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* 0.7, 2011-02-23 --- Fleshed out chapter "Random Graphs". Here is the
content of the chapter in brief:
1. Network statistics
2. Binomial random graph model
3. Erdos-Renyi model
4. Small-world networks
5. Scale-free networks
* 0.6, 2011-01-05 --- New chapter "Tree Data Structures" discussing
priority queues and various efficient implementations of priority
queues, including binary heaps and binomial heaps. Here is the
content of the new chapter in brief:
1. Priority queues
2. Binary heaps
3. Binomial heaps
4. Binary search trees
* 0.5, 2010-11-30 --- Fleshed out chapter "Trees and Forests". Along
the way, numerous problems/exercises were added to the introductory
chapter "Introduction to Graph Theory" and the chapter "Graph
Algorithms". Needless to say, there are also the multitude of typo
fixes throughout the book. We, the authors of the book, gratefully
acknowledge contributions from the following people while preparing
this release:
* Caroline Melles
* Pravin Paratey
See the section "Acknowledgments" in the book for full details on
their contributions. Here is an outline of topics covered in the newly
fleshed out chapter "Trees and Forests":
* Definitions and examples relating to trees and forests.
* Various basic characterizations of trees.
* Techniques for constructing minimum spanning trees: a randomized
* spanning tree construction algorithm and the usual suspects including
Kruskal's algorithm, Prim's algorithm, and Boruvka's algorithm.
* Binary trees and an algorithm to construct a random binary
tree. Application topics include coding theory, Gray code, and
Huffman code.
* The usual suspects of tree traversal algorithms: level-order,
pre-order, post-order, and in-order.
* 0.3, 2010-03-18 --- Initially, I started writing that book in
November 2009 as a way to document the graph theory module of
Sage. In the process, I discovered two bugs (cf. #8372 and
#8395). In January 2010, David Joyner began contributing to the
book, resulting in the release of version 0.2 on 26th January
2010. Recently, Nathann Cohen contributed a chapter to the book. And
with David's latest patch, a first draft of the chapter on trees and
forests is complete. Notable changes in version 0.3 include:
* A first draft of the chapter "Trees and Forests".
* Polishing up the chapter "Introduction to Graph Theory". The majority
of the tikz/pgf macros of this chapter have been rewritten to make
them more compact.
* A first draft of the chapter "Graph Problems and Their LP
Formulations".
* Fix typos reported by Fidel Barrera-Cruz and Daniel Black.
A big thank you to Fidel and Daniel.
* 0.1, 2009-12-16 --- Outline the content of the book.