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	Some properties for the largest component of random geometric graphs with applications in sensor networks
	Chen, Ge; Guo, Tian-de; Yao, Chang-long
刊名	Acta mathematicae applicatae sinica-english series
	2009-10-01
卷号	25期号:4页码:579-592
关键词	Random geometric graph The largest component Wireless sensor networks Topology control
ISSN号	0168-9673
DOI	10.1007/s10255-008-8809-z
通讯作者	Guo, tian-de(tdguo@gucas.ac.cn)
英文摘要	In this paper we consider the standard poisson boolean model of random geometric graphs g(h(lambda,s); 1) in r(d) and study the properties of the order of the largest component l(1)(g(h(lambda,s); 1)). we prove that e[l(1)(g(h(lambda,s); 1))] is smooth with respect to., and is derivable with respect to s. also, we give the expression of these derivatives. these studies provide some new methods for the theory of the largest component of finite random geometric graphs ( not asymptotic graphs as s -> infinity) in the high dimensional space (d >= 2). moreover, we investigate the convergence rate of e[l(1)(g(h(lambda,s); 1))]. these results have significance for theory development of random geometric graphs and its practical application. using our theories, we construct and solve a new optimal energy-efficient topology control model of wireless sensor networks, which has the significance of theoretical foundation and guidance for the design of network layout.
WOS关键词	AD-HOC NETWORKS ; CONNECTIVITY
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000269945800003
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2394058
专题	中国科学院大学
通讯作者	Guo, Tian-de
作者单位	Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Chen, Ge,Guo, Tian-de,Yao, Chang-long. Some properties for the largest component of random geometric graphs with applications in sensor networks[J]. Acta mathematicae applicatae sinica-english series,2009,25(4):579-592.
APA	Chen, Ge,Guo, Tian-de,&Yao, Chang-long.(2009).Some properties for the largest component of random geometric graphs with applications in sensor networks.Acta mathematicae applicatae sinica-english series,25(4),579-592.
MLA	Chen, Ge,et al."Some properties for the largest component of random geometric graphs with applications in sensor networks".Acta mathematicae applicatae sinica-english series 25.4(2009):579-592.

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