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全边增长网络模型的生成树 被引量:4

Spanning trees of totally edge-growing network models
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摘要 定义了全边增长网络模型,给出寻找全边增长网络模型的具有最多叶子生成树的2个算法,分析了全边增长网络模型的小世界性,并验证具有最多叶子生成树的无标度性,以及最多叶子生成树在平衡集和最小控制集中的应用。 Totally edge-growing network models are defined. Two algorithms for finding Maximum Leaf Spanning trees (MLS-trees) of the totally edge-growing models is shown. The small world property of MLS-trees is analysised, and the scale-free with MLS-trees is verified. An application of MLS-trees to determine balanced sets and smallest dominating sets of totally edge-growing network models is given.
出处 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2016年第1期48-53,共6页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金资助项目(61163054 61363060)
关键词 无标度网络 生成树 网络模型 scale-free network spanning tree network models
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参考文献11

  • 1BARABASI A L, ALBERT R. Emergence of scale-free networks [J]. Science, 1999,286: 509 -512. 被引量:1
  • 2MACDONALD P J, ALMAAS E, BARABASI A L. Minimum spanning trees of weighted scale-free networks [J] . Europhys Lett, 2005, 72 (2): 308 -314. 被引量:1
  • 3KATONA Z. Levels of a scale-free tree [J]. Random Structures and Algorithms, 2006, 29 (2): 194 - 207. 被引量:1
  • 4KIM D H, NOH J D, JEONG H. Scale-free trees: The skeletons of complex networks [J]. Physical Review E, 2004, 70( 4) : 046126. 被引量:1
  • 5ZHANG Z Z, WU B, COMELLAS F. The number of spanning trees in Apollonian networks [J]. Discrete applied mathematics, 2014, 169: 206 -213. 被引量:1
  • 6COMELLAS F, FERTIN G, RASPAUD A. Recursive graphs with small-world scale-free properties [J]. Physical Review E, 2004, 69: 037104. 被引量:1
  • 7ZHANG Z Z, ZHOU S G, FANG L J, et al. Maximal planar scale-free Sierpinski networks with small-world effect and power-law strength-degree correlation[J], Europhysics Letters, 2007, 79: 38007. 被引量:1
  • 8YAO B, YAO M, CHEN X E, et al. Research on edgegrowing models related with scale-free small-world networks [J]. Applied Mechanics and Materials, 2014: 2444 -2448. 被引量:1
  • 9BONDY J A, MURTY U S R. Graph theory [M]. London and Basingstoke, New York: The MaCmillan Press Ltd, 2008. 被引量:1
  • 10BARABASI A L, BONABEAU E. Scale-free networks [J]. Scientific American, 2003, 288: 60 - 69. 被引量:1

二级参考文献12

  • 1RADIA PERLMAN. Hierarchical networks and the sub- network partition problem [ J ]. Computer Networks and ISDN Systems, 1985, 9 : 297 - 303. 被引量:1
  • 2YAO B, ZHOU X Q, ZHANG J J, et al. Labellings and invariants of models from complex networks [ C ]// Pro- ceeding of 2012 International Conference on Systems and Informatics, 2012 : 1616 - 1620. 被引量:1
  • 3YAO B, CHEN X E, ZHOU X Q, et al. Graphs related with scale-free networks [ C ]//Proceeding of The 2n In- ternational Conference on Electronics, Communications and Control, 2012- 284 - 287. 被引量:1
  • 4YAO B, CHEN X E, YANG C, et al. Spanning trees and dominating sets in scale-free networks [ C ]// Pro- ceeding of 2012 IET International Conference on Informa- tion Science and Control Engineering, 2012:111 -115. 被引量:1
  • 5FERNAU H, KNEIS J, KRATSCH D, et al. An exact algorithm for the maximum leaf spanning tree problem [ J]. Theoretical Computer Science, 2011, 412 (45) : 6290 - 6302. 被引量:1
  • 6GAREY M R, JOHNSON D S. Computers and intracta- bility: a guide to the theory of NP-completeness [ M ]. New York : W H Freeman and Company, 1979. 被引量:1
  • 7BARABSI A L, BONABEAU E. Scale-free networks [ J]. Scientific American, 2003, 288: 60- 69. 被引量:1
  • 8Bing Yao,Zhong-fu Zhang,Jian-fang Wang.Some Results on Spanning Trees[J].Acta Mathematicae Applicatae Sinica,2010,26(4):607-616. 被引量:8
  • 9范淑艳,韩卫占,霍永华.MPLS网络的综合接纳控制算法[J].中山大学学报(自然科学版),2011,50(2):54-57. 被引量:2
  • 10刁玉平,廖铭,刁永平.互联网架构关键资源可扩展研究[J].中山大学学报(自然科学版),2011,50(6):53-57. 被引量:2

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