Micronuclear Sequences Associated with Assembly Graphs

Abstract

This paper investigates given an assembly graph, find the possible micronuclear sequences in terms of MDSs and IESs; which represent Hamiltonian polygonal paths. We will consider the orientations of the assembly graph and Hamiltonian polygonal path. To obtain a micronuclear sequence of this path, we will compare orientation of the Hamiltonian polygonal path with respect to the orientation of the assembly graph. We concentrate on two assembly graphs with two 4-valent vertices. These Hamiltonian polygonal paths influence the type of smoothings performed. There are two types of smoothings parallel and non-parallel smoothing. We consider a micronuclear sequence after one smoothing of a vertex.