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We consider the problem of finding a 1-planar drawing for a general graph, where a 1-planar drawing is a drawing in which each edge participates in at most one crossing. Since this problem is known to be NP-hard we investigate the…

Data Structures and Algorithms · Computer Science 2018-12-18 Michael J. Bannister , Sergio Cabello , David Eppstein

Probably Approximately Correct (i.e., PAC) learning is a core concept of sample complexity theory, and efficient PAC learnability is often seen as a natural counterpart to the class P in classical computational complexity. But while the…

Computational Complexity · Computer Science 2023-04-28 Cornelius Brand , Robert Ganian , Kirill Simonov

We study fundamental clustering problems for incomplete data. Specifically, given a set of incomplete d-dimensional vectors (representing rows of a matrix), the goal is to complete the missing vector entries in a way that admits a…

Data Structures and Algorithms · Computer Science 2021-04-08 Eduard Eiben , Robert Ganian , Iyad Kanj , Sebastian Ordyniak , Stefan Szeider

We initiate a study of algorithms with a focus on the computational complexity of individual elements, and introduce the fragile complexity of comparison-based algorithms as the maximal number of comparisons any individual element takes…

Data Structures and Algorithms · Computer Science 2019-09-04 Peyman Afshani , Rolf Fagerberg , David Hammer , Riko Jacob , Irina Kostitsyna , Ulrich Meyer , Manuel Penschuck , Nodari Sitchinava

The concept of edge caching provision in emerging 5G and beyond mobile networks is a promising method to deal both with the traffic congestion problem in the core network as well as reducing latency to access popular content. In that…

Networking and Internet Architecture · Computer Science 2023-11-15 Yantong Wang , Vasilis Friderikos

We study the classical problem of computing geometric thickness, i.e., finding a straight-line drawing of an input graph and a partition of its edges into as few parts as possible so that each part is crossing-free. Since the problem is…

Computational Complexity · Computer Science 2024-11-26 Thomas Depian , Simon Dominik Fink , Alexander Firbas , Robert Ganian , Martin Nöllenburg

This work studies a well-known shared-cache coded caching scenario where each cache can serve an arbitrary number of users, analyzing the case where there is some knowledge about such number of users (i.e., the topology) during the content…

Information Theory · Computer Science 2023-02-21 Emanuele Parrinello , Antonio Bazco-Nogueras , Petros Elia

Content caching at the edge of network is a promising technique to alleviate the burden of backhaul networks. In this paper, we consider content caching along time in a base station with limited cache capacity. As the popularity of contents…

Networking and Internet Architecture · Computer Science 2020-01-14 Ghafour Ahani , Di Yuan

This paper has the following ambitious goal: to convince the reader that content caching is an exciting research topic for the future communication systems and networks. Caching has been studied for more than 40 years, and has recently…

Networking and Internet Architecture · Computer Science 2018-05-31 Georgios S. Paschos , George Iosifidis , Meixia Tao , Don Towsley , Giuseppe Caire

Information-centric networking extensively uses universal in-network caching. However, developing an efficient and fair collaborative caching algorithm for selfish caches is still an open question. In addition, the communication overhead…

Networking and Internet Architecture · Computer Science 2017-05-03 Liang Wang , Gareth Tyson , Jussi Kangasharju , Jon Crowcroft

This paper comprehensively studies a content-centric mobile network based on a preference learning framework, where each mobile user is equipped with a finite-size cache. We consider a practical scenario where each user requests a content…

Networking and Internet Architecture · Computer Science 2020-02-21 Adeel Malik , Joongheon Kim , Kwang Soon Kim , Won-Yong Shin

We argue that parameterized complexity is a useful tool with which to study global constraints. In particular, we show that many global constraints which are intractable to propagate completely have natural parameters which make them…

Artificial Intelligence · Computer Science 2009-03-04 Christian Bessiere , Emmanuel Hebrard , Brahim Hnich , Zeynep Kiziltan , Toby Walsh

Caching is a technique to reduce peak traffic rates by prefetching popular content into memories at the end users. Conventionally, these memories are used to deliver requested content in part from a locally cached copy rather than through…

Information Theory · Computer Science 2014-05-06 Mohammad Ali Maddah-Ali , Urs Niesen

We consider the following natural graph cut problem called Critical Node Cut (CNC): Given a graph $G$ on $n$ vertices, and two positive integers $k$ and $x$, determine whether $G$ has a set of $k$ vertices whose removal leaves $G$ with at…

Data Structures and Algorithms · Computer Science 2015-06-30 Danny Hermelin , Moshe Kaspi , Christian Komusiewicz , Barak Navon

Combining the techniques of approximation algorithms and parameterized complexity has long been considered a promising research area, but relatively few results are currently known. In this paper we study the parameterized approximability…

Data Structures and Algorithms · Computer Science 2014-02-18 Michael Lampis

We study an extensive class of movement minimization problems which arise from many practical scenarios but so far have little theoretical study. In general, these problems involve planning the coordinated motion of a collection of agents…

Data Structures and Algorithms · Computer Science 2015-03-20 Erik D. Demaine , MohammadTaghi Hajiaghayi , Dániel Marx

Optimal caching of files in a content distribution network (CDN) is a problem of fundamental and growing commercial interest. Although many different caching algorithms are in use today, the fundamental performance limits of network caching…

Information Theory · Computer Science 2020-04-01 Rajarshi Bhattacharjee , Subhankar Banerjee , Abhishek Sinha

This chapter compiles a number of results that apply the theory of parameterized algorithmics to the running-time analysis of randomized search heuristics such as evolutionary algorithms. The parameterized approach articulates the running…

Neural and Evolutionary Computing · Computer Science 2020-01-16 Frank Neumann , Andrew M. Sutton

Network cache allocation and management are important aspects of the design of an Information-Centric Network (ICN), such as one based on Named Data Networking (NDN). We address the problem of optimal cache size allocation and content…

Optimization and Control · Mathematics 2021-05-13 Van Sy Mai , Stratis Ioannidis , Davide Pesavento , Lotfi Benmohamed

Nowadays computer networks use different kind of memory whose speeds and capacities vary widely. There exist methods of a so-called caching which are intended to use the different kinds of memory in such a way that the frequently used data…

Information Theory · Computer Science 2013-10-15 Boris Ryabko