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We study a network design problem motivated by the challenge of placing wildlife crossings to reconnect fragmented habitats of animal species, which is among the 17 goals towards sustainable development by the UN: Given a graph, whose…

数据结构与算法 · 计算机科学 2025-10-27 Christian Wallisch , Till Fluschnik , Leon Kellerhals

We study the problem of placing wildlife crossings, such as green bridges, over human-made obstacles to challenge habitat fragmentation. The main task herein is, given a graph describing habitats or routes of wildlife animals and…

计算复杂性 · 计算机科学 2024-04-02 Till Fluschnik , Leon Kellerhals

We study the problem of robustly reconnecting habitats via the placement of green bridges at minimum total cost. Habitats are fragmented into patches and we seek to reconnect each habitat such that it remains connected even if any of its…

数据结构与算法 · 计算机科学 2026-02-24 Gero Ellmies , Till Fluschnik

In this paper we consider the problem of optimizing the ecological connectivity of a landscape under a budget constraint by improving habitat areas and ecological corridors between them. We consider a formulation of this problem in terms of…

数据结构与算法 · 计算机科学 2022-04-14 François Hamonic , Cécile Albert , Basile Couëtoux , Yann Vaxès

The prevention of biodiversity loss in agricultural landscapes to protect ecosystem stability and functions is of major importance in itself and for the maintenance of associated ecosystem services. Intense agriculture leads to a loss in…

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…

定量方法 · 定量生物学 2016-03-08 Saurabh Shanu , Jobin Idiculla , Qamar Qureshi , Yadvendradev Jhala , Sudeepto Bhattacharya

A stable population network is hard to interrupt without any ecological consequences. A communication blockage between patches may destabilize the populations in the ecological network. This work deals with the construction of a safe cut…

动力系统 · 数学 2018-04-25 Dinesh Kumar , Jatin Gupta , Soumyendu Raha

An effective way to reduce clutter in a graph drawing that has (many) crossings is to group edges that travel in parallel into \emph{bundles}. Each edge can participate in many such bundles. Any crossing in this bundled graph occurs between…

计算几何 · 计算机科学 2022-09-23 Steven Chaplick , Thomas C. van Dijk , Myroslav Kryven , Ji-won Park , Alexander Ravsky , Alexander Wolff

Understanding the influence of an environment on the evolution of its resident population is a major challenge in evolutionary biology. Great progress has been made in homogeneous population structures while heterogeneous structures have…

种群与进化 · 定量生物学 2014-07-30 Wes Maciejewski , Gregory J. Puleo

Graph isomorphism, subgraph isomorphism, and maximum common subgraphs are classical well-investigated objects. Their (parameterized) complexity and efficiently tractable cases have been studied. In the present paper, for a given set of…

数据结构与算法 · 计算机科学 2024-03-22 Dieter Rautenbach , Florian Werner

We introduce the problem of finding a spanning tree along with a partition of the tree edges into fewest number of feasible sets, where constraints on the edges define feasibility. The motivation comes from wireless networking, where we…

网络与互联网体系结构 · 计算机科学 2018-03-14 Magnus M. Halldorsson , Guy Kortsarz , Pradipta Mitra , Tigran Tonoyan

Network alignment aims to find regions of topological or functional similarities between networks. In computational biology, it can be used to transfer biological knowledge from a well-studied species to a poorly-studied species between…

分子网络 · 定量生物学 2014-10-21 Joseph Crawford , Tijana Milenković

The notion of forbidden-transition graphs allows for a robust generalization of walks in graphs. In a forbidden-transition graph, every pair of edges incident to a common vertex is permitted or forbidden; a walk is compatible if all pairs…

数据结构与算法 · 计算机科学 2020-09-29 Thomas Bellitto , Shaohua Li , Karolina Okrasa , Marcin Pilipczuk , Manuel Sorge

The problem of inferring unknown graph edges from numerical data at a graph's nodes appears in many forms across machine learning. We study a version of this problem that arises in the field of \emph{landscape genetics}, where genetic…

机器学习 · 计算机科学 2021-03-11 Prathamesh Dharangutte , Christopher Musco

Many discrete optimization problems amount to selecting a feasible set of edges of least weight. We consider in this paper the context of spatial graphs where the positions of the vertices are uncertain and belong to known uncertainty sets.…

数据结构与算法 · 计算机科学 2022-09-27 Marin Bougeret , Jérémy Omer , Michael Poss

We consider the constrained graph alignment problem which has applications in biological network analysis. Given two input graphs $G_1=(V_1,E_1), G_2=(V_2,E_2)$, a pair of vertex mappings induces an {\it edge conservation} if the vertex…

数据结构与算法 · 计算机科学 2023-06-22 Ferhat Alkan , Türker Bıyıkoğlu , Marc Demange , Cesim Erten

In this paper, we consider a random geometric graph (RGG)~\(G\) on~\(n\) nodes with adjacency distance~\(r_n\) just below the Hamiltonicity threshold and construct Hamiltonian cycles using additional edges called bridges. The bridges by…

概率论 · 数学 2021-12-13 Ghurumuruhan Ganesan

We consider the task of drawing a graph on multiple horizontal layers, where each node is assigned a layer, and each edge connects nodes of different layers. Known algorithms determine the orders of nodes on each layer to minimize crossings…

数据结构与算法 · 计算机科学 2025-03-03 Alexander Dobler , Jakob Roithinger

Network visualization is essential for many scientific, societal, technological and artistic domains. The primary goal is to highlight patterns out of nodes interconnected by edges that are easy to understand, facilitate communication and…

物理与社会 · 物理学 2024-06-18 Fabrizio De Vico Fallani , Thibault Rolland

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…

应用统计 · 统计学 2014-02-24 Vincent Miele , Franck Picard , Stéphane Dray
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