Sinopsis
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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Reseña del editor
Excerpt from Counting Embeddings of Planar Graphs Using Dfs Trees
Observation 1. Let C be a simple closed curve on the plane as in Fig. 2; let a be a point inside C and b be a point outside C. Then any curve that joins a and b will cross C.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Counting Embeddings of Planar Graphs Using Dfs Trees (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: 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. Nº de ref. del artículo: 9781333432713_0
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Counting Embeddings of Planar Graphs Using Dfs Trees Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781333432713
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Counting Embeddings of Planar Graphs Using Dfs Trees Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781333432713
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