Diameter of Polyhedra: Limits of Abstraction

We investigate the diameter of a natural abstraction of the 1-skeleton of polyhedra. Even if this abstraction is more general than other abstractions previously studied in the literature, known upper bounds on the diameter of polyhedra continue to hold here. On the other hand, we show that this abstraction has its limits by providing an almost quadratic lower bound.


Published in:
Mathematics of Operations Research, 35, 4, 786-794
Year:
2010
ISSN:
1526-5471
Keywords:
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 Record created 2011-03-10, last modified 2018-09-13

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