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Jul 19, 2013 at 20:49 comment added Piyush Grover Are you claiming graph theory has had more applications than analysis or Linear algebra? The whole of engineering and most of physics uses real and functional analysis and tonnes of linear algebra.
Jul 19, 2013 at 20:41 comment added David White Many of the applications you list end up getting represented as a graph. In my opinion graph theory is the most applicable area of pure math, and it certainly doesn't fall under the OP's (*). So I'm voting +1 here because it's the closest of all the answers to just saying "graph theory." The vast majority of data analysis involves some kind of graph algorithm which was originally developed for publication in a pure math journal. Scheduling and logistics are another application which would have fit in your answer. Logistics firms hire plenty of mathematicians. Microsoft Research too.
Jul 19, 2013 at 16:46 history made wiki Post Made Community Wiki by François G. Dorais
Jul 19, 2013 at 3:27 history answered Scott Carter CC BY-SA 3.0