Planar Graphs: Theory and Algorithms

Description

Collected in this volume are most of the important theorems and algorithms currently known for planar graphs, together with constructive proofs for the theorems. Many of the algorithms are written in Pidgin PASCAL, and are the best-known ones; the complexities are linear or 0(nlogn). The first two chapters provide the foundations of graph theoretic notions and algorithmic techniques. The remaining chapters discuss the topics of planarity testing, embedding, drawing, vertex- or edge-coloring, maximum independence set, subgraph listing, planar separator theorem, Hamiltonian cycles, and single- or multicommodity flows. Suitable for a course on algorithms, graph theory, or planar graphs, the volume will also be useful for computer scientists and graph theorists at the research level. An extensive reference section is included.



Included in series:

Annals of Discrete Mathematics, 32

North-Holland Mathematics Studies, 140



Contents



Graph Theoretic Foundations.

Some Basic Definitions. Planar Graphs. Euler's Formula. Kuratowski's Theorem. Dual Graphs. Bounds for Planar Graphs.



Algorithmic Foundations.

What is an Algorithm? Machine Model and Complexity. NP-Complete. Data Structure and Graph Representation. Exploring a Graph.



Planarity Testing and Embedding.

Planarity Testing. Embedding Algorithm.



Drawing Planar Graphs.

Convex Drawing. Convex Testing. Example.



Vertex-Coloring.

Proof of Five-Coloring Theorem and 0(n2) Algorithm. Batch Processing Algorithm. Sequential Processing Algorithm.



Edge-Coloring.

Algorithm COLOR. Algorithm ALCOLOR. Edge-Coloring Multigraphs.



Independent Vertex Sets.

Approximation Algorithm. Baker's Algorithm.



Listing Subgraphs.

Arboricity and Efficient Edge-Searching. Listing Triangles. Listing Quadrangles. Listing Maximal Cliques.



Planar Separator Theorem.

Applications of the Planar Separator Theorem. Maximum Matching. Minimum Vertex Cover.



Hamiltonian Cycles.

Proof of Tutte's Theorem. Algorithm and 0(n2) Bound. Hamiltonian Walk.



Flows in Planar Graphs.

Definition of Multicommodity Flows. Planar Single-Commodity Flow. Multicommodity Flows for C1. Multicommodity Flows for Ca. Bibliography. Index.

Disclaimer:
Contents of this page are indexed from the Internet. All actions are under your responsability. Email us to report illegal contents or external links and we'll remove them immediately.

Download links for "Planar Graphs: Theory and Algorithms":



How to Download
You may need eMule or Bittorrent to download ebook torrents or emule links.

Report Dead Link
Please leave a comment to report dead links, so that someone else may update new links.

1. Ebooks list page : 811
2. Graphs, Algorithms, and Optimization
3. Graphs, Networks and Algorithms
4. Graphs, Networks and Algorithms
5. Graphs, Networks and Algorithms
6. Graphs, Networks and Algorithms (ReUp)
7. Optimization Algorithms for Networks and Graphs, Second Edition
8. Graphs, Dioids and Semirings: New Models and Algorithms
9. Optimization Algorithms for Networks and Graphs, Second Edition
10. Graph Drawing: Algorithms for the Visualization of Graphs
11. Qualitative Theory of Planar Differential Systems
12. Qualitative Theory of Planar Differential Systems
13. Elementary Number Theory, Group Theory and Ramanujan Graphs
14. [request_ebook] Algorithms on Trees and Graphs
15. Theory and Application of Graphs (Network Theory and Applications)
16. [share_ebook] Graphs Dioids and Semirings New Models and Algorithms May 2008 eBook-DDU