Graph decomposition of graphs with seven vertices and seven edges

  • YUAN Landang ,
  • YANG Libao ,
  • GU Liyan ,
  • BAI Zhanli
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  • 1.Hebei Mathematics Research Center, School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China; 2.School of Mathematics and Information Technology, Xingtai University, Xingtai 054001, China; 3.Editorial Department of Journal, Hebei Normal University, Shijiazhuang 050024, China

Received date: 2021-01-05

  Online published: 2021-09-03

Abstract

G-decomposition of λKv into graphs with seven vertices and seven edges were discussed. First, we gave a recursive structure by holy graph decomposition, and then constructed the graph decompositions wanted in recursive structure using difference method. Finally, we determined the existence spectrum of graph decomposition.

Cite this article

YUAN Landang , YANG Libao , GU Liyan , BAI Zhanli . Graph decomposition of graphs with seven vertices and seven edges[J]. Journal of Hebei University(Natural Science Edition), 2021 , 41(4) : 337 -341 . DOI: 10.3969/j.issn.1000-1565.2021.04.001

References

[1] ALSPACHB, GAVLASH. Cycle decompositions of K_n and K{n}-I[J].J Combin Theory Ser B, 2001, 81(1):77-99.DOI:10.1006/jctb.2000.1996.
[2] BOSAK J. Decompositions of graphs[M]. Boston: Kluwer Academic Publishers, 1990.
[3] 刘淑霞.一个二部图的图分解[J].河北师范大学学报(自然科学版),2004,28(6):552-555.
[4] SAJNA M. Cycle decompositions Ⅲ: Complete graphs and fixed length cycles[J]. J Combin Des,2002, 10(1): 27-78.DOI:10.1002/jcd.1027.
[5] YUAN L D, KANG Q D.Graph designs for eight graphs with six vertices and eight edges(index >1)[J].Ars Combin, 2008, 87: 403-413.
[6] YUAN L D, KANG Q D. Decomposition of λK_v into five graphs with six vertices and eight edges[J].Acta Math Appl Sin Engl Ser, 2012,28(4): 823-832.DOI:10.1007/S10255-012-0191-1.
[7] COLBOURN C, DINITZ J. Handbook of combinatorial designs[M]. Boca Raton:CRC Press, 2006. (
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