Add to ORKGAbstract—In this paper, we introduce an algorithm which constructs the generalized Čech complex. The generalized Čech complex represents the topology of a wireless network whose cells are different in size. This complex is often used in many application to locate the boundary holes or to save energy con-sumption in wireless networks. The complexity of a construction of the Čech complex to analyze the coverage structure is found to be a polynomial time. I
Abstract—We propose a radically new family of geometric graphs, i.e., Hypocomb, Reduced Hypocomb and...
The Voronoi diagram is a fundamental structure in computational geometry and arises naturally in man...
Abstract—Stochastic models for hierarchical telecommunica-tion networks are considered, which can be...
International audienceIn this paper, we introduce a centralized algorithm which constructs the gener...
La représentation par complexes simpliciaux fournit une description mathématique de la topologie d’u...
Simplicial homology is a useful tool to access important information about the topology of wireless ...
Simplicial complex representation gives a mathematical description of the topology of a wireless sen...
Abstract—Simplicial homology is a tool that provides a math-ematical way to compute the connectivity...
Homology theory provides new and powerful solutions to address the coverage hole problem in wireless...
La théorie de l'homologie fournit des solutions nouvelles et efficaces pour régler le problème de tr...
Contents 1 Introduction 3 2 Preliminaries 7 2.1 Power-Attenuation Model . . . . . . . . . . . . . ....
Abstract—Homology theory provides new and powerful so-lutions to address the coverage problems in wi...
Cell complexes are topological spaces constructed from simple blocks called cells. They generalize g...
In this paper we generalize work using topological methods for testing wireless/sensor network cover...
The Voronoi diagram is a fundamental structure in computational geometry and arises naturally in man...
Abstract—We propose a radically new family of geometric graphs, i.e., Hypocomb, Reduced Hypocomb and...
The Voronoi diagram is a fundamental structure in computational geometry and arises naturally in man...
Abstract—Stochastic models for hierarchical telecommunica-tion networks are considered, which can be...
International audienceIn this paper, we introduce a centralized algorithm which constructs the gener...
La représentation par complexes simpliciaux fournit une description mathématique de la topologie d’u...
Simplicial homology is a useful tool to access important information about the topology of wireless ...
Simplicial complex representation gives a mathematical description of the topology of a wireless sen...
Abstract—Simplicial homology is a tool that provides a math-ematical way to compute the connectivity...
Homology theory provides new and powerful solutions to address the coverage hole problem in wireless...
La théorie de l'homologie fournit des solutions nouvelles et efficaces pour régler le problème de tr...
Contents 1 Introduction 3 2 Preliminaries 7 2.1 Power-Attenuation Model . . . . . . . . . . . . . ....
Abstract—Homology theory provides new and powerful so-lutions to address the coverage problems in wi...
Cell complexes are topological spaces constructed from simple blocks called cells. They generalize g...
In this paper we generalize work using topological methods for testing wireless/sensor network cover...
The Voronoi diagram is a fundamental structure in computational geometry and arises naturally in man...
Abstract—We propose a radically new family of geometric graphs, i.e., Hypocomb, Reduced Hypocomb and...
The Voronoi diagram is a fundamental structure in computational geometry and arises naturally in man...
Abstract—Stochastic models for hierarchical telecommunica-tion networks are considered, which can be...