Kyungpook Mathematical Journal

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Edge-Maximal πœƒk+1-Edge Disjoint Free Graphs

  • Jaradat, Mohammed M.M. (Department of Mathematics, Statistics and Physics, Qatar University) ;
  • Bataineh, Mohammed S.A. (Department of Mathematics, Yarmouk University)
  • 투고 : 2010.09.25
  • 심사 : 2012.11.07
  • λ°œν–‰ : 2014.03.23
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초둝

For two positive integers r and s, $\mathcal{G}$(n; r; ${\theta}_s$) denotes to the class of graphs on n vertices containing no r of edge disjoint ${\theta}_s$-graphs and f(n; r; ${\theta}_s$) = max{${\varepsilon}(G)$ : G ${\in}$ $\mathcal{G}$(n; r; ${\theta}_s$)}. In this paper, for integers r, $k{\geq}2$, we determine f(n; r; ${\theta}_{2k+1}$) and characterize the edge maximal members in G(n; r; ${\theta}_{2k+1}$).

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