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关于皇冠Q_n调和的相关性质 被引量:3

On the Interrelated Properties of Harmoniousness for the Crown Q_n
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摘要 研究了皇冠Qn的调和性,给出了一个相关结果,即证实了从皇冠Qn中去掉一条悬挂边而得到的缺叶皇冠-Qn的调和性. The harmoniousness of the crown Qn has been studied in this paper.An interrelated result that the graph Q^-n which is called the crown of lacking leaf coming from the crown Qn by deleting a pendant edge has the harmoniousness will be given..
出处 《大学数学》 2010年第6期71-75,共5页 College Mathematics
基金 内蒙古自然科学基金资助项目(200508010110) 内蒙古民族大学科研基金(M01-2005)
关键词 皇冠 缺叶皇冠 调和标号 调和图 crown crown of lacking leaf harmonic labeling harmonic graph
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参考文献5

  • 1Graham R L,Sloane N J A.On additive bases and harmonious graphs[J].SIAM J.Alg.Discrete Math,1980(1):382-404.
  • 2Grace T.On the sequential labelings of graphs[J].Journal of Graph Theory,1983,7:195-201.
  • 3Liu B,Zhang X.On a conjecture of harmonious graph[J].Systems Science and Mathematical Science 1989,2(4):325-328.
  • 4Singh G S.A Note on labeling of graphs[J].Graph and Combinations,1998,14:201-207.
  • 5Gallian J A.A survey:recent results,conjectures,and open problem in labeling graphs[J].Journal of Graph theory,1989,13(4);491-504.

同被引文献14

  • 1邓毅雄,周尚超,曾伟,王森.Queens-图的构造[J].华东交通大学学报,2004,21(4):119-121. 被引量:1
  • 2HARARY F. Graph theory [ M ]. NewYork: Addison Wesley, Publishing Company, 1969: 1-274.
  • 3BONDY J A, MURTY U S R. Graph theory with application [ M ]. NewYork: Elsevier Science Publishing Company, 1976: 1-65.
  • 4BEINEKE L W, BROERE I, HENNING M A. Queens graphs [ J ]. Discrete Mathematic s, 1999,206 ( 1-3 ) : 63 -75.
  • 5GALLIAN J A. A survey: recent results, conjectures, and open problems in labeling graphs [ J ]. Graph Theory, 1989, 13 (4) : 491-504.
  • 6Liu bo lian,Zhang xian kun.On a conjecture of harmonious graph[J].Systems Science and Mathematical Science, 1989,2(4):325-328.
  • 7GRAHAM R L, SLOANE N J A. On additive bases and harmonious graphs[ J]. SIAM Journal on Algebraic Discrete Methods, 1980,1 (4) : 382 -404.
  • 8GRACE T. On sequential labelings of graphs[ J]. Journal of Graph Theory, 1983, 7 (2) : 195 -201.
  • 9GALLIAN J A. A survey: recent results, conjectures, and open problem in labeling graphs[ J ]. Journal of Graph Theory, 1989, 13 (4) : 491 - 504.
  • 10SINGH G S. A note on labeling of graphs[J]. Graphs and Combinatorics, 1998, 14(2) : 201 -207.

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