An efficient algorithm for finding a maximum weight 2-independent set on interval graphs

Ju Yuan Hsiao; Chuan Yi Tang; Ruay Shiung Chang

doi:10.1016/0020-0190(92)90216-I

An efficient algorithm for finding a maximum weight 2-independent set on interval graphs

Ju Yuan Hsiao, Chuan Yi Tang, Ruay Shiung Chang

Department of Computer Science and Information Engineering

Research output: Contribution to journal › Article › peer-review

64 Citations (Scopus)

Abstract

In this paper, we introduce an O(n) time algorithm to solve the maximum weight independent set problem on an interval graph with n vertices given its interval representation with sorted endpoints list. Based on this linear algorithm, we design an O(n²) time algorithm using O(n²) space to solve the maximum weight 2-independent set problem on an interval graph with n vertices. With a slight extension and modification of our algorithm, the maximum weight k-independent set problem on an interval graph with n vertices can be solved in O(n^k) time using O(n^k) space.

Original language	English
Pages (from-to)	229-235
Number of pages	7
Journal	Information Processing Letters
Volume	43
Issue number	5
DOIs	https://doi.org/10.1016/0020-0190(92)90216-I
Publication status	Published - 1992 Oct 5

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

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10.1016/0020-0190(92)90216-I

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AB - In this paper, we introduce an O(n) time algorithm to solve the maximum weight independent set problem on an interval graph with n vertices given its interval representation with sorted endpoints list. Based on this linear algorithm, we design an O(n2) time algorithm using O(n2) space to solve the maximum weight 2-independent set problem on an interval graph with n vertices. With a slight extension and modification of our algorithm, the maximum weight k-independent set problem on an interval graph with n vertices can be solved in O(nk) time using O(nk) space.

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