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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

We present algorithms that extend the path-based hierarchical drawing framework and give experimental results. Our algorithms run in $O(km)$ time, where $k$ is the number of paths and $m$ is the number of edges of the graph, and provide…

Data Structures and Algorithms · Computer Science 2020-11-25 Panagiotis Lionakis , Giorgos Kritikakis , Ioannis G. Tollis

We present experimental results and a user study for hierarchical drawings of graphs. A detailed hierarchical graph drawing technique that is based on the Path Based Framework (PBF) is presented. Extensive edge bundling is applied to draw…

Human-Computer Interaction · Computer Science 2022-09-13 Panagiotis Lionakis , Giorgos Kritikakis , Ioannis G. Tollis

The aim of this research is a practical method to draw cable plans of complex machines. Such plans consist of electronic components and cables connecting specific ports of the components. Since the machines are configured for each client…

Data Structures and Algorithms · Computer Science 2023-04-26 Johannes Zink , Julian Walter , Joachim Baumeister , Alexander Wolff

A new efficient algorithm is presented for finding all simple cycles that satisfy a length constraint in a directed graph. When the number of vertices is non-trivial, most cycle-finding problems are of practical interest for sparse graphs…

Data Structures and Algorithms · Computer Science 2021-05-27 Anshul Gupta , Toyotaro Suzumura

There has been intensive work on the parameterized complexity of the typically NP-hard task to edit undirected graphs into graphs fulfilling certain given vertex degree constraints. In this work, we lift the investigations to the case of…

Discrete Mathematics · Computer Science 2018-02-01 Robert Bredereck , Vincent Froese , Marcel Koseler , Marcelo Garlet Millani , André Nichterlein , Rolf Niedermeier

We consider the coordinate assignment phase of the well known Sugiyama framework for drawing directed graphs in a hierarchical style. The extensive literature in this area has given comparatively little attention to a prescribed width of…

Data Structures and Algorithms · Computer Science 2018-08-10 Michael Jünger , Petra Mutzel , Christiane Spisla

Recently, one has seen a surge of interest in developing such methods including ones for learning such representations for (undirected) graphs (while preserving important properties). However, most of the work to date on embedding graphs…

Social and Information Networks · Computer Science 2018-11-30 Jiankai Sun , Srinivasan Parthasarathy

We define the \emph{visual complexity} of a plane graph drawing to be the number of basic geometric objects needed to represent all its edges. In particular, one object may represent multiple edges (e.g., one needs only one line segment to…

Computational Geometry · Computer Science 2018-09-10 Gregor Hültenschmidt , Philipp Kindermann , Wouter Meulemans , André Schulz

In 2021, Gupta and Suzumura proposed a novel algorithm for enumerating all bounded-length simple cycles in directed graphs. In this work, we present concrete examples demonstrating that the proposed algorithm fails to enumerate certain…

Data Structures and Algorithms · Computer Science 2025-12-11 Frank Bauernöppel , Jörg-Rüdiger Sack

In this paper, we present a hybrid graph-drawing algorithm (GDA) for layouting large, naturally-clustered, disconnected graphs. We called it a hybrid algorithm because it is an implementation of a series of already known graph-drawing and…

Graphics · Computer Science 2015-07-13 Toni-Jan Keith P. Monserrat , Jaderick P. Pabico , Eliezer A. Albacea

Graph Visualization, also known as Graph Drawing, aims to find geometric embeddings of graphs that optimize certain criteria. Stress is a widely used metric; stress is minimized when every pair of nodes is positioned at their shortest path…

Computational Geometry · Computer Science 2024-02-13 Florian Grötschla , Joël Mathys , Robert Veres , Roger Wattenhofer

Many real-world networks, including social and information networks, are dynamic structures that evolve over time. Such dynamic networks are typically visualized using a sequence of static graph layouts. In addition to providing a visual…

Social and Information Networks · Computer Science 2014-01-21 Kevin S. Xu , Mark Kliger , Alfred O. Hero

Graph drawing addresses the problem of finding a layout of a graph that satisfies given aesthetic and understandability objectives. The most important objective in graph drawing is minimization of the number of crossings in the drawing, as…

Computational Geometry · Computer Science 2014-01-22 Mohamed A. El-Sayed , S. Abdel-Khalek , Hanan H. Amin

We introduce L-drawings, a novel paradigm for representing directed graphs aiming at combining the readability features of orthogonal drawings with the expressive power of matrix representations. In an L-drawing, vertices have exclusive…

In this paper, we introduce a new approach for drawing diagrams that have applications in software visualization. Our approach is to use a technique we call confluent drawing for visualizing non-planar diagrams in a planar way. This…

Computational Geometry · Computer Science 2007-05-23 Matthew Dickerson , David Eppstein , Michael T. Goodrich , Jeremy Meng

A computational graph in a deep neural network (DNN) denotes a specific data flow diagram (DFD) composed of many tensors and operators. Existing toolkits for visualizing computational graphs are not applicable when the structure is highly…

Human-Computer Interaction · Computer Science 2023-01-02 Rusheng Pan , Zhiyong Wang , Yating Wei , Han Gao , Gongchang Ou , Caleb Chen Cao , Jingli Xu , Tong Xu , Wei Chen

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

We present a linear-time algorithm for simplifying flow networks on directed planar graphs: Given a directed planar graph on $n$ vertices, a source vertex $s$ and a sink vertex $t$, our algorithm removes all the arcs that do not participate…

Data Structures and Algorithms · Computer Science 2018-05-09 Jittat Fakcharoenphol , Bundit Laekhanukit , Pattara Sukprasert

The problem of finding the longest simple cycle in a directed graph is NP-hard, with critical applications in computational biology, scheduling, and network analysis. Existing approaches include exact algorithms with exponential runtimes,…

Data Structures and Algorithms · Computer Science 2026-01-13 Ali Dasdan
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