Graphs with unique maximum independent sets
نویسندگان
چکیده
منابع مشابه
On Perfect and Unique Maximum Independent Sets in Graphs
A perfect independent set I of a graph G is defined to be an independent set with the property that any vertex not in I has at least two neighbors in I. For a nonnegative integer k, a subset I of the vertex set V (G) of a graph G is said to be k-independent, if I is independent and every independent subset I ′ of G with |I | > |I| − (k − 1) is a subset of I. A set I of vertices of G is a super ...
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Maximum independent set (MIS) is a fundamental problem in graph theory and it has important applications in many areas such as social network analysis, graphical information systems and coding theory. The problem is NP-hard, and there has been numerous studies on its approximate solutions. While successful to a certain degree, the existing methods require memory space at least linear in the siz...
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Finding the maximum independent set in the intersection graph of n axis-parallel rectangles is NP-hard. We re-examine two known approximation results for this problem. For the case of rectangles of unit height, Agarwal, van Kreveld, and Suri (1997) gave a (1+1/k)-factor algorithm with an O(n log n + n) time bound for any integer constant k ≥ 1; we describe a similar algorithm running in only O(...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1985
ISSN: 0012-365X
DOI: 10.1016/0012-365x(85)90177-3