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connected_graph [2014/02/08 00:54] nikolaj old revision restored (2014/02/08 00:30) |
connected_graph [2014/03/21 11:11] (current) |
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| ===== Connected graph ===== | ===== Connected 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: $ X\cup Y=V $ | | + | | @#DDDDDD: range | @#DDDDDD: $ X\cup Y=V $ | |
| - | | @#DDDDDD: $ x\in X $ | | + | | @#DDDDDD: range | @#DDDDDD: $ x\in X $ | |
| - | | @#DDDDDD: $ y\in Y $ | | + | | @#DDDDDD: range | @#DDDDDD: $ y\in Y $ | |
| - | | @#DDDDDD: $ e\in E $ | | + | |
| - | | @#55EE55: $ \forall X,Y. \exists x,y,e.\ e=\{x,y\} $ | | + | | @#55EE55: postulate | @#55EE55: $ \forall X,Y. \exists x,y.\ \{x,y\}\in\mathrm{im}\ \psi $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
