The goal of this research is to develop a 3D topological structure to represent a 3D space partition with validation functionality and support for conversions from topological to geometrical primitives. Several 3D topological structures have been presented in the past, mainly by researchers. The technical (implementation) model developed in this paper is based on the conceptual model of the ISO...

Distributed computing is widely used by many researchers due to several advantages in terms of low cost with high efficiency. In the present paper, a step topological structure is explained and process model is designed through Markov chain. The energy is computed when information is transmitted from one node to another node. End to End delay is also computed in terms of the transmitted rate. T...

We have implemented an interactive tool to reconstruct time varying geometric representations from given Hyper Reeb Graph (HRG) structures reflecting the topological behavior of the underlying data. Objects possessing the topology of a specified Reeb Graph structure are generated from a set of modules. Modifications of a RG over time induce topological changes concerning the structure of the ge...

The ability to reroute and control flow is vital the function of venation networks across a wide range organisms. By modifying individual edges in these networks, either by adjusting edge conductances or creating destroying edges, organisms robustly propagation inputs perform specific tasks. However, fundamental disconnect exists between structure function: with different local architectures ca...

In this paper, we have dened and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are dened by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological vector space is generalized homogeneous space. Every open subspace of an s-topological vector space is...