A characterization of the graphs with high degree sum that are not covered by three cycles

نویسندگان

  • Shuya Chiba
  • Masao Tsugaki
چکیده

Let G be a graph of order n. In [10], Saito characterized the graphs with σ3(G) ≥ n− 1 that are not covered by two cycles. In this paper, we characterize the graphs with σ4(G) ≥ n − 1 that are not covered by three cycles. Moreover, to prove our main theorem, we show several new results which are useful in the study of this area.

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عنوان ژورنال:
  • Ars Comb.

دوره 128  شماره 

صفحات  -

تاریخ انتشار 2016