From charlesreid1

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{{Main|Graphs/Matching}}
{{Main|Graphs/Matching}}


Chapter 2 introduces wave after wave of new terms and notation, so it's hard to follow. It essentially covers the concept of finding a set of edges that can connect all vertices between two subsets of vertices on a graph.
Chapter 2 introduces wave after wave of new terms and notation, and is a bit hard to follow. It covers the concept of finding a set of edges that can connect all vertices between two subsets of vertices on a graph.
 
It starts with the (easier) bipartite graph case, where we wish to find the minimum or maximum set of edges that connect every vertex in vertex set A with every vertex in vertex set B.
 
Then it moves on to the k-partite graph case, covering several "useful" theorems. I've no idea how any of this is actually useful, since there's no discussion of practical consequences.


===Chapter 3: Connectivity===
===Chapter 3: Connectivity===

Revision as of 08:00, 5 September 2017

Graphs are mathematical objects consisting of nodes and edges. The original inventor of graph theory was Leonhard Euler, who used it to solve the Seven Bridges of Königsberg problem.

Notes

Goodrich - Data Structures - Chapter 12

The Goodrich book is less extensive, less mathematical, and more practical. The focus is on graph implementations, not on graph theory.

See Graphs/Data Structures

Diestel - Graph Theory

Link to book: http://www.cs.unibo.it/babaoglu/courses/cas00-01/tutorials/GraphTheory.pdf

Chapter 1: Basics

Chapter 1 is a litany of definitions, concepts, and theorems important to laying the groundwork for discussing graph theory.

Chapter 2: Matching

Chapter 2 introduces wave after wave of new terms and notation, and is a bit hard to follow. It covers the concept of finding a set of edges that can connect all vertices between two subsets of vertices on a graph.

Chapter 3: Connectivity

Chapter 3 covers k-connectedness on graphs. Being k-connected means any two of its vertices can be joined by k independent paths.

Remaining Chapters

Reading this book is like trying to eat cardboard. No real insight or learning here.

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