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We reformulate the definition of privacy in the private information retrieval (PIR) problem to accommodate flexible privacy requirements. We focus on graph-replicated PIR, with a generalized privacy requirement, instead of requiring all…

信息论 · 计算机科学 2026-05-12 Mohamed Nomeir , Shreya Meel , Sennur Ulukus

Random planar graphs have been the subject of much recent work. Many basic properties of the standard uniform random planar graph P_{n}, by which we mean a graph chosen uniformly at random from the set of all planar graphs with vertex set…

组合数学 · 数学 2013-07-23 Chris Dowden

We propose a simple and optimal algorithm, BackMC, for local PageRank estimation in undirected graphs: given an arbitrary target node $t$ in an undirected graph $G$ comprising $n$ nodes and $m$ edges, BackMC accurately estimates the…

数据结构与算法 · 计算机科学 2024-09-16 Hanzhi Wang

Driven by many real applications, we study the problem of seeded graph matching. Given two graphs $G_1 = (V_1, E_1)$ and $G_2 = (V_2, E_2)$, and a small set $S$ of pre-matched node pairs $[u, v]$ where $u \in V_1$ and $v \in V_2$, the…

数据结构与算法 · 计算机科学 2018-10-29 Haida Zhang , Zengfeng Huang , Xuemin Lin , Zhe Lin , Wenjie Zhang , Ying Zhang

We describe a polynomial-time algorithm which, given a graph $G$ with treewidth $t$, approximates the pathwidth of $G$ to within a ratio of $O(t\sqrt{\log t})$. This is the first algorithm to achieve an $f(t)$-approximation for some…

数据结构与算法 · 计算机科学 2023-03-13 Carla Groenland , Gwenaël Joret , Wojciech Nadara , Bartosz Walczak

The PageRank is a widely used scoring function of networks in general and of the World Wide Web graph in particular. The PageRank is defined for directed graphs, but in some special cases applications for undirected graphs occur. In the…

数据结构与算法 · 计算机科学 2017-02-09 Vince Grolmusz

Personalized Route Recommendation (PRR) aims to generate user-specific route suggestions in response to users' route queries. Early studies cast the PRR task as a pathfinding problem on graphs, and adopt adapted search algorithms by…

人工智能 · 计算机科学 2019-07-22 Jingyuan Wang , Ning Wu , Wayne Xin Zhao , Fanzhang Peng , Xin Lin

Assessing the fidelity and diversity of the generative model is a difficult but important issue for technological advancement. So, recent papers have introduced k-Nearest Neighbor ($k$NN) based precision-recall metrics to break down the…

机器学习 · 计算机科学 2024-01-25 Dogyun Park , Suhyun Kim

Motivated by applications in the gig economy, we study approximation algorithms for a \emph{sequential pricing problem}. The input is a bipartite graph $G=(I,J,E)$ between individuals $I$ and jobs $J$. The platform has a value of $v_j$ for…

数据结构与算法 · 计算机科学 2022-05-19 Tristan Pollner , Mohammad Roghani , Amin Saberi , David Wajc

The task of a personalization system is to recommend items or a set of items according to the users' taste, and thus predicting their future needs. In this paper, we address such personalized recommendation problems for which one-bit…

信息检索 · 计算机科学 2022-08-10 Aria Ameri , Arindam Bose , Mojtaba Soltanalian

Graph alignment aims at finding the vertex correspondence between two correlated graphs, a task that frequently occurs in graph mining applications such as social network analysis. Attributed graph alignment is a variant of graph alignment,…

数据结构与算法 · 计算机科学 2024-03-13 Ziao Wang , Ning Zhang , Weina Wang , Lele Wang

The network alignment problem asks for the best correspondence between two given graphs, so that the largest possible number of edges are matched. This problem appears in many scientific problems (like the study of protein-protein…

统计计算 · 统计学 2017-07-18 Efe Onaran , Soledad Villar

Given a graph $G$ with $n$ nodes and two nodes $u,v\in G$, the {\em CoSimRank} value $s(u,v)$ quantifies the similarity between $u$ and $v$ based on graph topology. Compared to SimRank, CoSimRank is shown to be more accurate and effective…

社会与信息网络 · 计算机科学 2024-02-21 Renchi Yang , Xiaokui Xiao

The average distance from a node to all other nodes in a graph, or from a query point in a metric space to a set of points, is a fundamental quantity in data analysis. The inverse of the average distance, known as the (classic) closeness…

社会与信息网络 · 计算机科学 2015-06-29 Shiri Chechik , Edith Cohen , Haim Kaplan

Given a graph with a source vertex $s$, the Single Source Replacement Paths (SSRP) problem is to compute, for every vertex $t$ and edge $e$, the length $d(s,t,e)$ of a shortest path from $s$ to $t$ that avoids $e$. A Single-Source Distance…

数据结构与算法 · 计算机科学 2021-07-01 Davide Bilò , Sarel Cohen , Tobias Friedrich , Martin Schirneck

An st-shortest path, or st-path for short, in a graph G is a shortest (induced) path from s to t in G. Two st-paths are said to be adjacent if they differ on exactly one vertex. A reconfiguration sequence between two st-paths P and Q is a…

计算复杂性 · 计算机科学 2024-06-19 Nicolas Bousquet , Kshitij Gajjar , Abhiruk Lahiri , Amer E. Mouawad

We study a general class of PageRank optimization problems which consist in finding an optimal outlink strategy for a web site subject to design constraints. We consider both a continuous problem, in which one can choose the intensity of a…

最优化与控制 · 数学 2016-01-08 Olivier Fercoq , Marianne Akian , Mustapha Bouhtou , Stéphane Gaubert

Randomized greedy algorithms form one of the simplest yet most effective approaches for computing approximate matchings in graphs. In this paper, we focus on the class of vertex-iterative (VI) randomized greedy matching algorithms, which…

数据结构与算法 · 计算机科学 2026-04-02 Mahsa Derakhshan , Tao Yu

Differential privacy (DP) is a rigorous framework that protects the participation of individuals in a dataset by limiting information leakage from released estimators. This creates a challenging setting for statisticians: DP must hold…

统计方法学 · 统计学 2026-05-06 Tao Shen , Xin T. Tong , Wanjie Wang

This paper describes the first results obtained by implementing a novel approach to rank vertices in a heterogeneous graph, based on the PageRank family of algorithms and applied here to the bipartite graph of papers and authors as a first…

数字图书馆 · 计算机科学 2012-05-30 Gerard Burnside , Dohy Hong , Son Nguyen-Kim , Liang Liu