Uniformly discrete hit-and-miss hypertopology. A missing link in hypertopologies
Recently it was shown that the lower Hausdorff metric (uniform) topology is generated by families of uniformly discrete sets as hit sets. This result leads to a new hypertopology which is the join of the above topology and the upper Vietoris topology ...
Giuseppe Di Maio +2 more
doaj +1 more source
The Reformulated F-Index of Vertex and Edge F-Join of Graphs
The valency based topological indices (TIs) are defined by algebraic functions as the chemical graph theory tools in which the structural parameters are used as input and the output is related with the topology of chemical species.
Durbar Maji +2 more
doaj +1 more source
Topological minimal self-joinings [PDF]
AbstractThere is an interesting duality between some of the concepts of ergodic theory and those of topological dynamics. This paper is a first attempt at developing a topological analogue to the measure-theoretic notion of a transformation having minimal self-joinings.
openaire +2 more sources
Topology of desiccation crack patterns in clay and invariance of crack interface area with thickness [PDF]
We study the crack patterns developed on desiccating films of suspensions of three different clays—bentonite, halloysite nanoclay and laponite on a glass substrate. Varying the thickness of the layer, h gives the following new and interesting results: i)
T. Khatun, T. Dutta, S. Tarafdar
semanticscholar +1 more source
Online Expansion Technology for Dynamic Topology Changing ZigBee Wireless Sensor Networks
In ZigBee, the router capable devices have restriction to accept a number of devices as children devices. A router capable device can not allow any new device to join as a child device if it reaches to the maximum capacity of children or depth limit ...
Md. Emdadul Haque +2 more
doaj +1 more source
The subject of hyperspace topologies on closed or closed and compact subsets of a topological space X began in the early part of the last century with the discoveries of Hausdorff metric and Vietoris hit-and-miss topology.
Giuseppe Di Maio +2 more
doaj +1 more source
Autonomous Distributed Self-Organization for Mobile Wireless Sensor Networks
This paper presents an adaptive combined-metrics-based clustering scheme for mobile wireless sensor networks, which manages the mobile sensors by utilizing the hierarchical network structure and allocates network resources efficiently.
Chih-Yu Wen, Hung-Kai Tang
doaj +1 more source
Topology and geometry of the canonical action of $T^4$ on the complex Grassmannian $G_{4,2}$ and the complex projective space $CP^{5}$ [PDF]
We consider the canonical action of the compact torus $T^4$ on the Grassmann manifold $G_{4,2}$ and prove that the orbit space $G_{4,2}/T^4$ is homeomorphic to the sphere $S^5$.
V. Buchstaber, S. Terzić
semanticscholar +1 more source
A topological join construction and the Toda system on compact surfaces of arbitrary genus [PDF]
We consider a Toda system of Liouville equations defined on a compact surface which arises as a model for non-abelian Chern-Simons vortices. For the first time the range of parameters $ _1 \in (4k , 4(k+1) )$, $k \in \mathbb{N}$, $ _2 \in (4 , 8 )$ is studied with a variational approach on surfaces with arbitrary genus.
Aleks, Jevnikar +2 more
openaire +5 more sources
An Energy-Efficient Self-Organization Routing Strategy in Tree Networks
This paper proposes a new self-organization and topology dynamic adjustment strategy. Network nodes broadcast packets to select child nodes and non-network nodes collect packets to join in network.
Lin Feng, Yu Zhou, Tie Qiu
doaj +1 more source

