initiation and propagation. In this paper, we are concerned with the geometric and topological aspect of simulating cutting and fracture, and to that respect, they are analogous operations. However, stability of the simulation strongly depends on the quality of the mesh, which tends to be preserved

To date, realistic ISP topologies have not been accessible to the research community, leaving work that depends on topology on an uncertain footing. In this paper, we present new Internet mapping techniques that have enabled us to directly measure router-level ISP topologies. Our techniques reduce

- maximum power used. We present two centralized algorithms for use in static networks, and prove their optimality. For mobile networks, we present two distributed heuristics that adaptively adjust node transmit powers in response to topological changes and attempt to maintain a connected topology using

The result that, for a scalar quantum field propagating on a “trousers” topology in 1 + 1 dimensions, the crotch singularity is a source for an infinite burst of energy has been used to argue against the occurrence of topology change in quantum gravity. We draw attention to a conjecture due

are reproduced by these examples. The key feature of the models is the role of topology change. It is the breakdown of causal structure associated with topology change that leads to the apparently non-classical behaviour. For geons, topology change is required to describe the interaction of particles

A particular approach to topology change in quantum gravity is reviewed, showing that several aspects of Stephen’s work are intertwined with it in an essential way. Speculations are made on possible implications for the causal set approach to quantum gravity.

An important question in neuroevolution is how to gain an advantage from evolving neural network topologies along with weights. We present a method, NeuroEvolution of Augmenting Topologies (NEAT), which outperforms the best fixed-topology method on a challenging benchmark reinforcement learning

Abstract. The topological structure of the event horizon has been considered in terms of the Morse theory. The elementary process of topology changes can be understood as a handle attachment. It has been found that there are certain constraints on the black hole topology changes: (i) There are n

We consider Narain T-duality on a nontrivially fibered n-torus bundle in the presence of a topologically nontrivial NS H flux. The action of the duality group on the topology and H flux of the corresponding type II and heterotic string backgrounds is determined. The topology change is specialized

We analyse the topological changes occuring in the apparent contour of a collection of disjoint convex sets from a moving viewpoint, and relate them to the classical visual event surfaces, swept by tritangent rays and limiting bitangent rays. Specifically, we show that all topological changes occur