Counting Embeddings of Planar Graphs Using Dfs Trees (Classic Reprint) - Softcover

Inhaltsangabe

Explore how planar graph embeddings are counted using DFS trees and structured maps. This book explains methods to count and generate embeddings of planar graphs, using DFS representations and careful partitioning of edges.

It covers how to move from biconnected graphs to general graphs, and from planar maps to reduced partitions. The approach combines planarity testing with counting techniques to count embeddings and to generate them efficiently.

• How DFS representations are used to analyze tree and back edges in planar graphs


• Techniques for counting embeddings of biconnected graphs and extending to general graphs


• Concepts like planar maps, reduced maps, and reduced partitions for counting


• Methods to generate a single embedding or all embeddings in time linear to input and output

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