We state and prove several theorems that demonstrate how the coordinate Bethe Ansatz for the eigenvectors of suitable transfer matrices of a generalised inhomogeneous five-vertex model on the square lattice, given certain conditions hold, is equivalent to the Gessel-Viennot determinant for the number of configurations of N non-intersecting directed lattice paths, or vicious walkers, with variou...

In this paper, I introduce main concepts of delay-tolerant networks and their architecture. Delay-tolerant networks are designed to operate in environments characterized by very long delay paths and frequent network partitions. In the end, I give results of performance evaluation of the DTN store-and-forward approach compared to traditional Internet data transfer protocols. The paper does not i...

We review the solution of the Ar Q-systems in terms of the partition function of paths on a weighted graph, and show that it is possible to modify the graphs and transfer matrices so as to provide an explicit connection to the theory of planar networks introduced in the context of totally positive matrices by Fomin and Zelevinsky. We also apply our method to give a simple solution for the rank ...

As the access links of the Internet get faster, there is an incentive for the end hosts to demand higher throughputs. To meet their demands with minimum change at the Internet core, it is necessary to explore the existing core capacity efficiently. Multipath transport protocols try to address this problem by allocating traffic efficiently and fairly over some preselected paths, thus utilizing t...

The routing efficiency in Mobile Ad Hoc Networks (MANETs) suffers from frequent battery drains, mobility and large variation of received signal strength. Thus, nodes and links in MANETs become more vulnerable and unstable. Multicast routing in MANETs for group communication requires establishment of reliable links between neighbouring nodes called as reliability pair beginning from the source a...

This review paper presents analytical information regarding the transfer of TCP data flows on paths towards interconnected wireless systems, with emphasis on 3G cellular networks. The focus is on protocol modifications in face of problems arising from terminal mobility and wireless transmission. The objective of this paper is not to present an exhaustive review of the literature, but to filter ...

Both a theoretical approach and measurements of channel characteristics have been carried out to determine the maximum capacity which can be expected when MIMO techniques are implemented in tunnels, and especially in subway tunnels. The influence of the position of the antennas inside the transmitting and the receiving arrays on the correlation between paths and on the singular values of the tr...

This report presents analytical information regarding the transfer of TCP data flows on paths towards interconnected wireless systems, with emphasis on 3G cellular networks. The focus is on protocol modifications in face of problems arising from terminal mobility and wireless transmission. The objective of this report is not to present an exhaustive review of the literature, but to filter out t...

Globally non-positively curved, or CAT(0), polyhedral complexes arise in a number of applications, including evolutionary biology and robotics. These spaces have unique shortest paths and are composed of Euclidean polyhedra, yet many properties of convex hulls in Euclidean space fail to transfer over. We give examples of some such properties. For 2-dimensional CAT(0) polyhedral complexes, we gi...