Disjoint Cycles and Chorded Cycles in Graphs

نویسندگان

  • Yunshu Gao
  • Guojun Li
  • Jonathan Z. Sun
  • Jin Yan
چکیده

Very recently, Bialostocki et al. proposed the following conjecture. Let r, s be two nonnegative integers and let G = (V (G), E(G)) be a graph with |V (G)| ≥ 3r + 4s and minimum degree δ(G) ≥ 2r + 3s. Then G contains a collection of r cycles and s chorded cycles, all vertex-disjoint. We prove that this conjecture is true.

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تاریخ انتشار 2008