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Cuntos guardias son necesarios y su?cientes para vigilar una galera de arte? La anterior pregunta fue formulada por Victor Kleen en 1973 en una pltica con Vasek Chvtal. Dos aos despus Chvtal present una solucin a este problema. El propuso que si un galera de arte puede representarse a travs de un polgono simple con n vrtices, entonces n/3 guardias son siempre suficientes y a veces necesarios para vigilar el interior de la galera de arte. Este resultado atrajo la atencin de investigadores en geometra computacional y combinatoria dando como resultado una coleccin de variantes de este problema y soluciones. Por ejemplo, guardias mviles o con restringida amplitud de visin o si la galera de arte puede representarse a travs de un polgono ortogonal o un polgono simple con hoyos o un poliedro ortogonal entre otras variantes. Este trabajo presenta en detalle algunas de las variantes ms representativas.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer,
birth defects, or other reproductive harm.
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