Add to ORKGThe aim of this paper is to study the notion of critical element of a proper discrete Morse function defined on non-compact graphs and surfaces. It is an extension to the non-compact case of the concept of critical simplex which takes into account the monotonous behaviour of a function at the ends of a complex. We show how the number of critical elements are related to the topology of the complex.Plan Nacional de Investigación (Ministerio de Educación y Ciencia
AbstractThe goal of this work is to study the structure of the pure Morse complex of a graph, that i...
Inspired by the works of Forman on discrete Morse theory, which is a combinatorial adaptation to cel...
AbstractIn Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse function...
AbstractThis paper is focused on looking for links between the topology of a connected and non-compa...
AbstractThis paper is focused on looking for links between the topology of a connected and non-compa...
AbstractWe characterize the topology of a graph in terms of the critical elements of a discrete Mors...
We present an algorithm which defines a discrete Morse function in Forman’s sense on an infinite sur...
The classical Morse theory is a powerful tool to study topological properties of a smooth manifold b...
This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. Th...
AbstractMorse theory is a powerful tool in its applications to computational topology, computer grap...
Piecewise-linear (PL) Morse theory and discrete Morse theory are used in shape analysis tasks to inv...
Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invente...
AbstractWe investigate properties of the set of discrete Morse functions on a fixed simplicial compl...
This article is an abstract of my presentation at RIMS, June, 2021. We show the relationship between...
AbstractMorse theory is a powerful tool in its applications to computational topology, computer grap...
AbstractThe goal of this work is to study the structure of the pure Morse complex of a graph, that i...
Inspired by the works of Forman on discrete Morse theory, which is a combinatorial adaptation to cel...
AbstractIn Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse function...
AbstractThis paper is focused on looking for links between the topology of a connected and non-compa...
AbstractThis paper is focused on looking for links between the topology of a connected and non-compa...
AbstractWe characterize the topology of a graph in terms of the critical elements of a discrete Mors...
We present an algorithm which defines a discrete Morse function in Forman’s sense on an infinite sur...
The classical Morse theory is a powerful tool to study topological properties of a smooth manifold b...
This paper is focused on the study of perfect discrete Morse functions on a 2-simplicial complex. Th...
AbstractMorse theory is a powerful tool in its applications to computational topology, computer grap...
Piecewise-linear (PL) Morse theory and discrete Morse theory are used in shape analysis tasks to inv...
Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invente...
AbstractWe investigate properties of the set of discrete Morse functions on a fixed simplicial compl...
This article is an abstract of my presentation at RIMS, June, 2021. We show the relationship between...
AbstractMorse theory is a powerful tool in its applications to computational topology, computer grap...
AbstractThe goal of this work is to study the structure of the pure Morse complex of a graph, that i...
Inspired by the works of Forman on discrete Morse theory, which is a combinatorial adaptation to cel...
AbstractIn Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse function...