10 citations · 19 across the 6 of their papers we have counts for
4 papers · 1 filter
Reeb graph invariants of Morse functions and -manifold groups
Łukasz Patryk Michalak
In this work we are focused on the existence of Morse functions on a closed manifold which are far from being ordered, i.e. whose Reeb graphs have positive first Betti number,…
Relations between Reeb graphs, systems of hypersurfaces and epimorphisms onto free groups
Wacław Marzantowicz, Łukasz Patryk Michalak
We construct a correspondence between epimorphisms from the fundamental group of a compact manifold onto the free group of rank , and systems of …
Combinatorial modifications of Reeb graphs and the realization problem
Łukasz Patryk Michalak
We prove that, up to homeomorphism, any graph subject to natural necessary conditions on orientation and the cycle rank can be realized as the Reeb graph of a Morse function on a g…
Realization of a graph as the Reeb graph of a Morse function on a manifold
Łukasz Patryk Michalak
We investigate the problem of the realization of a given graph as the Reeb graph of a smooth function with finitely many critical…