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In this paper we study graph problems in dynamic streaming model, where the input is defined by a sequence of edge insertions and deletions. As many natural problems require $\Omega(n)$ space, where $n$ is the number of vertices, existing…

Data Structures and Algorithms · Computer Science 2016-05-03 Zengfeng Huang , Pan Peng

A natural way to represent on the plane both a planar graph and its dual is to follow the definition of the dual, thus, to place vertices inside their corresponding primal faces, and to draw the dual edges so that they only cross their…

Computational Geometry · Computer Science 2015-05-12 Tamara Mchedlidze

Graph Neural Networks (GNNs) have emerged as the leading paradigm for learning over graph-structured data. However, their performance is limited by issues inherent to graph topology, most notably oversquashing and oversmoothing. Recent…

Machine Learning · Computer Science 2025-08-29 Hugo Attali , Thomas Papastergiou , Nathalie Pernelle , Fragkiskos D. Malliaros

We present algorithms and experiments for the visualization of directed graphs that focus on displaying their reachability information. Our algorithms are based on the concepts of the path and channel decomposition as proposed in the…

Data Structures and Algorithms · Computer Science 2019-07-29 Panagiotis Lionakis , Giacomo Ortali , Ioannis G. Tollis

A graph drawn in the plane with straight-line edges is called a geometric graph. If no path of length at most $k$ in a geometric graph $G$ is self-intersecting we call $G$ $k$-locally plane. The main result of this paper is a construction…

Combinatorics · Mathematics 2011-11-01 Gábor Tardos

We present a strongly polynomial-time algorithm to generate bandwidth optimal allgather/reduce-scatter on any network topology, with or without switches. Our algorithm constructs pipeline schedules achieving provably the best possible…

Networking and Internet Architecture · Computer Science 2023-06-02 Liangyu Zhao , Arvind Krishnamurthy

We present JigsawRL, a cost-efficient framework that explores Pipeline Multiplexing as a new dimension of RL parallelism. JigsawRL decomposes each pipeline into a Sub-Stage Graph that exposes the intra-stage and inter-worker imbalance…

Machine Learning · Computer Science 2026-04-28 Zhengding Hu , Hehua Ouyang , Chang Chen , Zaifeng Pan , Yue Guan , Zhongkai Yu , Zhen Wang , Steven Swanson , Yufei Ding

A geometric graph is a graph whose vertices are points in general position in the plane and its edges are straight line segments joining these points. In this paper we give an $O(n^2 \log n)$ algorithm to compute the number of pairs of…

Computational Geometry · Computer Science 2020-09-04 Frank Duque , Ruy Fabila-Monroy , César Hernández-Vélez , Carlos Hidalgo-Toscano

The problem of orienting the edges of an undirected graph such that the resulting digraph is acyclic and has a single source s and a single sink t has a long tradition in graph theory and is central to many graph drawing algorithms. Such an…

Data Structures and Algorithms · Computer Science 2022-08-25 Carla Binucci , Walter Didimo , Maurizio Patrignani

Despite the enormous success of graph neural networks (GNNs), most existing GNNs can only be applicable to undirected graphs where relationships among connected nodes are two-way symmetric (i.e., information can be passed back and forth).…

Machine Learning · Computer Science 2021-10-15 Zhuo Tan , Bin Liu , Guosheng Yin

Redundancy is a persistent challenge in Capsule Networks (CapsNet),leading to high computational costs and parameter counts. Although previous works have introduced pruning after the initial capsule layer, dynamic routing's fully connected…

Computer Vision and Pattern Recognition · Computer Science 2024-03-21 Xinyu Geng , Jiaming Wang , Jiawei Gong , Yuerong Xue , Jun Xu , Fanglin Chen , Xiaolin Huang

We consider embeddings of 3-regular graphs into 3-dimensional Cartesian coordinates, in such a way that two vertices are adjacent if and only if two of their three coordinates are equal (that is, if they lie on an axis-parallel line) and…

Computational Geometry · Computer Science 2015-07-16 David Eppstein

Bipartite graphs model the relationships between two disjoint sets of entities in several applications and are naturally drawn as 2-layer graph drawings. In such drawings, the two sets of entities (vertices) are placed on two parallel lines…

Graph reconstruction can efficiently detect the underlying topology of massive networks such as the Internet. Given a query oracle and a set of nodes, the goal is to obtain the edge set by performing as few queries as possible. An algorithm…

Data Structures and Algorithms · Computer Science 2024-07-29 Clara Stegehuis , Lotte Weedage

A new O(lg N) line clipping algorithm in E2 against a convex window is presented. The main advantage of the presented algorithm is the principal acceleration of the line clipping problem solution. A comparison of the proposed algorithm with…

Graphics · Computer Science 2018-01-03 Vaclav Skala

Line art is arguably one of the fundamental and versatile modes of expression. We propose a pipeline for a robot to look at a grayscale line art and redraw it. The key novel elements of our pipeline are: a) we propose a novel task of…

Computer Vision and Pattern Recognition · Computer Science 2020-11-16 Raghav Brahmadesam Venkataramaiyer , Subham Kumar , Vinay P. Namboodiri

In this paper, we present a novel framework to detect line segments in man-made environments. Specifically, we propose to describe junctions, line segments and relationships between them with a simple graph, which is more structured and…

Computer Vision and Pattern Recognition · Computer Science 2019-05-17 Ziheng Zhang , Zhengxin Li , Ning Bi , Jia Zheng , Jinlei Wang , Kun Huang , Weixin Luo , Yanyu Xu , Shenghua Gao

Infomap clustering finds the community structures that minimize the expected description length of a random walk trajectory; algorithms for infomap clustering run fast in practice for large graphs. In this paper we leverage the…

Data Structures and Algorithms · Computer Science 2019-08-23 Seok-Hee Hong , Peter Eades , Marnijati Torkel , Ziyang Wang , David Chae , Sungpack Hong , Daniel Langerenken , Hassan Chafi

We introduce differentiable indirection -- a novel learned primitive that employs differentiable multi-scale lookup tables as an effective substitute for traditional compute and data operations across the graphics pipeline. We demonstrate…

Graphics · Computer Science 2023-11-21 Sayantan Datta , Carl Marshall , Derek Nowrouzezahrai , Zhao Dong , Zhengqin Li

A partial edge drawing (PED) of a graph is a variation of a node-link diagram. PED draws a link, which is a partial visual representation of an edge, and reduces visual clutter of the node-link diagram. However, more time is required to…

Data Structures and Algorithms · Computer Science 2019-10-03 Kazuo Misue , Katsuya Akasaka