Maximal Pivots on Graphs with an Application to Gene Assembly
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2009
- DOI:
- 10.48550/arXiv.0909.3789
- arXiv:
- arXiv:0909.3789
- Bibcode:
- 2009arXiv0909.3789B
- Keywords:
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- Mathematics - Combinatorics;
- Computer Science - Discrete Mathematics;
- 68R05;
- 68R10;
- 92D20
- E-Print:
- modest revision (including different latex style) w.r.t. v2, 16 pages, 5 figures