Analysis of simplicial complexes to determine when to sample for quantitative DCE MRI of the breast
Sign Up to like & getrecommendations! Published in 2022 at "Magnetic Resonance in Medicine"
DOI: 10.1002/mrm.29511
Abstract: A method is presented to select the optimal time points at which to measure DCE‐MRI signal intensities, leaving time in the MR exam for high‐spatial resolution image acquisition. read more here.
Keywords: determine sample; analysis simplicial; dce mri; simplicial complexes ... See more keywords
Quantum walk on simplicial complexes for simplicial community detection
Sign Up to like & getrecommendations! Published in 2024 at "Quantum Information Processing"
DOI: 10.1007/s11128-024-04415-9
Abstract: Quantum walks have emerged as a transformative paradigm in quantum information processing and can be applied to various graph problems. This study explores discrete-time quantum walks on simplicial complexes, a higher-order generalization of graph structures.… read more here.
Keywords: higher order; walk simplicial; quantum walk; simplicial complexes ... See more keywords
Graded Betti Numbers of Balanced Simplicial Complexes
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Vietnamica"
DOI: 10.1007/s40306-021-00449-8
Abstract: We prove upper bounds for the graded Betti numbers of Stanley-Reisner rings of balanced simplicial complexes. Along the way we show bounds for Cohen-Macaulay graded rings S/I, where S is a polynomial ring and $I\subseteq… read more here.
Keywords: numbers balanced; graded betti; number; betti numbers ... See more keywords
Simplicial complexes and tilting theory for Brauer tree algebras
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.12.020
Abstract: We study 2-term tilting complexes of Brauer tree algebras in terms of simplicial complexes. We show the symmetry and convexity of the simplicial complexes as lattice polytopes. Via a geometric interpretation of derived equivalences, we… read more here.
Keywords: theory brauer; brauer tree; tree algebras; simplicial complexes ... See more keywords
Creating semiflows on simplicial complexes from combinatorial vector fields
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.10.001
Abstract: Combinatorial vector fields on simplicial complexes as introduced by Robin Forman have found numerous and varied applications in recent years. Yet, their relationship to classical dynamical systems has been less clear. In recent work it… read more here.
Keywords: vector; creating semiflows; semiflows simplicial; combinatorial vector ... See more keywords
Centralities in simplicial complexes. Applications to protein interaction networks.
Sign Up to like & getrecommendations! Published in 2018 at "Journal of theoretical biology"
DOI: 10.1016/j.jtbi.2017.11.003
Abstract: Complex networks can be used to represent complex systems which originate in the real world. Here we study a transformation of these complex networks into simplicial complexes, where cliques represent the simplices of the complex.… read more here.
Keywords: applications protein; different levels; centralities simplicial; centrality ... See more keywords
Stability of synchronization in simplicial complexes
Sign Up to like & getrecommendations! Published in 2021 at "Nature Communications"
DOI: 10.1038/s41467-021-21486-9
Abstract: Various systems in physics, biology, social sciences and engineering have been successfully modeled as networks of coupled dynamical systems, where the links describe pairwise interactions. This is, however, too strong a limitation, as recent studies… read more here.
Keywords: synchronization simplicial; stability; stability synchronization; simplicial complexes ... See more keywords
Identifying partial topology of simplicial complexes.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0106943
Abstract: This paper investigates partial topology identification of simplicial complexes based on adaptive synchronization. For the nodes of interest, the interactions that they participate in can be accurately reconstructed by designing adaptive controllers and parameter estimators.… read more here.
Keywords: topology; identifying partial; partial topology; topology simplicial ... See more keywords
Co-evolution of behavioral attitudes and disease transmission on multilayer simplicial complexes.
Sign Up to like & getrecommendations! Published in 2025 at "Chaos"
DOI: 10.1063/5.0270618
Abstract: As global public health emergencies become more frequent, the role of higher-order interactions between individuals and environmental media in disease transmission has attracted significant attention. This study proposes a multilayer higher-order model based on simplicial… read more here.
Keywords: transmission; simplicial complexes; infection density; disease transmission ... See more keywords
Effects of noise on synchronization in simplicial complexes
Sign Up to like & getrecommendations! Published in 2025 at "Chinese Physics B"
DOI: 10.1088/1674-1056/adc7ef
Abstract: This paper explores the synchronization of stochastic simplicial complexes with noise, modeled by stochastic differential equations of Itô type. It establishes the relationship between synchronization and individual dynamics, higher-order structures, coupling strengths, and noise. In… read more here.
Keywords: synchronization; synchronization simplicial; effects noise; simplicial complexes ... See more keywords
Spectral Detection of Simplicial Communities via Hodge Laplacians
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.064303
Abstract: While the study of graphs has been very popular, simplicial complexes are relatively new in the network science community. Despite being a source of rich information, graphs are limited to pairwise interactions. However, several real-world… read more here.
Keywords: community; simplicial communities; higher order; simplicial complexes ... See more keywords