# American Institute of Mathematical Sciences

February  2018, 1(1): 1-10. doi: 10.3934/mfc.2018001

## Network(graph) data research in the coordinate system

 1 College of Information Science and Technology, Beijing Normal University, Beijing 100875, China 2 School of Computer Science, Anhui University of Technology, Maanshan 243002, China

* Corresponding author: linzhi

Received  October 2017 Revised  December 2017 Published  February 2018

Many approaches have been proposed to perform the analysis of network(graph) data correlated with Internet, social networks, communication networks, knowledge graph etc, but few of them have been applied in the coordinate system which is thought to be an efficient platform to processing graph data. In this survey, we provide a short yet structured analysis of network(graph) data research in the coordinate system. We first introduce the coordinate embedding and transforming of double-loop network with its symmetrical and regular structure. We then present two categories of approaches for Internet embedding in the coordinate system and the technology of graph embedding of social network. Finally, we draw our conclusions and discuss potential applications and future research direction.

Citation: Liu Hui, Lin Zhi, Waqas Ahmad. Network(graph) data research in the coordinate system. Mathematical Foundations of Computing, 2018, 1 (1) : 1-10. doi: 10.3934/mfc.2018001
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##### References:
Directed DLN G(8; 2, 3)
embedding graph of G(8;2, 3)
Coordinates transforming of node u in G(N; r, s)
MDD of G(39;$\pm$1, $\pm$17) & G(39;1, 17)
Coordinates embedding and transforming of nodes on axes & G(39; 1, 17)
Geometric space model of the Internet
triangle inequality violations (TIV)
Mapping graph nodes into Euclidean coordinate system
Architecture of a coordinate-based distance oracle
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