Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Connectivity and routes in large geometric network hypergraphs
View through CrossRef
Random geometric hypergraphs are considered as mathematical models of large wireless computer networks. The dependences of the mathematical expectation of the number of hyper-edges in random geometric hypergraphs on the radii of reliable reception / transmission of radio signals by network nodes, as well as on the number of vertices in the hyper- graph are studied. The concepts of the shortest route in a geometric hypergraph are discussed. Calculations of the probabil- ity of connectivity of large random geometric hypergraphs, the mathematical expectation of the diameter of hypergraphs and its change with a change in the radii of the nodes are carried out. The presentation of the results is accompanied by graphs.
Informatization and Communication Journal Editorial Board
Title: Connectivity and routes in large geometric network hypergraphs
Description:
Random geometric hypergraphs are considered as mathematical models of large wireless computer networks.
The dependences of the mathematical expectation of the number of hyper-edges in random geometric hypergraphs on the radii of reliable reception / transmission of radio signals by network nodes, as well as on the number of vertices in the hyper- graph are studied.
The concepts of the shortest route in a geometric hypergraph are discussed.
Calculations of the probabil- ity of connectivity of large random geometric hypergraphs, the mathematical expectation of the diameter of hypergraphs and its change with a change in the radii of the nodes are carried out.
The presentation of the results is accompanied by graphs.
Related Results
Dynamic hypergraphs of renewal processes in mobile networks.
Dynamic hypergraphs of renewal processes in mobile networks.
The characteristics of random geometric hypergraphs are studied as mathematical models of scalable wireless computer networks. An efficient algorithm for finding cliques in geometr...
Hypergraph partitioning using tensor eigenvalue decomposition
Hypergraph partitioning using tensor eigenvalue decomposition
Hypergraphs have gained increasing attention in the machine learning community lately due to their superiority over graphs in capturingsuper-dyadicinteractions among entities. In t...
Integrating individual-based modelling and multilayer networks to advance landscape connectivity analyses
Integrating individual-based modelling and multilayer networks to advance landscape connectivity analyses
Connected landscapes are fundamental for species persistence under global change, as recognised by the International Convention on Biological Diversity. Connectivity enables specie...
Refining intra-patch connectivity measures in landscape fragmentation and connectivity indices
Refining intra-patch connectivity measures in landscape fragmentation and connectivity indices
Abstract
Context. Measuring intra-patch connectivity, i.e. the connectivity within a habitat patch, is important to evaluate landscape fragmentation and connectivity. Howev...
Corticocortical and Corticomuscular Connectivity Dynamics in Standing Posture: Electroencephalography Study
Corticocortical and Corticomuscular Connectivity Dynamics in Standing Posture: Electroencephalography Study
AbstractCortical involvements, including those in the sensorimotor, frontal, and occipitoparietal regions, are important mechanisms of neural control in human standing. Previous re...
Research progresses and trends of hydrological connectivity based on bibliometrics
Research progresses and trends of hydrological connectivity based on bibliometrics
<p>Water is the main factor restricting and maintaining biological activities, and hydrological connectivity is closely related to many ecological processes. As a pro...
GLOBAL CONNECTIVTY REPORT 2022. CHAPTER 2. THE JOURNEY TO UNIVERSAL AND MEANINGFUL CONNECTIVITY
GLOBAL CONNECTIVTY REPORT 2022. CHAPTER 2. THE JOURNEY TO UNIVERSAL AND MEANINGFUL CONNECTIVITY
The Global Connectivity Report 2022 takes stock of the progress in digital connectivity over the past three decades. It provides a detailed assessment of the current state of conne...
Hippocampal and caudate network specificity is altered in older adults
Hippocampal and caudate network specificity is altered in older adults
AbstractThe hippocampal and the caudate networks, defined by their intrinsic resting state functional connectivity (FC), exhibit strong network specificity. This is reflected as st...