# A Note on Maximum Weight Independent Set in Outer-rectangle Graph

## Keywords:

Weighted independent set, rectangle graphs, dynamic programming## Abstract

An outer-rectangle graph is the intersection graph of rectangles lying inside a rectangular box and having exactly one edge on the boundary of the box. We present a polynomial-time algorithm for the problem of computing a maximum weight independent set in 2-side outer-rectangle graphs where any two rectangles lying on same edge of box do not intersect.

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*Mathematical Problems of Computer Science*,

*36*, 51–56. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/265

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