Approximating the minimum rank of a graph via alternating projection
نویسنده
چکیده
The minimum rank problem asks to find the minimum rank over all matrices with given pattern associated with a graph. This problem is NP-hard, and there is no known approximation method. In this article, a numerical algorithm is given to heuristically approximate the minimum rank using alternating projections. The effectiveness of this algorithm is demonstrated by comparing its results to a related parameter: the zero-forcing number. Using these methods, numerical evidence for the minimum rank graph complement conjecture is provided.
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عنوان ژورنال:
- Oper. Res. Lett.
دوره 44 شماره
صفحات -
تاریخ انتشار 2016