Synopsis
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
Ideal for readers of graph theory and algorithms who want a rigorous, constructive treatment of planar embeddings and their counts.
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Counting Embeddings of Planar Graphs Using Dfs Trees (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book studies the methods used to count planar graphs, an important class of graphs in mathematics and computer science. The author explores a variety of approaches, resulting in new formulas and algorithms that improve the efficiency of counting embeddings, specifically connected and unconnected graphs. This work builds on existing research in graph theory and contributes to the body of knowledge on algorithms for graph problems. By investigating planar graphs and their embeddings, the author provides valuable insights into the mathematical structures of graphs and advances the understanding of planar graph problems. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333432713_0
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Counting Embeddings of Planar Graphs Using Dfs Trees Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333432713
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Counting Embeddings of Planar Graphs Using Dfs Trees Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333432713
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