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Round 7: Graphs, part I
Different kinds of graphs and networks appear everywhere:
the processor of a computer is a network of logic gates
the internet is a network of computers
social networks are formed of people and different relations, such as friendship, between them
maps
dependency graphs (course prerequisites etc)
etc and etc
As an example,
a part of the internet in 2005
is shown below (figure: Matt Britt, Creative Commons license, source).
The network of European E roads (figure: public domain, source).
In this round,
we study some fundamental mathematical definitions for graphs
and
some elementary graph algorithms.
Using the terms provided in the mathematical abstraction
allows us to develop and use graph algorithms in many applications domains,
irrespective of whether the vertices are cities or people
and
whether the edges are relations or roads.
Material in Introduction to Algorithms, 3rd ed. (online via Aalto lib):
Some external links:
