Nice exploration of a new topic to me,
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This review is from: Introduction to Graph Theory (Paperback)
This book is printed upon good quality paper in a strong binding. The text is of a good size so those who need spectacles to read can manage better and its easier to read when holding the book.
*Briefly, what is graph Theory?
G. T. is a way of displaying relationships within information elements using finite sets of nodes and lines (edges). You may have heard of some of these such as the famous 'konigsberg' bridges problem, and the London underground.
* Items explored
At this level of studies, the following are discussed more widely, isomorphic graphs ( p. 9) that vary between relationships, chemical molecules, optimising of travel networks ' the Minimum Connector Problem' (p. 52-53) and 'Kirchoff' laws '/ Euler methods within small electrical networks (p. 54) operated with tree diagrams / planar graphs and network flows. These are really useful and well explained.
* Items discussed in In more depth
In more rewarding manner it concentrates upon 'Chinese Postman Problem' (p. 38 - 40) and 'Travelling Salesman Problem' (p. 41- 42 ) , deep or broad data searches, 'Weighted Activity Networks (Digraph) ' (p. 100 - 105). These are quite interesting to follow through and see how they operate. Basically, its the shortest way around a map of a place without repeating a road already used.
* important items in depth
A later part is to explore how to stop maps of countries having the same bordering colours, Chapter 6, (p. 81 -99). These methods have been applied in undergraduate programming studies to compose code and simulate the actions of road mapping software. If you read these book at these points makes its very clear and revealing explanation of the concepts. The coding for this is not in this book, however.
Its a nice book on a new - to - me topic. Its classed as an easier mathematical topic as so its needs less prerequisite studies than some other topics. Its still a satisfying easier topic at this undergraduate level. There are many examples questions and worked versions in the back pages of the book.