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loopless_graph [2014/02/08 13:14] nikolaj old revision restored (2014/02/08 12:51) |
loopless_graph [2014/03/21 11:11] (current) |
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| ===== Loopless graph ===== | ===== Loopless 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 | |
| - | | @#FFFDDD: $u\in V$ | | + | | @#FFFDDD: for all | @#FFFDDD: $u\in V$ | |
| - | | @#55EE55: $\{u,u\} $ ... not edge | | + | | @#55EE55: postulate | @#55EE55: $\{u,u\} $ ... not an edge | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | For a graph $G=\langle V,E,\psi\rangle$, we write | ||
| - | |||
| - | | @#EEEE55: $\{x,y\}$ ... edge in $G \equiv \{x,y\}\in\mathrm{im}\ \psi_G$ | | ||
| - | | @#EEEE55: $\{x,y\}$ ... edge in $G$ ... loopless \equiv \{x,y\}\in\mathrm{im}\ \psi_G$ | | ||
| - | |||
| ==== Parents ==== | ==== Parents ==== | ||
| - | === Context === | + | === Subset of === |
| - | [[Function]] | + | [[Undirected graph]] |
