Results 21 to 30 of about 266 (143)
Combinatorial Modifications of Reeb Graphs and the Realization Problem [PDF]
Discrete & Computational Geometry, 2021 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 given closed manifold $M$. Along the way, we show that the Reeb number $\mathcal{R}(M)$, i.e. the maximum cycle rank among all Reeb graphs of functions on $M$, is equal to the
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Measure-Theoretic Reeb Graphs and Reeb Spaces
Discrete & Computational GeometryA Reeb graph is a graphical representation of a scalar function on a topological space that encodes the topology of the level sets. A Reeb space is a generalization of the Reeb graph to a multiparameter function. In this paper, we propose novel constructions of Reeb graphs and Reeb spaces that incorporate the use of a measure.
Qingsong Wang +3 more
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Poincaré–Reeb graphs of real algebraic domains
Revista Matemática Complutense, 2023 AbstractAn algebraic domain is a closed topological subsurface of a real affine plane whose boundary consists of disjoint smooth connected components of real algebraic plane curves. We study the geometric shape of an algebraic domain by collapsing all vertical segments contained in it: this yields a Poincaré–Reeb graph, which is naturally transversal ...
Bodin, Arnaud +2 more
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Reeb Graph Metrics from the Ground Up
CoRR, 2021 71 pages, 35 ...
Brian C. Bollen +3 more
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Strategic Change, EarlyView.ABSTRACT This study examines how CEO narcissism shapes corporate diversification strategies, addressing gaps in upper echelon and agency theories. Using a sample of 388 CEOs across 319 firms, we find that narcissistic CEOs drive higher levels of overall corporate diversification but exhibit a strategic trade‐off: they strongly favor unrelated ...
Naima Lassoued, Imen Khanchel
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Geometry‐Aware Alignment and Comparison of Hierarchical Morse Complexes with Applications
Computer Graphics Forum, EarlyView.Abstract Scalar fields derived from 3D X‐ray CT scans of samples undergoing ex situ processes, such as thermal aging, chemical etching, or mechanical stress, pose unique challenges for characterizing similarities and differences across acquisitions. Typically, a sample A (source) is imaged, removed, and subjected to experimental conditions that alter ...
Aniketh Venkat +3 more
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Reeb graphs for shape analysis and applications
Theoretical Computer Science, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Biasotti S +3 more
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Discovering Moving Flock Patterns in Movement Data: A Reeb Graph-Based Approach
Applied SciencesMovement pattern mining is a key focus in movement data research, with moving flock patterns holding particular significance due to their potential to reveal valuable insights across various domains.
Pengdong Zhang, Nico Van de Weghe
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Scalable Computation of Topological Abstractions for Scalar Data
Computer Graphics Forum, EarlyView.Abstract Topological data analysis has become an important tool for large scale scalar data analysis and visualization, efficiently extracting the inherent structure and features of interest of the data. However, with growing dataset sizes and complexity, it is increasingly becoming infeasible to compute topological abstractions of interest in serial ...
M. Will +6 more
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Journal of Management Studies, EarlyView.Abstract Prior literature on market categories and identities focuses primarily on whether categorical atypicality leads to positive or negative evaluation; however, much less is known about whether the evaluation is accurate or not. While it is important for producers to know if atypicality is penalized or rewarded, audiences are also concerned about ...
Pengfei Wang, Jingjiang Liu
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