topology analysis of the join phase of the merge protocol Peter Backes and Jan Reineke 1 Universität des Saarlandes, Saarbrücken, Germany [email protected] 2 University of California, Berkeley [email protected] Abstract. We present a partial solution to the TTC2010 topology analysis case study. We pick a small part of the merge protocol, namely the part where cars join a leader to form a...

This paper presents a method for hypothesis verification in automatic road extraction based on the topology of road networks. The method includes the generation of topology of road networks, verification of hypothesized road segments and prediction of missing road segments. The topology of road networks is generated using small scale aerial images as they exhibit a global structure of road netw...

in this paper, we generalize fuzzy banach contraction theorem establishedby v. gregori and a. sapena [fuzzy sets and systems 125 (2002) 245-252]using notion of altering distance which was initiated by khan et al. [bull. austral.math. soc., 30(1984), 1-9] in metric spaces.

Despite the large size of most communication systems such as the Internet and World Wide Web (WWW), there is a relatively short path between two nodes, revealing the networks’ small world characteristic which speeds the delivery of information and data. While these networks have a surprising error tolerance, their scale-free topology makes them fragile under intentional attack, leaving us a cha...

The model of neural networks on the small-world topology, with metric (local and random connectivity) is investigated. The synaptic weights are random, driving the network towards a chaotic state for the neural activity. An ordered macroscopic neuron state is induced by a bias in the network connections. When the connections are mainly local, the network emulates a block-like structure. It is f...

This paper employs topology optimization to systematically design free-topology loss-engineered slow-light waveguides with enlarged group index bandwidth product (GBP). The propagation losses of guided modes are evaluated by the imaginary part of eigenvalues in complex band structure calculations, where the scattering losses due to manufacturing imperfections are represented by an edge-related ...

For reliability-based topology optimization (RBTO) of double layer grids, a two-stage optimization method is presented by applying “Solid Isotropic Material with Penalization” and “Ant Colony Optimization” (SIMP-ACO method). To achieve this aim, first, the structural stiffness is maximized using SIMP. Then, the characteristics of the obtained topology are used to enhance ACO through six modific...

We present our results on the visualization of non-linear vector field topology. The underlying mathematics is done in Clifford algebra, a system describing geometry by extending the usual vector space by a multiplication of vectors. We started with the observation that all known algorithms for vector field topology are based on piecewise linear or bilinear approximation and that these methods ...

In our previous work, we demonstrated that the Borel Cayley Graph topology control (BCG-TC) is an efficient topology control algorithm for producing an underlying network topology resembling a 4-regular Borel Cayley Graph and assuring small diameter, short average path length and superb power efficiency. But the BCG-TC networks are unlikely to be connected below a certain radio range threshold ...

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We assume that the given loads are uncertain and can be subject to small random perturbations. Furthermore, we define a rigorous measure of robustness of the given...