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This paper provides an overview of work being done in the EntryPoint project, which is examining the first course work in computing degrees. A key goal of this project is to move away from the traditional CS1/CS2 programming courses as the start of a computing degree. In addition, the project team is looking at how these ideas might be extended to BSSE degree programs. As such, this paper will discuss...
An algorithm is presented to compute a canonical form of regular graphs. There is a constant c such that for each constant d the average running time of the algorithm over all d-regular graphs with N vertices is not greater than cNd, provided N is sufficiently large.
Random Polynomial Time (Rp) is currently considered to be the class of tractable computational problems. Here one assumes a source of truly random bits. However, the known sources of randomness are imperfect. They can be modeled as an adversary source, called slightly-random source. Slightlyrandom Polynomial Time (SRp) is the class of problems solvable in polynomial time using such a source. SRp is...
We show that there can be no computationally tractable description by linear inequalities of the polyhedron associated with any NP-complete combinatorial optimization problem unless NP = co-NP -- a very unlikely event. We also apply the ellipsoid method for linear programming to show that a combinatorial optimization problem is solvable in polynomial time if and only if it admits a small generator...
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