this paper introduces a new approach to topology, based on category theory and universal algebra, and called categorically-algebraic (catalg) topology. it incorporates the most important settings of lattice-valued topology, including poslat topology of s.~e.~rodabaugh, $(l,m)$-fuzzy topology of t.~kubiak and a.~v{s}ostak, and $m$-fuzzy topology on $l$-fuzzy sets of c.~guido. moreover, its respe...

The growing rate of energy consumption is a reason for establishment of new power plants which leads to increment in fault current level. One of the solutions to overcome this problem is utilization of fault current limiters (FCLs). Another concerning issue in energy generation is the satisfactory voltage quality in grid and to deal with it, a power electronic based device, known as dynamics vo...

Clustering is a crucial network design approach to enable large-scale wireless sensor networks (WSNs) deployments. A large variety of clustering approaches has been presented focusing on various aspect such as minimizing communication overhead, controlling the network topology etc. Simulations on such protocols are performed using theoretical models that are based on unrealistic assumptions lik...

In the WSNs, the nodes closer to the sink node have heavier traffic load for packet forwarding because they do not only collect data within their sensing range but also relay data for nodes further away. The unbalanced power consumption among sensor nodes may cause network partition. This paper proposes efficient node placement, topology control, and MAC scheduling protocols to prolong the sens...

This paper studies asymmetric power assignments for various network topologies under the kresilience criterion in static and dynamic geometric settings. We aim to minimize the total energy consumption, which is usually NP-hard for a desired link topology. We develop a general approximation framework for various topology control problems under the k-fault resilience criterion in the plane. We us...

Energy efficiency and network capacity are two of the most important issues in wireless sensor networks. Topology-control algorithms have been proposed to maintain network connectivity while reducing energy consumption and improving network capacity. Several studies have also been performed to investigate critical conditions on several network parameters in order to ensure network k-connectivit...

Three-dimensional (3D) wireless sensor networks have attracted a lot of attention due to their great potential usages in both commercial and civilian applications, such as environmental data collection, pollution monitoring, space exploration, disaster prevention, and tactical surveillance. Topology control in 3D sensor networks has been studied recently, and different 3D geometric topologies w...

In terms of the characteristics of itself node number, density and topology dynamic change in wireless sensor network, according to the wireless transmission energy consumption model REDM, Load-balanced Hierarchical Topology Control Algorithm based on LEACH algorithm is designed. The algorithm still uses the concept of ”round”. Substitute cluster head and load evaluation method are introduced i...

In this work, we propose a low-power consumption hierarchical topology control algorithm for wireless sensor network, which is called LDH. As a control topology algorithm with multi-levels, it contains two phases: network establishment and network maintenance. The phase of network establishment contains three missions: electing of cluster head, identifying cluster head and nodes, as well as opt...

This paper investigates reliability analysis of wireless sensor networks whose topology is switching among possible connections which are governed by a Markovian chain. We give the quantized relations between network topology, data acquisition rate, nodes’ calculation ability, and network reliability. By applying Lyapunov method, sufficient conditions of network reliability are proposed for suc...