An algorithm for embedding a biconnected planar graph to maximize the total sum of vertex- and edge-weights on the exterior window

An algorithm for embedding a biconnected planar graph to maximize the total sum of vertex- and edge-weights on the exterior window

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Article ID: iaor19921446
Country: Japan
Volume: J74-A
Issue: 7
Start Page Number: 1041
End Page Number: 1052
Publication Date: Jul 1991
Journal: Transactions of the Institute of Electronics, Information and Communication Engineers
Authors: , ,
Keywords: combinatorial analysis, optimization
Abstract:

Let G=(V,E) be a biconnected planar graph whose vertices and edges have weights. This paper presents an O(ℝVℝ) time algorithm for finding a planar embedding of G such that the total sum of weights of the vertices and edges on its exterior window has the maximum value among all the planar embeddings of G. [In Japanese.]

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