3 papers
math.GT2022
Visualization of Morse flow with two saddles on 3-sphere diagrams
Svitlana Bilun, Alexandr Prishlyak
We describe all possible topological structures of Morse-Smale flows without closed trajectories on a three-dimensional sphere, which have two sources, two sinks, one saddle of Mor…
math.CO2022
Three-color graph as the 1-skeleton of the 2-sphere triangulation
Oleg Akchurin, Svitlana Bilun, Alexandr Prishlyak
The paper is devoted to finding the colorings of the edges of the 1-skeleton of triangulations of the 2-sphere in three colors so that for each face all three of its sides have dif…
math.GT2022
Morse flows with fixed points on the boundary of 3-manifold
Svitlana Bilun, Alexandr Prishlyak, Andrii Prus
The paper is devoted to the study of topological properties, structure and classification of Morse flows with fixed points on the boundary of three-dimensional manifolds. We constr…