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A peer-to-peer overlay network is a logical network, built on top of a physical network. In contrast to classical client-server distributed architectures, peer-to-peer overlay networks allow location of resources without centralized control. Existing overl ...
We deal with non-rank facets of the stable set polytope of claw-free graphs. We extend results of Giles and Trotter [7] by (i) showing that for any nonnegative integer a there exists a circulant graph whose stable set polytope has a facet-inducing inequali ...
In this thesis we focus our attention on the stable set polytope of claw-free graphs. This problem has been open for many years and albeit all the efforts engaged during those last three years, it is still open. This does not mean that no progress has been ...
We consider exploration problems where a robot has to construct a complete map of an unknown environment. We assume that the environment is modeled by a directed, strongly connected graph. The robot's task is to visit all nodes and edges of the graph using ...
We calculate the average throughput benefit that network coding can offer as compared to routing for different classes of multicast configurations over directed graphs. The averaging is over the throughput each individual receiver experiences. For the case ...
This dissertation presents a systematic exposition on finite-block-length coding theory and practice. We begin with the task of identifying the maximum achievable rates over noisy, finite-block-length constrained channels, referred to as (ε, n)-capacity Cε ...
A polynomial time solution algorithm is described to find a smallest subset R of nodes of a directed graph D=(V,A) such that, for every node v in V-R, there are k edge-disjoint paths from R to v and there are l edge-disjoint paths from v to R. ...
We deal with non-rank facets of the stable set polytope of claw-free graphs. We extend results of Gilles and Trotter (7) by (i) showing that for any nonnegative integer a there exists a circulant graph whose stable set polytope has a facet-inducing inequal ...
We design low-density parity-check (LDPC) codes that perform at rates extremely close to the Shannon capacity. The codes are built from highly irregular bipartite graphs with carefully chosen degree patterns on both sides. Our theoretical analysis of the c ...
We present randomized constructions of linear-time encodable and decodable codes that can transmit over lossy channels at rates extremely close to capacity. The encod-ing and decoding algorithms for these codes have fast and simple software implementations ...
