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双星图的IC-指数 被引量:5

The IC-index of Double-stars
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摘要 已经知道双星图至多有两种极大IC-着色,并且其中一种情况下的IC-指数已经确定.在此基础上,研究了双星图的的另一种极大IC-着色,得到了在这种情况下的IC-指数.从而得到了双星图的所有极大IC-着色,且双星图的IC-指数为:M(DS(m,n))=(2^(m-1)+1)(2^(n-1)+1),其中2≤m≤n. We known about the graph of double-stars contains two maximal IC-coloring at most, and one case of the IC-index have been determined. Based on this, this paper studied the another great IC-coloring of the graph of double-stars,and obtained in the circumstances of IC-index. So get the the graph of double-stars maximal IC-coloring, and the graph of double-stars IC-index as follow: M(DS(m,n)) = (2^m-1 + 1)(2^n-1 + 1), 2≤ m ≤ n.
出处 《数学的实践与认识》 CSCD 北大核心 2013年第7期132-140,共9页 Mathematics in Practice and Theory
基金 福建省教育厅重点项目(JA10018)
关键词 IC-着色 IC-指数 双星图 IC-coloring, IC-index, double-stars
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参考文献11

  • 1Alter R, Brnett J A. A postage stamp problem [J]. Amer. Math. Monthly., 1980, 87: 206-210.
  • 2Heimer R L, Langenbach H. The stamp problem [J]. J. Recreational. Math., 1974,7: 235-250.
  • 3Lunnon W F. A postage stamp problem [J]. Comput. J., 1969, 12: 377-380.
  • 4Penrice S G. Some new graph labeling problems:a preliminary report [C]. New York: Cortland 1995.
  • 5Salehi E, Lee S, Khatirinejad M. IC-Colorings and IC-Indices of graphs [J]. Discrete Mathematics, 2005, 299: 297-310.
  • 6徐保根.关于连通图的IC-着色[J].华东交通大学学报,2006,23(1):134-136. 被引量:9
  • 7Shiue Chin-Lin, Fu Hung-Lin. The IC-Indices of Complete Bipartite Graphs [J]. Electronic Journal of Combinatorics, 2008, 15: 43-49.
  • 8陈剑峰.笛卡尔积图P_m×P_n的IC-着色[J].莆田学院学报,2011,18(2):13-15. 被引量:7
  • 9陈剑峰.星的细分图的IC-着色[J].莆田学院学报,2012,19(2):11-13. 被引量:3
  • 10陈剑峰,杨大庆.双星图的IC-着色[J].纯粹数学与应用数学,2012,28(2):201-212. 被引量:6

二级参考文献49

  • 1徐保根.关于连通图的IC-着色[J].华东交通大学学报,2006,23(1):134-136. 被引量:9
  • 2Herrick D L, Lee P K. CHESS a new reliable high speed HF radio[C]//Proceedings of the 1996-15th Annual Military Communications Conference. Washington D C: IEEE, 1996 : 684-690.
  • 3Mills D G,Edelson G S,Egnor D E. A multiple access differential frequency hopping system [C]//Proceedings of MILCOM 2003 IEEE Military Communications Conference. Monterey: Institute of Electrical and Electronics Engineers Inc, 2003 : 1184-1189.
  • 4Chen Z, Li S, Dong B. Synchronous multi-user performance analysis of differential frequency hopping system over rayleigh-fading channels[C]//Proceedings of ITST 2006 6th International Conference on ITS Telecommunications. Chengdu: Institute of Electrical and Electronics Engineers Inc, 2007 : 590-595.
  • 5Mitola III J,Maguire Jr G Q. Cognitive radio: Making software radios more personal [J]. IEEE Personal Communications, 1999,6(4) : 13-18.
  • 6Mitola III J. Cognitive radio :An integrated agent architecture for software defined radio [D]. Royal: Royal Institute of Technology, 2000.
  • 7Haykin S. Cognitive radio: Brain-empowered wireless communieations[J]. IEEE Journal on Selected Areas in Communications ,2005,23(2) :201-220.
  • 8Seelig F W. A description of the August 2006 XG demonstrations at fort AP hill [C]//Proceedings of IEEE Dyspan 2007. Burlington: Institute of Electrical and Electronics Engineers Inc,2007:1-12.
  • 9Mchenry M, Livsics E, Nguyen T,et al. XG dynamic spectrum access field test results (topics in radio communications) [J]. IEEE Communications Magazine, 2007,45(6) : 51-57.
  • 10Yi S, Hou Y T. A distributed optimization algorithm for multi-hop cognitive radio networks[C]//Proceedings of I NFOCOM 2008:27th IEEE Communications Society Conference on Computer Communications. Phoenix:Institute of Electrical and Electronics Engineers Inc, 2008: 1966-1974.

共引文献8

同被引文献19

  • 1徐保根.关于连通图的IC-着色[J].华东交通大学学报,2006,23(1):134-136. 被引量:9
  • 2徐保根.图的控制理论[M].北京:科学出版社,2006:33-37.
  • 3SALEHI E, SIN MIN LEE, KHATIRINEJAD M S. IC-colorings and IC-indices of graphs [J]. Discrete Mathematics, 2005,299(8): 297-310.
  • 4ALTER R, BRNETY J A. A postage stamp problem [J]. The American Mathematical Monthly, 1980,87(3):206-210.
  • 5PENRICE S G. Some new graph labeling problems: A preliminary report [J]. DIMACS Technical Reports, 1995,95(7):1-9.
  • 6SHIUE C L, FU H L. The IC-indices of complete bipartite graphs[J]. The Electronic Journal of Combinatorics, 2008,15(3):1-13.
  • 7ALTER R, BERN31" J A. A postage stamp problem [J]. Amer Math Monthly,1980,87:206-210.
  • 8HEIMER R L, LANGNBACH H. The Stamp Problem [J]. J Recreational Math,1974,7:235-250.
  • 9LUNON W F. A Postage stamp problem [J]. Comput J,1969,12:377-380.
  • 10SALEHI E, LEE S, KHATIRINEjAD M. IC-colorings and IC-indices of graphs [J]. Discrete Mathematics, 2005, 299:297-310.

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