Results 71 to 80 of about 6,044,782 (145)

Persistent homology of unweighted complex networks via discrete Morse theory. [PDF]

Sci Rep, 2019
Kannan H, Saucan E, Roy I, Samal A.
europepmc   +1 more source

A Minimal Morse Resolution of Path Ideals of Lines of Projective Dimension 2

We study the connection between a special class of monomial ideals and CW complexes. Let I denote the ideal $I_t(L_{2t+1})$, i.e., a path ideal of line graph of projective dimension 2.
Wang, Kyle
core  

Homotopy equivalent spectral transformation and Morse theory

, 1995
this paper is to establish systematic treatment of a speech-spectrum transformation and to make the notion of " deformation of spectral-surface". For this purpose, we use the algebraic topological language mainly developed in Morse theory.
Yoshinao Shiraki, Morse Theory
core  

Discrete Morse theory for open complexes

We develop a discrete Morse theory for open simplicial complexes $K=X\setminus T$ where $X$ is a simplicial complex and $T$ a subcomplex of $X$. A discrete Morse function $f$ on $K$ gives rise to a discrete Morse function on the order complex $S_K$ of $K$
Scoville, Nicholas A., Knudson, Kevin P.
core  

Tetragraphene-Based Nanotubes Under Temperature Effects: Atomistic Insights into Nanostructural Degradation via Reactive Molecular Dynamics. [PDF]

Nanomaterials (Basel)
Sousa JM.
europepmc   +1 more source

Morse Theory for the <i>k</i>-NN Distance Function. [PDF]

Discrete Comput Geom
Reani Y, Bobrowski O.
europepmc   +1 more source

Coexistence and extinction in flow-kick systems: An invasion growth rate approach. [PDF]

J Math Biol
Schreiber SJ.
europepmc   +1 more source

Quantum tunneling in DNA methylation: A computational study using QM/MM and molecular dynamics. [PDF]

Biophys J
Sato J, Choi A, Clement PU, Alvarez G, Dang T, Erenso D, Crogman HT.   +6 more
europepmc   +1 more source

A USER’S GUIDE TO DISCRETE MORSE THEORY

, 2002
A number of questions from a variety of areas of mathematics lead one to the problem of analyzing the topology of a simplicial complex. However, there are few general techniques available to aid us in this study.
Robin Forman
core