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Edge-balance index sets of the power-cycle nested graph C_n^2 x P_2n(n ≡ 1(mod2))

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In this paper, mainly using the methods and techniques of graph theory and combinatorial mathematics to research on the largest edge-balance index of the graph C_n^2 x P_2n(n ≡ 1(mod2)) , the edge-balance index sets of the graph are discussed, and nally getting the constructive proof about all the edge-balance index sets of C_n^2 x P_2n(n ≡ 1(mod2)) .

Abstract

In this paper, mainly using the methods and techniques of graph theory and combinatorial mathematics to research on the largest edge-balance index of the graph C_n^2 x P_2n(n ≡ 1(mod2)) , the edge-balance index sets of the graph are discussed, and nally getting the constructive proof about all the edge-balance index sets of C_n^2 x P_2n(n ≡ 1(mod2)) .

참고문헌 (8)

  1. Zheng Yuge, "On the Perfect Index Set of the Chain-sum Graphs of the First Kind of K4-e", 2009 2nd International Conference on Intelligent Computing Technology and Autination, pp.586~ (2009)
  2. Zheng Yuge, "On the Edge-Balance Index Sets of Cn P2", 2010 Interna- tional Conference on Net-working and Digital Society, pp.360~ (2010)
  3. Ebrahim Salehi, "Friendly Index Sets of Trees", Congressus Numer- antium, 178, pp.173~ (2006)
  4. Alexander Nien, "On the Balance Index Set of Graphs", Journal of Combinatorial Mathematics and Combinatorial Computing, 66, pp.133~ (2008)
  5. Man Kong, "On Edge-Balanced Graghs, Graph Theory", Combinatoric and Algorithms, 1, pp.711~ (1995)
  6. Suh-Ryung Kim, "On Balancedness of Some Graph Constructions", Journal of Combinational Mathematics and Combinatorial Computing, 66, pp.3~ (2008)
  7. B.L.Chen, "On Edge-Balanced", Journal of Combinatorial Mathematics and Combinatorial Computing, 42, pp.177~ (2002)
  8. Yuge Zheng, "On the Edge-Balance Index Sets of the Net Graph Cn2 P2n(n  0(mod2))", Advanced Material Research, 3, pp.2556~ (2011)

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