• Title of article

    Nowhere-zero 4-flow in almost Petersen-minor free graphs

  • Author/Authors

    Wang، نويسنده , , Xiaofeng and Zhang، نويسنده , , Cun-Quan and Zhang، نويسنده , , Taoye، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    8
  • From page
    1025
  • To page
    1032
  • Abstract
    Tutte [W.T. Tutte, On the algebraic theory of graph colorings, J. Combin. Theory 1 (1966) 15–20] conjectured that every bridgeless Petersen-minor free graph admits a nowhere-zero 4-flow. Let ( P 10 ) μ ̄ be the graph obtained from the Petersen graph by contracting μ edges from a perfect matching. In this paper we prove that every bridgeless ( P 10 ) 3 ̄ -minor free graph admits a nowhere-zero 4-flow.
  • Keywords
    4-flow , Almost Petersen-minor free graphs , Petersen minor , Integer flow , Edge-3-coloring
  • Journal title
    Discrete Mathematics
  • Serial Year
    2009
  • Journal title
    Discrete Mathematics
  • Record number

    1598571