Graphs, Algorithms, and Optimization Donald L. Kreher, William Kocay
Publisher: Chapman and Hall/CRC

Research Areas: Data structures ; graph algorithms ; combinatorial optimization; computational complexity; computational geometry ; parallel algorithms . N3, n1, n5], n5: [n5], n1: [n1, n2, n3, n5]} . Also a method for the use of synchronized reduced visibility graph information for swarm flight path optimization is presented. Finally, a communication retention logic for the swarm is proposed. The treewidth of a graph measures how close the graph is to being a tree and parameterizing by treewidth we get fixed parameter tractable (FPT) algorithms for many problems. Research Areas: Computational Complexity, Graph Theory and Combinatorial Optimization. All lectures will take place at Research Wing room #208 (or #209). Well it depends on your implementation and your navigational graph. Experience in bioinformatics is not strictly required but highly desirable. I'm floundering with finding graph algorithm references online, so if anyone could point me at an efficient algorithm description for reachability, I'd appreciate it. I imagine there could be some kind of weighted-graph type algorithm that works on this, but I have no idea how it would work, let alone how to implement it. Prerequisites: Reasonable mathematical maturity, knowledge of algorithm design and analysis. So today I'm going to just discuss optimizing the algorithm, not a low level implementation but rather the some of the high level issues. For free discussion time, Research Wing rooms (#202,#207,#208,#209) are available. In the previous article of this series, we looked at complex and BigRational , which are two numeric types that are available in F# PowerPack. Excellent background in algorithms and optimization on graphs as well as computer programming skills. Using matrices for graph algorithms. These algorithms were based on clever use of the homomorphic properties of random projections of the graph's adjacency matrix. @Jason: If you want to optimize that algorithm for speed, put the mark bit in the vertex itself rather than looking it up in an external visited set. (An example of something that is not helpful I'd be surprised if the bottleneck weren't elsewhere.