Results 21 to 30 of about 274,477 (261)
New Journal of Physics, 2020 In this article we report on a novel way to incorporate complex network structure into the analysis of interacting particle systems. More precisely, it is well-known that in well-mixed/homogeneous/all-to-all-coupled systems, one may derive mean-field ...
Christian Kuehn
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Sequential visibility-graph motifs [PDF]
, 2016 Visibility algorithms transform time series into graphs and encode dynamical information in their topology, paving the way for graph-theoretical time series analysis as well as building a bridge between nonlinear dynamics and network science.
Iacovacci, J, Lacasa, L
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Hodge theory-based biomolecular data analysis
Scientific Reports, 2022 Hodge theory reveals the deep intrinsic relations of differential forms and provides a bridge between differential geometry, algebraic topology, and functional analysis.
Ronald Koh Joon Wei +3 more
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On the Tutte-Krushkal-Renardy polynomial for cell complexes [PDF]
, 2013 Recently V. Krushkal and D. Renardy generalized the Tutte polynomial from graphs to cell complexes. We show that evaluating this polynomial at the origin gives the number of cellular spanning trees in the sense of A. Duval, C. Klivans, and J.
Abstract Recently V. Krushkal +4 more
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Image emotion analysis based on semantic concepts
Xibei Gongye Daxue Xuebao, 2023 With the increasing number of users express their emotions via images on social media, image emotion analysis attracts much attention of researchers. For the ambiguity and subjectivity of emotion, image emotion analysis is more challenging than other ...
YANG Hansen +4 more
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Duality properties of indicatrices of knots
, 2012 The bridge index and superbridge index of a knot are important invariants in knot theory. We define the bridge map of a knot conformation, which is closely related to these two invariants, and interpret it in terms of the tangent indicatrix of the knot ...
A.S. McRae +19 more
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Robust Transport over Networks [PDF]
, 2017 We consider transportation over a strongly connected, directed graph. The scheduling amounts to selecting transition probabilities for a discrete-time Markov evolution which is designed to be consistent with initial and final marginal constraints on mass
Chen, Yongxin +3 more
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Extending Undirected Graph Techniques to Directed Graphs via Category Theory
MathematicsWe use Category Theory to construct a ‘bridge’ relating directed graphs with undirected graphs, such that the notion of direction is preserved. Specifically, we provide an isomorphism between the category of simple directed graphs and a category we call ‘
Sebastian Pardo-Guerra +4 more
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Bitangents of tropical plane quartic curves [PDF]
, 2015 We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in algebraic geometry.
Baker, Matt +4 more
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Recognizing Instantaneous Group Patterns in Vessel Trajectory Data: A Snapshot Perspective
Journal of Marine Science and Engineering, 2023 Recognizing vessel navigation patterns plays a vital role in understanding maritime traffic behaviors, managing and planning vessel activities, spotting outliers, and predicting traffic.
Xiang Zhang, Yuchuan Zhou, Lianying Li
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