A PQ Tree-based Framework for Reconstructing Common Ancestors under Inversions and Translocations

Various international efforts are underway to catalog the genomic similarities and variations in the human population. Some key discoveries such as inversions and translocations within the members of the species have been made in the last few years. The task of constructing a correct genealogy tree of the members of the same species, given this knowledge and data, is an important problem. In this context, a key observation is that the "distance" between two members, or member and ancestor, within the species is small. In this paper, we pose the tree (genealogy) reconstruction problem exploiting some of these peculiarities. Our proposed scheme is based on the idea of minimal consensus PQ trees on permutations. We give a simple scheme to construct the tree and use a modified PQ tree structure to reconstruct the common ancestors on the genealogy tree.

By: Laxmi Parida

Published in: RC23837 in 2005

LIMITED DISTRIBUTION NOTICE:

This Research Report is available. This report has been submitted for publication outside of IBM and will probably be copyrighted if accepted for publication. It has been issued as a Research Report for early dissemination of its contents. In view of the transfer of copyright to the outside publisher, its distribution outside of IBM prior to publication should be limited to peer communications and specific requests. After outside publication, requests should be filled only by reprints or legally obtained copies of the article (e.g., payment of royalties). I have read and understand this notice and am a member of the scientific community outside or inside of IBM seeking a single copy only.

rc23837.pdf

Questions about this service can be mailed to reports@us.ibm.com .