Hole: различия между версиями

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'''Hole''' ( дыра) is an odd cycle without diagonals <math>C_{2k+1}</math>, where <math>2k + 1 \geq 5</math>. Its ''complement'' is called an '''[[antihole]]'''. A graph is said to be a '''[[Berge graph]]''' if it does not contain '''hole''' and antiholes.
'''Hole''' ( дыра) is an odd cycle without diagonals <math>C_{2k+1}</math>, where <math>2k + 1 \geq 5</math>. Its [[Complement of a graph, complementary graph|complement]] is called an '''[[antihole]]'''. A graph is said to be a '''[[Berge graph]]''' if it does not contain '''hole''' and antiholes.

Версия от 18:54, 19 октября 2024

Hole ( дыра) is an odd cycle without diagonals [math]\displaystyle{ C_{2k+1} }[/math], where [math]\displaystyle{ 2k + 1 \geq 5 }[/math]. Its complement is called an antihole. A graph is said to be a Berge graph if it does not contain hole and antiholes.