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bipartite_complete_graph [2014/02/08 00:45] nikolaj |
bipartite_complete_graph [2014/03/21 11:11] (current) |
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| ===== Bipartite complete graph ===== | ===== Bipartite complete graph ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#88DDEE: $V,E$ ... set | | + | | @#55CCEE: context | @#55CCEE: $V,E$ ... set | |
| - | | @#FFBB00: $\langle V,E,\psi\rangle \in \mathrm{it}(E,V) $ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle V,E,\psi\rangle \in \mathrm{it}(E,V) $ | |
| - | | @#55EE55: $\langle V,E,\psi\rangle $ ... undirected graph | | + | | @#55EE55: postulate | @#55EE55: $\langle V,E,\psi\rangle $ ... undirected graph | |
| - | | @#DDDDDD: $ X\cap Y=\emptyset $ | | + | | @#DDDDDD: range | @#DDDDDD: $ X\cap Y=\emptyset $ | |
| + | | @#DDDDDD: range | @#DDDDDD: $ x\in X $ | | ||
| + | | @#DDDDDD: range | @#DDDDDD: $ y\in Y $ | | ||
| - | | @#55EE55: $\exists X,Y.\ (\forall u,v.\ \{u,v\}\in\mathrm{im}(\psi)\implies (u\in X\land v\in Y)\lor (v\in X\land u\in Y)) \land (\forall(x\in X),(y\in Y).\ \{x,y\}\in\mathrm{im}\ \psi $ | | + | | @#55EE55: postulate | @#55EE55: $\exists X,Y.\ (\forall u,v.\ \{u,v\}\in\mathrm{im}(\psi)\implies (u\in X\land v\in Y)\lor (v\in X\land u\in Y)) \land (\forall x,y.\ \{x,y\}\in\mathrm{im}\ \psi) $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
