Name
Abstract | ||
|---|---|---|
Suppose a finite set $X$ is repeatedly transformed by a sequence of permutations of a certain type acting on an initial element $x$ to produce a final state $y$. We investigate how 'different' the resulting state $y'$ to $y$ can be if a slight change is made to the sequence, either by deleting one permutation, or replacing it with another. Here the 'difference' between $y$ and $y'$ might be measured by the minimum number of permutations of the permitted type required to transform $y$ to $y'$, or by some other metric. We discuss this first in the general setting of sensitivity to perturbation of walks in Cayley graphs of groups with a specified set of generators. We then investigate some permutation groups and generators arising in computational genomics, and the statistical implications of the findings. |
Year | Venue | Keywords |
|---|---|---|
2011 | Clinical Orthopaedics and Related Research | quantitative method,cayley graph,permutation group,discrete mathematics |
Field | DocType | Volume |
Permutation graph,Butterfly effect,Discrete mathematics,Combinatorics,Finite set,Cayley graph,Permutation,Permutation group,Genomics,Computational genomics,Mathematics | Journal | abs/1104.5 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincent Moulton | 1 | 330 | 48.01 |
| Mike Steel | 2 | 270 | 41.87 |