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Color-constrained subgraph problems are those where we are given an edge-colored (directed or undirected) graph and the task is to find a specific type of subgraph, like a spanning tree, an arborescence, a single-source shortest path tree,…

Data Structures and Algorithms · Computer Science 2024-07-24 P. S. Ardra , Jasine Babu , Kritika Kashyap , R. Krithika , Sreejith K. Pallathumadam , Deepak Rajendraprasad

In single channel wireless networks, concurrent transmission at different links may interfere with each other. To improve system throughput, a scheduling algorithm is necessary to choose a subset of links at each time slot for data…

Combinatorics · Mathematics 2012-10-30 Ali Ghiasian , Behnaz Omoomi , Hossein Saidi

Capacitated Domination generalizes the classic Dominating Set problem by specifying for each vertex a required demand and an available capacity for covering demand in its closed neighborhood. The objective is to find a minimum-sized set of…

Data Structures and Algorithms · Computer Science 2016-04-19 Amariah Becker

We consider the following node-capacitated network design problem. The input is an undirected graph, set of demands, uniform node capacity and arbitrary node costs. The goal is to find a minimum node-cost subgraph that supports all demands…

Data Structures and Algorithms · Computer Science 2024-03-12 Ravishankar Krishnaswamy , Viswanath Nagarajan , Kirk Pruhs , Cliff Stein

This article focuses on a biobjective extension of the maximum flow network interdiction problem, where each arc in the network is associated with two capacity values. Two maximum flows from a source to a sink are to be computed…

Combinatorics · Mathematics 2020-10-09 Luca E. Schäfer , Stefan Ruzika , Sven O. Krumke , Carlos M. Fonseca

Graph coloring, a classical and critical NP-hard problem, is the problem of assigning connected nodes as different colors as possible. However, we observe that state-of-the-art GNNs are less successful in the graph coloring problem. We…

Machine Learning · Computer Science 2022-08-22 Wei Li , Ruxuan Li , Yuzhe Ma , Siu On Chan , David Pan , Bei Yu

This work considers the multiple-access multicast error-correction scenario over a packetized network with $z$ malicious edge adversaries. The network has min-cut $m$ and packets of length $\ell$, and each sink demands all information from…

We study a general class of bicriteria network design problems. A generic problem in this class is as follows: Given an undirected graph and two minimization objectives (under different cost functions), with a budget specified on the first,…

Computational Complexity · Computer Science 2019-08-17 Madhav V. Marathe , R. Ravi , Ravi Sundaram , S. S. Ravi , Daniel J. Rosenkrantz , Harry B. Hunt

Many decision-making problems in engineering applications such as transportation, power system and operations research require repeatedly solving large-scale linear programming problems with a large number of different inputs. For example,…

Optimization and Control · Mathematics 2020-06-11 Yize Chen , Baosen Zhang

Coflow is a network abstraction used to represent communication patterns in data centers. The coflow scheduling problem in large data centers is one of the most important $NP$-hard problems. Many previous studies on coflow scheduling mainly…

Data Structures and Algorithms · Computer Science 2023-08-31 Chi-Yeh Chen

In this paper, we propose a solution to the distributed topology formation problem for large-scale sensor networks with multi-source multicast flows. The proposed solution is based on game-theoretic approaches in conjunction with network…

Computer Science and Game Theory · Computer Science 2019-07-24 Minhae Kwon , Hyunggon Park

Multi-view learning has progressed rapidly in recent years. Although many previous studies assume that each instance appears in all views, it is common in real-world applications for instances to be missing from some views, resulting in…

Machine Learning · Computer Science 2022-08-30 Pengfei Zhu , Xinjie Yao , Yu Wang , Meng Cao , Binyuan Hui , Shuai Zhao , Qinghua Hu

This paper investigates the problem of secure communication in a wireline noiseless scenario where a source wishes to communicate to a number of destinations in the presence of a passive external adversary. Different from the multicast…

Information Theory · Computer Science 2019-01-10 Gaurav Kumar Agarwal , Martina Cardone , Christina Fragouli

Insufficiency of linear coding for the network coding problem was first proved by providing an instance which is solvable only by nonlinear network coding (Dougherty et al., 2005).Based on the work of Effros, et al., 2015, this specific…

Information Theory · Computer Science 2023-02-07 Arman Sharififar , Parastoo Sadeghi , Neda Aboutorab

Nonuniformity is a central concept in computational complexity with powerful connections to circuit complexity and randomness. Nonuniform reductions have been used to study the isomorphism conjecture for NP and completeness for larger…

Computational Complexity · Computer Science 2018-01-19 John M. Hitchcock , Hadi Shafei

The problem of minimizing the number of bidirectional SONET rings required to support a given traffic demand has been studied by several researchers. Here we study the related ``ring grooming problem'' of minimizing the number of add/drop…

Optimization and Control · Mathematics 2007-05-23 Timothy Y. Chow , Philip J. Lin

In this study, we consider a quantum version of multicast network coding as a multicast protocol for sending universal quantum clones (UQCs) from a source node to the target nodes on a quantum network. By extending Owari et al.'s previous…

Quantum Physics · Physics 2022-06-23 Yuichi Hirota , Masaki Owari

In a polydiagonal subspace of the Euclidean space, certain components of the vectors are equal (synchrony) or opposite (anti-synchrony). Polydiagonal subspaces invariant under a matrix have many applications in graph theory and dynamical…

Dynamical Systems · Mathematics 2024-12-16 John M. Neuberger , Nándor Sieben , James W. Swift

Subgraph complementation is an operation that toggles all adjacencies inside a selected vertex set. Given a graph \(G\) and a target class \(\mathcal{C}\), the Minimum Subgraph Complementation problem asks for a minimum-size vertex set…

Data Structures and Algorithms · Computer Science 2025-12-30 Juan Gutiérrez , Sagartanu Pal

Clique-width is a well-studied graph parameter. For graphs of bounded clique-width, many problems that are NP-hard in general can be polynomial-time solvable. The fact motivates several studies to investigate whether the clique-width of…

Data Structures and Algorithms · Computer Science 2022-02-01 Yu Nakahata