En hypergraf med nodmängden 
  
    
      
        X
        =
        {
        
          v
          
            1
          
        
        ,
        
          v
          
            2
          
        
        ,
        
          v
          
            3
          
        
        ,
        
          v
          
            4
          
        
        ,
        
          v
          
            5
          
        
        ,
        
          v
          
            6
          
        
        ,
        
          v
          
            7
          
        
        }
      
    
    {\displaystyle X=\{v_{1},v_{2},v_{3},v_{4},v_{5},v_{6},v_{7}\}}
  
, och bågmängden 
  
    
      
        
          
            
              
                E
                =
                 
              
              
                
                {
                
                  e
                  
                    1
                  
                
                ,
                
                  e
                  
                    2
                  
                
                ,
                
                  e
                  
                    3
                  
                
                ,
                
                  e
                  
                    4
                  
                
                }
              
            
            
              
                =
                 
              
              
                
                {
                {
                
                  v
                  
                    1
                  
                
                ,
                
                  v
                  
                    2
                  
                
                ,
                
                  v
                  
                    3
                  
                
                }
                ,
                {
                
                  v
                  
                    2
                  
                
                ,
                
                  v
                  
                    3
                  
                
                }
                ,
              
            
            
              
              
                
                {
                
                  v
                  
                    3
                  
                
                ,
                
                  v
                  
                    5
                  
                
                ,
                
                  v
                  
                    6
                  
                
                }
                ,
                {
                
                  v
                  
                    4
                  
                
                }
                }
              
            
          
        
      
    
    {\displaystyle {\begin{aligned}E=\ &\{e_{1},e_{2},e_{3},e_{4}\}\\=\ &\{\{v_{1},v_{2},v_{3}\},\{v_{2},v_{3}\},\\&\{v_{3},v_{5},v_{6}\},\{v_{4}\}\}\end{aligned}}}
  
.
Hypergraph sample