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The novel representation of the graph using edge based data structure, as proposed in [1] is an adapted version of half edge structure, traditionally used in digital geometry processing [6]. This edge based data structure provides an efficient way for storing and accessing graphs. However the shortest path algorithm implemented in [1] on the above mentioned data structure proves to be inefficient...
Computing convex hull for a given set of points is one of the most explored problems in the area of computational geometry (CG). If the set of points is distributed among a set of parties who jointly wish to compute the convex hull, each party can send his points to every other party, and can then locally compute the hull using any of the existing algorithms in CG. However such an approach does not...
We consider the problem of designing distributed scheduling algorithms for wireless networks. We present two algorithms, both of which achieve throughput arbitrarily close to that of maximal schedules, but whose complexity is low due to the fact that they do not necessarily attempt to find maximal schedules. The first algorithm requires each link to collect local queue-length information in its neighborhood,...
Given a universe U of n elements and a weighted collection l of m subsets of U, the universal set cover problem is to a-priori map each element u epsi U to a set S(u) epsi l containing u, so that X sube U is covered by S(X)=UuepsiXS(u). The aim is finding a mapping such that the cost of S(X) is as close as possible to the optimal set-cover cost for X. (Such problems are also called oblivious or a-priori...
We present two results related to the computational complexity of lossy compression. The first result shows that for a memoryless source Ps with rate-distortion function R(D), the rate-distortion pair (R(D) + gamma, D + isin) can be achieved with constant decoding time per symbol and encoding time per symbol proportional to C1(gamma)isin-C2(gamma). The second results establishes that for any given...
The Border Gateway Protocol (BGP) is the standard protocol for exchanging routing information between border routers of Autonomous Systems (ASes) in today's Internet. Within an AS, border routers exchange externally-learned BGP route advertisements via Internal-BGP (I-BGP) peerings. Naive solutions for these I-BGP peering sessions (e.g., based on full-mesh topologies) simply cannot scale to the sizes...
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