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We study the computational complexity of finding fair allocations of indivisible goods in the setting where a social network on the agents is given. Notions of fairness in this context are "localized", that is, agents are only concerned…

Computer Science and Game Theory · Computer Science 2021-11-24 Neeldhara Misra , Debanuj Nayak

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 study the existence of allocations of indivisible goods that are envy-free up to one good (EF1), under the additional constraint that each bundle needs to be connected in an underlying item graph. If the graph is a path and the utility…

Computer Science and Game Theory · Computer Science 2022-05-23 Vittorio Bilò , Ioannis Caragiannis , Michele Flammini , Ayumi Igarashi , Gianpiero Monaco , Dominik Peters , Cosimo Vinci , William S. Zwicker

The classical cake cutting problem studies how to find fair allocations of a heterogeneous and divisible resource among multiple agents. Two of the most commonly studied fairness concepts in cake cutting are proportionality and…

Data Structures and Algorithms · Computer Science 2019-07-15 Xiaohui Bei , Xiaoming Sun , Hao Wu , Jialin Zhang , Zhijie Zhang , Wei Zi

Cake cutting is a classic model for studying fair division of a heterogeneous, divisible resource among agents with individual preferences. Addressing cake division under a typical requirement that each agent must receive a connected piece…

Computer Science and Game Theory · Computer Science 2023-04-28 Siddharth Barman , Pooja Kulkarni

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…

Data Structures and Algorithms · Computer Science 2026-04-02 Mahsa Derakhshan , Tao Yu

Many resource allocation problems in the cloud can be described as a basic Virtual Network Embedding Problem (VNEP): finding mappings of request graphs (describing the workloads) onto a substrate graph (describing the physical…

Networking and Internet Architecture · Computer Science 2018-03-14 Matthias Rost , Stefan Schmid

We study the problem of Envy-Free Incomplete Connected Fair Division, where exactly p vertices of an undirected graph must be allocated to agents such that each agent receives a connected share and does not envy another agent's share.…

Data Structures and Algorithms · Computer Science 2025-12-30 Ajaykrishnan E S , Daniel Lokshtanov

We consider the unit-demand envy-free pricing problem, which is a unit-demand auction where each bidder receives an item that maximizes his utility, and the goal is to maximize the auctioneer's profit. This problem is NP-hard and unlikely…

Computer Science and Game Theory · Computer Science 2013-10-02 Cristina G. Fernandes , Carlos E. Ferreira , Álvaro J. P. Franco , Rafael C. S. Schouery

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

Optimization and Control · Mathematics 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

We study the $b$-matching problem in bipartite graphs $G=(S,R,E)$. Each vertex $s\in S$ is a server with individual capacity $b_s$. The vertices $r\in R$ are requests that arrive online and must be assigned instantly to an eligible server.…

Data Structures and Algorithms · Computer Science 2022-07-01 Susanne Albers , Sebastian Schubert

Vehicular cloud computing has emerged as a promising solution to fulfill users' demands on processing computation-intensive applications in modern driving environments. Such applications are commonly represented by graphs consisting of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-09 Zhibin Gao , Minghui LiWang , Seyyedali Hosseinalipour , Huaiyu Dai , Xianbin Wang

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

We introduce a class of budgeted prize-collecting covering subgraph problems. For an input graph with prizes on the vertices and costs on the edges, the aim of these problems is to find a connected subgraph such that the cost of its edges…

Optimization and Control · Mathematics 2021-08-05 Nicola Morandi , Roel Leus , Hande Yaman

Online Resource Allocation addresses the problem of efficiently allocating limited resources to buyers with incomplete knowledge of future requests. In our setting, buyers arrive sequentially requesting a set of items, each with a value…

Computer Science and Game Theory · Computer Science 2026-02-11 Dimitris Fotakis , Charalampos Platanos , Thanos Tolias

We consider ordinal approximation algorithms for a broad class of utility maximization problems for multi-agent systems. In these problems, agents have utilities for connecting to each other, and the goal is to compute a maximum-utility…

Multiagent Systems · Computer Science 2017-11-30 Ben Abramowitz , Elliot Anshelevich

We revisit the setting of fair allocation of indivisible items among agents with heterogeneous, non-monotone valuations. We explore the existence and efficient computation of allocations that approximately satisfy either envy-freeness or…

Computer Science and Game Theory · Computer Science 2025-10-09 Vittorio Bilò , Martin Loebl , Cosimo Vinci

We study the problem of fairly allocating $m$ indivisible goods to $n$ agents, where agents may have different preferences over the goods. In the traditional setting, agents' valuations are provided as inputs to the algorithm. In this…

Computer Science and Game Theory · Computer Science 2025-08-05 Xiaolin Bu , Zihao Li , Shengxin Liu , Jiaxin Song , Biaoshuai Tao

Fair division has emerged as a very hot topic in multiagent systems, and envy-freeness is among the most compelling fairness concepts. An allocation of indivisible items to agents is envy-free if no agent prefers the bundle of any other…

Computer Science and Game Theory · Computer Science 2021-02-26 Ioannis Caragiannis , Stavros Ioannidis

The common way to optimize auction and pricing systems is to set aside a small fraction of the traffic to run experiments. This leads to the question: how can we learn the most with the smallest amount of data? For truthful auctions, this…

Computer Science and Game Theory · Computer Science 2021-11-09 Renato Paes Leme , Balasubramanian Sivan , Yifeng Teng , Pratik Worah