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Wildlife corridors are components of landscapes, which facilitate the movement of organisms and processes between areas of intact habitat, and thus provide landscape corridor. Corridors are thus regions within a given landscape that…

Quantitative Methods · Quantitative Biology 2016-03-08 Saurabh Shanu , Jobin Idiculla , Qamar Qureshi , Yadvendradev Jhala , Sudeepto Bhattacharya

Wildlife corridors are components of landscapes, which facilitate the movement of organisms and processes between intact habitat areas, and thus provide connectivity between the habitats within the landscapes. Corridors are thus regions…

Populations and Evolution · Quantitative Biology 2017-10-04 Saurabh Shanu , Sudeepto Bhattacharya

An ecological network is a formal representation of a specific type of interaction in a corresponding ecosystem. Such networks have traditionally been modelled as encoding exclusively pairwise interactions among the fundamental units of…

Algebraic Topology · Mathematics 2022-03-28 Udit Raj , Shashankaditya Upadhyay , Moumita Karmakar , Sudeepto Bhattacharya

Network theoretic approach has been used to model and study the flow of ecological information, growth and connectivity on landscape level of anemochory plant species Abied pindrow, Betula utilis and Taxus wallichiana in the Western…

Populations and Evolution · Quantitative Biology 2016-10-04 Shashankaditya Upadhyay , Arijit Roy , M. Ramprakash , Jobin Idiculla , A. Senthil Kumar , Sudeepto Bhattacharya

Simplicial complexes are generalized network structures able to encode interactions occurring between more than two nodes. Simplicial complexes describe a large variety of complex interacting systems ranging from brain networks, to social…

Physics and Society · Physics 2016-06-22 Owen T. Courtney , Ginestra Bianconi

Many real networks in social sciences, biological and biomedical sciences or computer science have an inherent structure of simplicial complexes reflecting many-body interactions. Therefore, to analyse topological and dynamical properties…

Algebraic Topology · Mathematics 2020-04-16 Daniel Hernández Serrano , Darío Sánchez Gómez

A large variety of interacting complex systems are characterized by interactions occurring between more than two nodes. These systems are described by simplicial complexes. Simplicial complexes are formed by simplices (nodes, links,…

Physics and Society · Physics 2017-05-04 Ginestra Bianconi , Christoph Rahmede

For studying intrusion detection data we consider data points referring to individual IP addresses and their connections: We build networks associated with those data points, such that vertices in a graph are associated via the respective…

Commutative Algebra · Mathematics 2024-08-20 Mandala von Westenholz , Martin Atzmueller , Tim Römer

Collectives are often able to process information in a distributed fashion, surpassing each individual member's processing capacity. In fission-fusion dynamics, where group members come together and split from others often, sharing…

Quantitative Methods · Quantitative Biology 2025-09-09 Gabriel Ramos-Fernandez , Ross S. Walker , Matthew J. Silk , Denis Boyer , Sandra E. Smith-Aguilar

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. We extend…

Social and Information Networks · Computer Science 2017-09-04 Ernesto Estrada , Grant Ross

We analyze the time series obtained from different dynamical regimes of the logistic map by constructing their equivalent time series (TS) networks, using the visibility algorithm. The regimes analyzed include both periodic and chaotic…

Physics and Society · Physics 2018-07-10 N. Nirmal Thyagu , Nithyanand Rao , Malayaja Chutani , Neelima Gupte

This paper introduces a model that identifies spatial relationships for a structural analysis based on the concept of simplicial complex. The spatial relationships are identified through overlapping two map layers, namely a primary layer…

Data Analysis, Statistics and Probability · Physics 2008-01-15 Bin Jiang , Itzhak Omer

We use the visibility algorithm to construct the time series networks obtained from the time series of different dynamical regimes of the logistic map. We define the simplicial characterisers of networks which can analyse the simplicial…

Methodology · Statistics 2017-07-04 Neelima Gupte , N. Nirmal Thyagu , Malayaja Chutani

We use the topology of simplicial complexes to model political structures following [1]. Simplicial complexes are a natural tool to encode interactions in the structures since a simplex can be used to represent a subset of compatible…

Physics and Society · Physics 2021-12-07 Andrea Mock , Ismar Volic

A social-ecological network is a formal representation of a corresponding social-ecological system, and encodes a relation within a given system as an interaction. Conventionally, such networks have been defined as encoding and representing…

Algebraic Topology · Mathematics 2022-02-17 Sudeepto Bhattacharya

The past two decades have seen significant successes in our understanding of complex networked systems, from the mapping of real-world social, biological and technological networks to the establishment of generative models recovering their…

Persistent homology has been studied to better understand the structural properties and topology features of weighted networks. It can reveal hidden layers of information about the higher-order structures formed by non-pairwise interactions…

Combinatorics · Mathematics 2025-06-25 Udit Raj , Slobodan Maletić , Sudeepto Bhattacharya

Motivation: Protein-protein interactions (PPIs) are usually modelled as networks. These networks have extensively been studied using graphlets, small induced subgraphs capturing the local wiring patterns around nodes in networks. They…

Molecular Networks · Quantitative Biology 2018-04-13 Noel Malod-Dognin , Natasa Przulj

Spatial ecological networks are widely used to model interactions between georeferenced biological entities (e.g., populations or communities). The analysis of such data often leads to a two-step approach where groups containing similar…

Applications · Statistics 2014-02-24 Vincent Miele , Franck Picard , Stéphane Dray

Spatially explicit capture recapture (SECR) models have gained enormous popularity to solve abundance estimation problems in ecology. In this study, we develop a novel Bayesian SECR model that disentangles the process of animal movement…

Applications · Statistics 2018-01-01 Soumen Dey , Mohan Delampady , K. Ullas Karanth , Arjun M. Gopalaswamy
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