar graph G while minimizing the maximum degree Δ(G′) of the resulting triangulated planar graph G′. It is shown that this problem is NP-complete. Worst-case lower bounds for Δ(G′) with respect to Δ(G) are given. We describe a linear algorithm to triangulate planar graphs, for which the maximum degree of the triangulated graph is only a constant larger than the lower bounds. Finally we show that triangulating one face while minimizing the maximum degree can be achieved in polynomial time. We use this algorithm to obtain a polynomial exact algorithm to triangulate the interior faces of an outerplanar graph while minimizing the maximum degree." @default.
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- W1615212840 date "1992-01-01" @default.
- W1615212840 modified "2023-10-16" @default.
- W1615212840 title "Triangulating planar graphs while minimizing the maximum degree" @default.
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- W1615212840 doi "https://doi.org/10.1007/3-540-55706-7_22" @default.
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