Natural Blogarithms

I had a lot of fun a few years back preparing a module and a talk for a regional Mathematics and Science teachers conference at WTAMU.  In fact, this year was the first in several years that I did not prepare a talk for this particular conference.  I am already preparing one for next year on utilizing specific web 2.0 tools in the mathematics classroom.  The talk I mentioned above was on Graph Theory, which basically models the pairwise connectedness between objects from a certain set.  Of course it included as a launching point, one of the earliest results from graph theory, the Seven Bridges of Königsberg, which demonstrated that it was impossible to traverse a path that crossed all seven bridges without crossing any bridge twice.

I thought the applet below was a fairly neat application of graph theory, converting a website into a color coded graph.  Once you type in a website it will create the graph showing the aspects of the websites such as forms, tables, links, and other sorts of html tags.  They are presented as dots (vertices) with pairwise connections, thus creating a graph.  The specifics of the generation are unclear but it does have a nifty result.  I’ve played with it longer than a should have creating graphs for all of my websites.  This blog’s “graph” is pictured.

Websites As Graphs (you can enter the url of any website)

Graphify my blog