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Bend minimization
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Bend minimization : ウィキペディア英語版
Bend minimization
In graph drawing styles that represent the edges of a graph by polylines (sequences of line segments connected at bends), it is desirable to minimize the number of bends per edge (sometimes called the curve complexity)〔.〕 or the total number of bends in a drawing.〔.〕 Bend minimization is the algorithmic problem of finding a drawing that minimizes these quantities.〔, p. 145.〕〔.〕
==Eliminating all bends==
The prototypical example of bend minimization is Fáry's theorem, which states that every planar graph can be drawn with no bends, that is, with all its edges drawn as straight line segments.〔, p. 140.〕
Drawings of a graph in which the edges are both bendless and axis-aligned are sometimes called ''rectilinear drawings'', and are one way of constructing RAC drawings in which all crossings are at right angles.〔 However, it is NP-complete to determine whether a planar graph has a planar rectilinear drawing,〔.〕 and NP-complete to determine whether an arbitrary graph has a rectilinear drawing that allows crossings.〔.〕

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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