Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision | ||
bipartite_graph [2014/02/11 00:44] nikolaj |
bipartite_graph [2014/04/06 14:51] nikolaj |
||
---|---|---|---|
Line 1: | Line 1: | ||
===== Bipartite graph ===== | ===== Bipartite graph ===== | ||
==== Set ==== | ==== Set ==== | ||
- | | @#88DDEE: $V$ ... set | | + | | @#55CCEE: context | @#55CCEE: $V$ ... set | |
- | + | | @#FFBB00: definiendum | @#FFBB00: $\langle V,E\rangle \in \mathrm{it}(E,V) $ | | |
- | | @#FFBB00: $\langle V,E\rangle \in \mathrm{it}(E,V) $ | | + | | @#55EE55: postulate | @#55EE55: $ \langle V,E\rangle $ ... undirected graph | |
- | + | | @#DDDDDD: range | @#DDDDDD: $ X\cup Y=V $ | | |
- | | @#55EE55: $ \langle V,E\rangle $ ... undirected graph | | + | | @#DDDDDD: range | @#DDDDDD: $ X\cap Y=\emptyset $ | |
- | + | | @#DDDDDD: range | @#DDDDDD: $ v,w\in V $ | | |
- | | @#DDDDDD: $ X,Y\subset V, X\cap Y=\emptyset $ | | + | | @#55EE55: postulate | @#55EE55: $\exists X,Y.\ \forall u,v.\ \{u,v\}\in E\implies \neg(u\in X\land v\in X)\land \neg(v\in Y\land u\in Y) $ | |
- | | @#DDDDDD: $ v,w\in V $ | | + | |
- | + | ||
- | | @#55EE55: $\exists X,Y.\ \forall u,v.\ \{u,v\}\in E\implies \neg(u\in X\land v\in X)\land \neg(v\in Y\land u\in Y) $ | | + | |
==== Discussion ==== | ==== Discussion ==== |