Micronuclear Sequences Associated with Assembly Graphs
Christeen Bisnath

TL;DR
This paper explores how to determine micronuclear sequences from assembly graphs with specific focus on Hamiltonian paths and smoothings, analyzing orientations and their effects on sequence formation.
Contribution
It introduces a method to identify micronuclear sequences based on assembly graph orientations and smoothings, focusing on graphs with two 4-valent vertices.
Findings
Analysis of orientations affects sequence determination
Different smoothings influence micronuclear sequences
Focus on specific assembly graph configurations
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Finite Group Theory Research
