Neighbor Relationship and Optimization in Mesh Overlay Multicast

2008 ◽  
Author(s):  
Bo Wen ◽  
Feng Liu ◽  
Zhen Liu ◽  
Fei Ma
Keyword(s):  
Overlay Multicast ◽  
Neighbor Relationship

Overlay multicast routing algorithm with minimum overlay cost

2009 ◽  
Vol 28 (10) ◽  
pp. 2569-2572
Author(s):  
Long-xin LIN ◽  
Jie ZHOU ◽  
Ling ZHANG ◽  
Zhao YE
Keyword(s):  
Multicast Routing ◽  
Routing Algorithm ◽  
Overlay Multicast ◽  
Multicast Routing Algorithm

Overlay Multicast Protocol for Delivering Layered Data Structure

2007 ◽  
Author(s):  
Kohei Ogura ◽  
Hideaki Imaizumi ◽  
Masaki Minami ◽  
Osamu Nakamura ◽  
Jun Murai
Keyword(s):  
Data Structure ◽  
Overlay Multicast ◽  
Multicast Protocol

Overlay multicast tree recovery scheme using a proactive approach

2008 ◽  
Vol 31 (14) ◽  
pp. 3163-3168 ◽  
Author(s):  
Jin-Han Jeon ◽  
Seung-chul Son ◽  
Ji-Seung Nam
Keyword(s):  
Multicast Tree ◽  
Overlay Multicast ◽  
Proactive Approach ◽  
Recovery Scheme

scholarly journals The geometric formulas of the Lewis’s law and Aboav-Weaire’s law in two dimensions based on ellipse packing

2019 ◽  
Author(s):  
Kai Xu
Keyword(s):  
Two Dimensions ◽  
Empirical Formulas ◽  
Von Neumann ◽  
Upper Limit ◽  
Edge Distribution ◽  
Cell Topology ◽  
Neighbor Relationship ◽  
New Formula ◽  
Geometric Formula ◽  
Ellipse Packing

The two-dimensional (2D) Lewis’s law and Aboav-Weaire’s law are two simple formulas derived from empirical observations. Numerous attempts have been made to improve the empirical formulas. In this study, we simulated a series of Voronoi diagrams by randomly disordered the seed locations of a regular hexagonal 2D Voronoi diagram, and analyzed the cell topology based on ellipse packing. Then, we derived and verified the improved formulas for Lewis’s law and Aboav-Weaire’s law. Specifically, we found that the upper limit of the second moment of edge number is 3. In addition, we derived the geometric formula of the von Neumann-Mullins’s law based on the new formula of the Aboav-Weaire’s law. Our results suggested that the cell area, local neighbor relationship, and cell growth rate are closely linked to each other, and mainly shaped by the effect of deformation from circle to ellipse and less influenced by the global edge distribution.

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