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We study the classic problem of \emph{fairly} dividing a heterogeneous and divisible resource -- modeled as a line segment $[0,1]$ and typically called as a \emph{cake} -- among $n$ agents. This work considers an interesting variant of the…

Computer Science and Game Theory · Computer Science 2022-11-15 Ganesh Ghalme , Xin Huang , Yuka Machino , Nidhi Rathi

Decisions suggested by improperly designed software systems might be prone to discriminate against people based on protected characteristics, such as gender and ethnicity. Previous studies attribute such undesired behavior to flaws in…

Software Engineering · Computer Science 2025-09-26 Qusai Ramadan , Jukka Ruohonen , Abhishek Tiwari , Adam Alami , Zeyd Boukhers

We study the problem of generating graphs with prescribed degree sequences for bipartite, directed, and undirected networks. We first propose a sequential method for bipartite graph generation and establish a necessary and sufficient…

Methodology · Statistics 2026-03-13 Tong Sun , Jianshu Hao , Michael C. Fu , Guangxin Jiang

In this paper, matching pairs of stocahstically generated graphs in the presence of generalized seed side-information is considered. The graph matching problem emerges naturally in various applications such as social network…

Information Theory · Computer Science 2021-02-15 Mahshad Shariatnasab , Farhad Shirani , Siddharth Garg , Elza Erkip

We study the classic problem of fairly dividing a heterogeneous and divisible resource -- represented by a cake, $[0,1]$ -- among $n$ agents. This work considers an interesting variant of the problem where agents are embedded on a graph.…

Computer Science and Game Theory · Computer Science 2022-11-16 Ganesh Ghalme , Xin Huang , Nidhi Rathi

We give lower bounds on the communication complexity of graph problems in the multi-party blackboard model. In this model, the edges of an $n$-vertex input graph are partitioned among $k$ parties, who communicate solely by writing messages…

Data Structures and Algorithms · Computer Science 2021-03-15 Christian Konrad , Peter Robinson , Viktor Zamaraev

In the population protocol model, many problems cannot be solved in a self-stabilizing way. However, global knowledge, such as the number of nodes in a network, sometimes allows us to design a self-stabilizing protocol for such problems. In…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-25 Yuichi Sudo , Masahiro Shibata , Junya Nakamura , Yonghwan Kim , Toshimitsu Masuzawa

Dense subgraph discovery methods are routinely used in a variety of applications including the identification of a team of skilled individuals for collaboration from a social network. However, when the network's node set is associated with…

Social and Information Networks · Computer Science 2023-06-06 Atsushi Miyauchi , Tianyi Chen , Konstantinos Sotiropoulos , Charalampos E. Tsourakakis

Graphs may be used to represent many different problem domains -- a concrete example is that of detecting communities in social networks, which are represented as graphs. With big data and more sophisticated applications becoming widespread…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-03 Miguel E. Coimbra , Alexandre P. Francisco , Luis Veiga

When approaching graph signal processing tasks, graphs are usually assumed to be perfectly known. However, in many practical applications, the observed (inferred) network is prone to perturbations which, if ignored, will hinder performance.…

Signal Processing · Electrical Eng. & Systems 2021-03-11 Samuel Rey , Antonio G. Marques

Electric, intelligent, and network are the most important future development directions of automobiles. Intelligent electric vehicles have shown great potentials to improve traffic mobility and reduce emissions, especially at unsignalized…

Optimization and Control · Mathematics 2021-04-12 Chaoyi Chen , Qing Xu , Mengchi Cai , Jiawei Wang , Biao Xu , Xiangbin Wu , Jianqiang Wang , Keqiang Li , Chunyu Qi

Graph clustering plays a pivotal role in unsupervised learning methods like spectral clustering, yet traditional methods for graph clustering often perpetuate bias through unfair graph constructions that may underrepresent some groups. The…

Machine Learning · Computer Science 2025-12-11 Adithya K Moorthy , V Vijaya Saradhi , Bhanu Prasad

This paper revisits the problem of multi-agent consensus from a graph signal processing perspective. Describing a consensus protocol as a graph spectrum filter, we present an effective new approach to the analysis and design of consensus…

Systems and Control · Computer Science 2018-08-07 Jingwen Yi , Li Chai , Jingxin Zhang

We introduce the concept of link-irregular labelings for graphs, extending the notion of link-irregular graphs through edge labeling with positive integers. A labeling is link-irregular if every vertex has a uniquely labeled subgraph…

Combinatorics · Mathematics 2025-07-01 Alexander Bastien , Omid Khormali

Graph-based classification methods are widely used for security and privacy analytics. Roughly speaking, graph-based classification methods include collective classification and graph neural network. Evading a graph-based classification…

Cryptography and Security · Computer Science 2019-08-14 Binghui Wang , Neil Zhenqiang Gong

Graph Identification (GI) has long been researched in graph learning and is essential in certain applications (e.g. social community detection). Specifically, GI requires to predict the label/score of a target graph given its collection of…

Machine Learning · Computer Science 2020-07-14 Tian Bian , Xi Xiao , Tingyang Xu , Yu Rong , Wenbing Huang , Peilin Zhao , Junzhou Huang

Many security and privacy problems can be modeled as a graph classification problem, where nodes in the graph are classified by collective classification simultaneously. State-of-the-art collective classification methods for such…

Cryptography and Security · Computer Science 2020-05-28 Binghui Wang , Jinyuan Jia , Neil Zhenqiang Gong

We consider the classical cake-cutting problem where we wish to fairly divide a heterogeneous resource, often modeled as a cake, among interested agents. Work on the subject typically assumes that the cake is represented by an interval. In…

Computer Science and Game Theory · Computer Science 2025-05-02 Xiaohui Bei , Warut Suksompong

Let $\mbox{interval} + k v$, $\mbox{interval} + k e$, and $\mbox{interval} - k e$ denote the classes of graphs that can be obtained from some interval graph by adding $k$ vertices, adding $k$ edges, and deleting $k$ edges, respectively.…

Discrete Mathematics · Computer Science 2014-10-10 Yixin Cao

Fueled by algorithmic advances, AI algorithms are increasingly being deployed in settings subject to unanticipated challenges with complex social effects. Motivated by real-world deployment of AI driven, social-network based suicide…

Optimization and Control · Mathematics 2020-06-15 Aida Rahmattalabi , Phebe Vayanos , Anthony Fulginiti , Eric Rice , Bryan Wilder , Amulya Yadav , Milind Tambe