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Found 2 definitions 

  1.                 From Japanese-English FreeDict Dictionary ver. 0.1:
                

    
                
                  
     [news1]  [nf18]  葛藤,  [news1]  [nf18] かっとう
(noun (common) (futsuumeishi))
 (noun or participle which takes the aux. verb suru)
conflict, complication, troubles, discord

    
                
              
  2.                 From Japanese-English FreeDict Dictionary ver. 0.1:
                

    
                
                  
    葛藤, 防已, つづらふじ,  () ツヅラフジ
1. (noun (common) (futsuumeishi))
    

             Note: word usually written using kana aloneChinese moonseed (Sinomenium acutum)
2. complex inter-relationship (as in the struggle between two types of vine over one piece of land)