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k-cycle [2014/02/08 19:11] nikolaj |
k-cycle [2014/03/21 11:11] (current) |
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| ===== k-cycle ===== | ===== k-cycle ===== | ||
| ==== Set ==== | ==== Set ==== | ||
| - | | @#88DDEE: $V,E$ ... set | | + | | @#55CCEE: context | @#55CCEE: $V,E$ ... set | |
| - | | @#88DDEE: $k\in\mathbb N$ | | + | | @#55CCEE: context | @#55CCEE: $k\in\mathbb N$ | |
| - | | @#FFBB00: $\langle V,E,\psi\rangle \in \mathrm{it} $ | | + | | @#FFBB00: definiendum | @#FFBB00: $\langle V,E,\psi\rangle \in \mathrm{it} $ | |
| - | | @#AAFFAA: $\langle V,E,\psi\rangle $ ... cycle | | + | | @#AAFFAA: inclusion | @#AAFFAA: $\langle V,E,\psi\rangle $ ... cycle | |
| - | | @#55EE55: $ |\ E\ |=k $ | | + | | @#55EE55: postulate | @#55EE55: $ |\ E\ |=k $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| The first few k-cycles are called as follows: | The first few k-cycles are called as follows: | ||
| - | point/henagon, line/edge/digon, triangle, sqare/quadrilateral, pentagon, hexagon,... | + | point/henagon, line/edge/digon, triangle/trigon, sqare/tetragon/quadrilateral, pentagon, hexagon,... |
| === Reference === | === Reference === | ||
| - | Wikipedia: [[en.wikipedia.org/wiki/Polygon#Naming_polygons|naming polygons]] | + | Wikipedia: [[http://en.wikipedia.org/wiki/Polygon|Naming polygons]] |
| ==== Parents ==== | ==== Parents ==== | ||
| === Subset of === | === Subset of === | ||
| - | [[cycle - graph theory]], [[k-path]] | + | [[k-path]], [[Cycle . graph theory]] |
