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20002026
most citedReview article: Linear optical quantum computing

2.9k citations

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62 papers · 1 filter

cs.DS2024

Enumerating Graphlets with Amortized Time Complexity Independent of Graph Size

Alessio Conte, Roberto Grossi, Yasuaki Kobayashi +4

Graphlets of order in a graph are connected subgraphs induced by nodes (called -graphlets) or by edges (called edge -graphlets). They are among the interestin…

cs.DS2024

Output-Sensitive Enumeration of Potential Maximal Cliques in Polynomial Space

Caroline Brosse, Alessio Conte, Vincent Limouzy +2

A set of vertices in a graph forms a potential maximal clique if there exists a minimal chordal completion in which it is a maximal clique. Potential maximal cliques were first int…

cs.DS2023★ 4 cited

The Secretary Problem with Predictions

Kaito Fujii, Yuichi Yoshida

The value maximization version of the secretary problem is the problem of hiring a candidate with the largest value from a randomly ordered sequence of candidates. In this work, we…

cs.DS2022★ 2 cited

Fixed-parameter tractability of Directed Multicut with three terminal pairs parameterized by the size of the cutset: twin-width meets flow-augmentation

Meike Hatzel, Lars Jaffke, Paloma T. Lima +4

We show fixed-parameter tractability of the Directed Multicut problem with three terminal pairs (with a randomized algorithm). This problem, given a directed graph , pairs of ve…

cs.DS2021

Online Risk-Averse Submodular Maximization

Tasuku Soma, Yuichi Yoshida

We present a polynomial-time online algorithm for maximizing the conditional value at risk (CVaR) of a monotone stochastic submodular function. Given i.i.d. samples from an und…

cs.DS2021★ 2 cited

Constant Amortized Time Enumeration of Eulerian trails

Kazuhiro Kurita, Kunihiro Wasa

In this paper, we consider enumeration problems for edge-distinct and vertex-distinct Eulerian trails. Here, two Eulerian trails are \emph{edge-distinct} if the edge sequences are…

cs.DS2020★ 1 cited

Towards Tight Bounds for Spectral Sparsification of Hypergraphs

Michael Kapralov, Robert Krauthgamer, Jakab Tardos +1

Cut and spectral sparsification of graphs have numerous applications, including e.g. speeding up algorithms for cuts and Laplacian solvers. These powerful notions have recently bee…

cs.DS2020

Sensitivity Analysis of Submodular Function Maximization

Conor McMeel, Yuichi Yoshida

We study the recently introduced idea of worst-case sensitivity for monotone submodular maximization with cardinality constraint , which captures the degree to which the output…

cs.DS2020★ 2 cited

Sensitivity Analysis of the Maximum Matching Problem

Yuichi Yoshida, Samson Zhou

We consider the sensitivity of algorithms for the maximum matching problem against edge and vertex modifications. Algorithms with low sensitivity are desirable because they are rob…

cs.DS2020

Finding Diverse Trees, Paths, and More

Tesshu Hanaka, Yasuaki Kobayashi, Kazuhiro Kurita +1

Mathematical modeling is a standard approach to solve many real-world problems and {\em diversity} of solutions is an important issue, emerging in applying solutions obtained from…

cs.DS2020★ 1 cited

Efficient Enumerations for Minimal Multicuts and Multiway Cuts

Kazuhiro Kurita, Yasuaki Kobayashi

Let be an undirected graph and let be a set of terminal pairs. A node/edge multicut is a subset of vertices/edges of whose removal destroy…

cs.DS2020★ 5 cited

Fast and Private Submodular and -Submodular Functions Maximization with Matroid Constraints

Akbar Rafiey, Yuichi Yoshida

The problem of maximizing nonnegative monotone submodular functions under a certain constraint has been intensively studied in the last decade, and a wide range of efficient approx…

cs.DS2020★ 41 cited

Hypergraph Clustering Based on PageRank

Yuuki Takai, Atsushi Miyauchi, Masahiro Ikeda +1

A hypergraph is a useful combinatorial object to model ternary or higher-order relations among entities. Clustering hypergraphs is a fundamental task in network analysis. In this s…

cs.DS2020

Average Sensitivity of Spectral Clustering

Pan Peng, Yuichi Yoshida

Spectral clustering is one of the most popular clustering methods for finding clusters in a graph, which has found many applications in data mining. However, the input graph in tho…

cs.DS2020

Approximation Guarantees of Local Search Algorithms via Localizability of Set Functions

Kaito Fujii

This paper proposes a new framework for providing approximation guarantees of local search algorithms. Local search is a basic algorithm design technique and is widely used for var…

cs.DS2020★ 1 cited

Computational Aspects of Geometric Algebra Products of Two Homogeneous Multivectors

Stephane Breuils, Vincent Nozick, Akihiro Sugimoto

Studies on time and memory costs of products in geometric algebra have been limited to cases where multivectors with multiple grades have only non-zero elements. This allows to des…

cs.DS2019★ 2 cited

Constant Amortized Time Enumeration of Independent Sets for Graphs with Bounded Clique Number

Kazuhiro Kurita, Kunihiro Wasa, Hiroki Arimura +1

In this study, we address the independent set enumeration problem. Although several efficient enumeration algorithms and careful analyses have been proposed for maximal independent…

cs.DS2019★ 5 cited

Improved Analysis of Highest-Degree Branching for Feedback Vertex Set

Yoichi Iwata, Yusuke Kobayashi

Recent empirical evaluations of exact algorithms for Feedback Vertex Set have demonstrated the efficiency of a highest-degree branching algorithm with a degree-based pruning heuris…

cs.DS2019★ 1 cited

The Perfect Matching Reconfiguration Problem

Marthe Bonamy, Nicolas Bousquet, Marc Heinrich +5

We study the perfect matching reconfiguration problem: Given two perfect matchings of a graph, is there a sequence of flip operations that transforms one into the other? Here, a fl…

cs.DS2019

An Efficient Algorithm for Enumerating Chordal Bipartite Induced Subgraphs in Sparse Graphs

Kazuhiro Kurita, Kunihiro Wasa, Hiroki Arimura +1

In this paper, we propose a characterization of chordal bipartite graphs and an efficient enumeration algorithm for chordal bipartite induced subgraphs. A chordal bipartite graph i…

cs.DS2018★ 3 cited

Finding Cheeger Cuts in Hypergraphs via Heat Equation

Masahiro Ikeda, Atsushi Miyauchi, Yuuki Takai +1

Cheeger's inequality states that a tightly connected subset can be extracted from a graph using an eigenvector of the normalized Laplacian associated with . More specificall…

cs.DS2018

Spectral Sparsification of Hypergraphs

Tasuku Soma, Yuichi Yoshida

For an undirected/directed hypergraph , its Laplacian is defined such that its ``quadratic form'' $\boldsymbol{x}^\top L_G(\boldsym…

cs.DS2018

Efficient Enumeration of Subgraphs and Induced Subgraphs with Bounded Girth

Kazuhiro Kurita, Kunihiro Wasa, Alessio Conte +2

The girth of a graph is the length of its shortest cycle. Due to its relevance in graph theory, network analysis and practical fields such as distributed computing, girth-related p…

cs.DS2018★ 8 cited

Polynomial-Time Algorithms for Submodular Laplacian Systems

Kaito Fujii, Tasuku Soma, Yuichi Yoshida

Let be an undirected graph, be the associated Laplacian matrix, and be a vector. Solving the Laplacian system $L_G x…