Maximal Pivots on Graphs with an Application to Gene Assembly
Combinatorics
2010-10-15 v3 Discrete Mathematics
Abstract
We consider principal pivot transform (pivot) on graphs. We define a natural variant of this operation, called dual pivot, and show that both the kernel and the set of maximally applicable pivots of a graph are invariant under this operation. The result is motivated by and applicable to the theory of gene assembly in ciliates.
Keywords
Cite
@article{arxiv.0909.3789,
title = {Maximal Pivots on Graphs with an Application to Gene Assembly},
author = {Robert Brijder and Hendrik Jan Hoogeboom},
journal= {arXiv preprint arXiv:0909.3789},
year = {2010}
}
Comments
modest revision (including different latex style) w.r.t. v2, 16 pages, 5 figures