论文标题

双峰图的平面L绘制

Planar L-Drawings of Bimodal Graphs

论文作者

Angelini, Patrizio, Chaplick, Steven, Cornelsen, Sabine, Da Lozzo, Giordano

论文摘要

在有向图(Digraph)的平面L绘制中,每个边缘E表示为一个多线线,由垂直段组成,始于E的尾部,在E头的水平段开始。不同的边缘可能重叠,但不会交叉。我们的主要重点是双峰图,即,挖掘物接纳了一个平面嵌入的图形,在该平面上,每个顶点周围的传入和外边缘是连续的。我们表明,每个没有2个循环的平面二型图都允许平面L绘制。这包括向上平面图的类。最后,外平面挖掘物承认了平面L绘制 - 尽管它们并不总是具有双峰嵌入 - 但不一定是外平面嵌入。

In a planar L-drawing of a directed graph (digraph) each edge e is represented as a polyline composed of a vertical segment starting at the tail of e and a horizontal segment ending at the head of e. Distinct edges may overlap, but not cross. Our main focus is on bimodal graphs, i.e., digraphs admitting a planar embedding in which the incoming and outgoing edges around each vertex are contiguous. We show that every plane bimodal graph without 2-cycles admits a planar L-drawing. This includes the class of upward-plane graphs. Finally, outerplanar digraphs admit a planar L-drawing - although they do not always have a bimodal embedding - but not necessarily with an outerplanar embedding.

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