activity
20092023
most citedRicci Curvature of the Internet Topology

19 citations · 38 across the 14 of their papers we have counts for

collaborators

16 papers

cs.DS2023

Evaluating Stability in Massive Social Networks: Efficient Streaming Algorithms for Structural Balance

Vikrant Ashvinkumar, Sepehr Assadi, Chengyuan Deng +2

Structural balance theory studies stability in networks. Given a -vertex complete graph whose edges are labeled positive or negative, the graph is considered \emph{bal…

cs.CG2020

Cutting Polygons into Small Pieces with Chords: Laser-Based Localization

Esther M. Arkin, Rathish Das, Jie Gao +4

Motivated by indoor localization by tripwire lasers, we study the problem of cutting a polygon into small-size pieces, using the chords of the polygon. Several versions are conside…

cs.CR2020★ 3 cited

Data Inference from Encrypted Databases: A Multi-dimensional Order-Preserving Matching Approach

Yanjun Pan, Alon Efrat, Ming Li +5

Due to increasing concerns of data privacy, databases are being encrypted before they are stored on an untrusted server. To enable search operations on the encrypted data, searchab…

cs.MA2018★ 3 cited

Improved Bounds on Information Dissemination by Manhattan Random Waypoint Model

Aria Rezaei, Jie Gao, Jeff M. Phillips +1

With the popularity of portable wireless devices it is important to model and predict how information or contagions spread by natural human mobility -- for understanding the spread…

cs.SI2018

Network Alignment by Discrete Ollivier-Ricci Flow

Chien-Chun Ni, Yu-Yao Lin, Jie Gao +1

In this paper, we consider the problem of approximately aligning/matching two graphs. Given two graphs and , the objective is to map node…

cs.NI2017★ 2 cited

Decentralized Trajectory Tracking Using Homology and Hodge Decomposition in Sensor Networks

Xiaotian Yin, Yu-Yao Lin, Chien-Chun Ni +5

With the recent development of localization and tracking systems for both indoor and outdoor settings, we consider the problem of sensing, representing and analyzing human movement…

cs.RO2017

Robot Coverage Path Planning for General Surfaces Using Quadratic Differentials

Yu-Yao Lin, Chien-Chun Ni, Na Lei +2

Robot Coverage Path planning (i.e., provide full coverage of a given domain by one or multiple robots) is a classical problem in the field of robotics and motion planning. The goal…

cs.NI2016

Capacitated Kinetic Clustering in Mobile Networks by Optimal Transportation Theory

Chien-Chun Ni, Zhengyu Su, Jie Gao +1

We consider the problem of capacitated kinetic clustering in which mobile terminals and base stations with respective operating capacities are given. The task is to assign…

cs.CG2015★ 3 cited

Space Filling Curves for 3D Sensor Networks with Complex Topology

Mayank Goswami, Siming Li, Junwei Zhang +3

Several aspects of managing a sensor network (e.g., motion planning for data mules, serial data fusion and inference) benefit once the network is linearized to a path. The lineariz…

cs.CG2015★ 1 cited

Stable Delaunay Graphs

Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas +3

Let be a set of points in , and let denote its Euclidean Delaunay triangulation. We introduce the notion of an edge of being…

cs.SI2015★ 19 cited

Ricci Curvature of the Internet Topology

Chien-Chun Ni, Yu-Yao Lin, Jie Gao +2

Analysis of Internet topologies has shown that the Internet topology has negative curvature, measured by Gromov's "thin triangle condition", which is tightly related to core conges…

cs.DS2014

Complex Contagions in Kleinberg's Small World Model

Roozbeh Ebrahimi, Jie Gao, Golnaz Ghasemiesfeh +1

Complex contagions describe diffusion of behaviors in a social network in settings where spreading requires the influence by two or more neighbors. In a -complex contagion, a cl…

cs.SI2014★ 6 cited

How Complex Contagions Spread Quickly in the Preferential Attachment Model and Other Time-Evolving Networks

Roozbeh Ebrahimi, Jie Gao, Golnaz Ghasemiesfeh +1

In this paper, we study the spreading speed of complex contagions in a social network. A -complex contagion starts from a set of initially infected seeds such that any node with…

cs.CG2013

A Variational Principle for Improving 2D Triangle Meshes based on Hyperbolic Volume

Jian Sun, Wei Chen, Junhui Deng +3

In this paper, we consider the problem of improving 2D triangle meshes tessellating planar regions. We propose a new variational principle for improving 2D triangle meshes where th…

cs.CG2011★ 1 cited

Kinetic Stable Delaunay Graphs

Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas +4

We consider the problem of maintaining the Euclidean Delaunay triangulation $\DT$ of a set of moving points in the plane, along algebraic trajectories of constant descripti…

cs.CG2009

The Emergence of Sparse Spanners and Greedy Well-Separated Pair Decomposition

Jie Gao, Dengpan Zhou

A spanner graph on a set of points in contains a shortest path between any pair of points with length at most a constant factor of their Euclidean distance. In this paper we…