An example of a hypergraph, with 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}\}} and E = { e 1 , e 2 , e 3 , e 4 } = {\displaystyle E=\{e_{1},e_{2},e_{3},e_{4}\}=} { { v 1 , v 2 , v 3 } , {\displaystyle \{\{v_{1},v_{2},v_{3}\},} { v 2 , v 3 } , {\displaystyle \{v_{2},v_{3}\},} { v 3 , v 5 , v 6 } , {\displaystyle \{v_{3},v_{5},v_{6}\},} { v 4 } } {\displaystyle \{v_{4}\}\}} . This hypergraph has order 7 and size 4. Here, edges do not just connect two vertices but several, and are represented by colors.