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Maximum Independent Set on B-1-VPG Graphs

Lahiri, Abhiruk and Mukherjee, Joydeep and Subramanian, CR (2015) Maximum Independent Set on B-1-VPG Graphs. In: 9th Annual International Conference on Combinatorial Optimization and Applications (COCOA), DEC 18-20, 2015, Houston, TX, pp. 633-646.

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Official URL: http://dx.doi.org/10.1007/978-3-319-26626-8_46

Abstract

We present two approximation algorithms for the maximum independent set (MIS) problem over the class of B-1-VPG graphs and also for the subclass, equilateral B-1-VPG graphs. The first algorithm is shown to have an approximation guarantee of O((log n)(2)) whereas the second one is shown to have an approximation guarantee of O(log d) where d denotes the ratio d(max)/d(min) and d(max) and d(min) denote respectively the maximum and minimum length of of any arm in the input L-representation of the graph. No approximation algorithms have been known for the MIS problem for these graph classes before. Also, the NP-completeness of the decision version restricted to unit length equilateral B-1-VPG graphs is established.

Item Type: Conference Proceedings
Additional Information: Copy right for this article belongs to the SPRINGER INT PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Depositing User: Id for Latest eprints
Date Deposited: 22 Jun 2016 06:24
Last Modified: 22 Jun 2016 06:24
URI: http://eprints.iisc.ac.in/id/eprint/54066

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