Monday, 6 October 2008

Operational Research and the Bible

An interesting diagram has been posted in a forum for vsiualising information.
The picture has one entry along the x-axis for each chapter in the Bible and there are coloured arcs between chapters which cross-reference to one another. (This means that there is a word, phrase or idea that occurs in one chapter that also appears in another; "The Lord is my Shepherd" in Psalms links with "I am the Good Shepherd" in the gospels.) There are 63779 such arcs -- the picture is beautiful. Mathematicians and O.R. scientists will recognise that the structure is a graph, with each chapter a vertex, and that leads to assorted questions about the graph. How many components does it have? Are there isolated vertices? What are the properties of the components?

I'd like to hear answers.

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