Side - Lead Interconnection for Alloy - Separator Planar Stacks
نویسندگان
چکیده
منابع مشابه
A Well-Connected Separator for Planar Graphs
We prove a separator theorem for planar graphs, which has been used to obtain polynomial time approximation schemes for the metric TSP [8] and the 2edge-connected and biconnected spanning subgraph problems [6] in unweighted planar graphs. We also prove an extension of the theorem which was used in [3] to find quasi-polynomial time approximation schemes for the weighted cases of the latter two p...
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Given a weighted planar graph, we construct a simple separating cycle C whose interior and exterior both weigh at most 2/3 of the total weight. The cycle C uses k jumps across the faces and ordinary edges with cost O(1=k) of the total edge cost. This theorem is the main component of a PTAS for the weighted TSP problem 4].
متن کاملNP-completeness of the Planar Separator Problems
For a given graph G, the Separator Problem asks whether a vertex or edge set of small cardinality (or weight) exists whose removal partitions G into two disjoint graphs of approximately equal sizes. Called the Vertex Separator Problem when the removed set is a vertex set, and the Edge Separator Problem when it is an edge set, both problems are NP-complete for general unweighted graphs [6]. Desp...
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Through the paper Application of A Planar Separator Theorem by RICHARD J. LIPTON and ROBERT TARJAN, we get that any n-vertex planar graph can be divided into components of roughly equal size by removing only O( n ) vertices. This separator theorem with a divide-and-conquer strategy can help us resolve many new complexity planar graph problems. This report briefly describes six application of th...
متن کاملSeparator Theorems and Turán-type Results for Planar Intersection Graphs
We establish several geometric extensions of the Lipton-Tarjan separator theorem for planar graphs. For instance, we show that any collection C of Jordan curves in the plane with a total of m crossings has a partition into three parts C = S ∪C1 ∪C2 such that |S| = O( √ m), max{|C1|, |C2|} ≤ 2 3 |C|, and no element of C1 has a point in common with any element of C2. These results are used to obt...
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ژورنال
عنوان ژورنال: ECS Proceedings Volumes
سال: 1997
ISSN: 0161-6374,2576-1579
DOI: 10.1149/199740.1291pv