ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Approximation algorithms for Max Morse Matching

Rathod, Abhishek and Bin Masood, Talha and Natarajan, Vijay (2017) Approximation algorithms for Max Morse Matching. In: COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 61 . pp. 1-23.

[img] PDF
Com_geo_the_app_61_1-23_2017.pdf - Published Version
Restricted to Registered users only

Download (1MB) | Request a copy
Official URL: http://dx.doi.org/10.1016/j.comgeo.2016.10.002


In this paper, we prove that the Max Morse Matching Problem is approximable, thus resolving an open problem posed by Joswig and Pfetsch 1]. For D-dimensional simplicial complexes, we obtain a (D+1)/(D-2+D+1)-factor approximation ratio using a simple edge reorientation algorithm that removes cycles. For D >= 5, we describe a 2/D-factor approximation algorithm for simplicial manifolds by processing the simplices in increasing order of dimension. This algorithm leads to 1/2-factor approximation for 3-manifolds and 4/9-factor approximation for 4-manifolds. This algorithm may also be applied to non-manifolds resulting in a 1/(D+1)-factor approximation ratio. One application of these algorithms is towards efficient homology computation of simplicial complexes. Experiments using a prototype implementation on several datasets indicate that the algorithm computes near optimal results. (C) 2016 Elsevier B.V. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Department/Centre: Division of Electrical Sciences > Computer Science & Automation
Depositing User: Id for Latest eprints
Date Deposited: 09 Mar 2017 06:04
Last Modified: 09 Mar 2017 06:04
URI: http://eprints.iisc.ac.in/id/eprint/56352

Actions (login required)

View Item View Item