平面图的研究现状

M. Rahman
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引用次数: 1

摘要

图由一组顶点和一组边组成,每个边连接两个顶点。一个图形是平面的,如果它可以嵌入在平面中,使得两条边在几何上不相交,除非它们都在一个顶点上相交。平面图是具有固定嵌入的平面图。平面图以其广泛的应用引起了计算机科学家的兴趣,并获得了许多有趣的算法和复杂性结果。在这篇演讲中,我们概述了关于平面图的一些结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Current Research on Planar Graphs
A graph consists of a set of vertices and a set of edges, each joining two vertices. A graph is planar if it can be embedded in the plane so that no two edges intersect geometrically except at a vertex to which they are both incident. A plane graph is a planar graph with a fixed embedding. Planar graphs have attracted computer scientists' interest due to their enormous applications, and a lot of interesting algorithms and complexity results have been obtained for planar graphs. In this talk we survey the results on planar graphs.
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