Cycle isomorphism: различия между версиями
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Glk (обсуждение | вклад) (Новая страница: «'''Cycle isomorphism''' --- циклический изоморфизм. A bijection <math>f</math> between the vertex sets <math>V_{1}</math> and <math>V_{2}</mat…») |
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A bijection <math>f</math> between the vertex sets <math>V_{1}</math> and <math>V_{2}</math> of two | A bijection <math>f</math> between the vertex sets <math>V_{1}</math> and <math>V_{2}</math> of two | ||
''sigraphs'' <math>S_{1}</math> and <math>S_{2}</math>, respectively, is called f '''cycle isomorphism''' (or '''weak isomorphism''') between <math>S_{1}</math> and | ''sigraphs'' <math>S_{1}</math> and <math>S_{2}</math>, respectively, is called f '''cycle isomorphism''' (or '''weak isomorphism''') between <math>S_{1}</math> and | ||
<math>S_{2}</math> if <math>f</math> preserves both vertex | <math>S_{2}</math> if <math>f</math> preserves both vertex adjacencies and cycle signs of | ||
<math>S_{1}</math> and <math>S_{2}</math>. | <math>S_{1}</math> and <math>S_{2}</math>. | ||
Версия от 15:42, 18 марта 2011
Cycle isomorphism --- циклический изоморфизм.
A bijection [math]\displaystyle{ f }[/math] between the vertex sets [math]\displaystyle{ V_{1} }[/math] and [math]\displaystyle{ V_{2} }[/math] of two sigraphs [math]\displaystyle{ S_{1} }[/math] and [math]\displaystyle{ S_{2} }[/math], respectively, is called f cycle isomorphism (or weak isomorphism) between [math]\displaystyle{ S_{1} }[/math] and [math]\displaystyle{ S_{2} }[/math] if [math]\displaystyle{ f }[/math] preserves both vertex adjacencies and cycle signs of [math]\displaystyle{ S_{1} }[/math] and [math]\displaystyle{ S_{2} }[/math].