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In a storyline visualization, we visualize a collection of interacting characters (e.g., in a movie, play, etc.) by $x$-monotone curves that converge for each interaction, and diverge otherwise. Given a storyline with $n$ characters, we…

数据结构与算法 · 计算机科学 2016-08-03 Irina Kostitsyna , Martin Nöllenburg , Valentin Polishchuk , André Schulz , Darren Strash

A storyline visualization is a layout that represents the temporal dynamics of social interactions along time by the convergence of chronological lines. Among the criteria oriented at improving aesthetics and legibility of a representation…

数据结构与算法 · 计算机科学 2016-08-30 Martin Gronemann , Michael Jünger , Frauke Liers , Francesco Mambelli

Storyline visualizations are a popular way of visualizing characters and their interactions over time: Characters are drawn as x-monotone curves and interactions are visualized through close proximity of the corresponding character curves…

计算几何 · 计算机科学 2023-03-01 Alexander Dobler , Martin Nöllenburg , Daniel Stojanovic , Anaïs Villedieu , Jules Wulms

Storyline drawings are a popular visualization of interactions of a set of characters over time, e.g., to show participants of scenes in a book or movie. Characters are represented as $x$-monotone curves that converge vertically for…

数据结构与算法 · 计算机科学 2024-09-05 Alexander Dobler , Michael Jünger , Paul J. Jünger , Julian Meffert , Petra Mutzel , Martin Nöllenburg

A storyline visualization shows interactions between characters over time. Each character is represented by an x-monotone curve. Time is mapped to the x-axis, and groups of characters that interact at a particular point $t$ in time must be…

数据结构与算法 · 计算机科学 2025-08-28 Alexander Dobler , Tim Hegemann , Martin Nöllenburg , Alexander Wolff

A metro-line crossing minimization problem is to draw multiple lines on an underlying graph that models stations and rail tracks so that the number of crossings of lines becomes minimum. It has several variations by adding restrictions on…

数据结构与算法 · 计算机科学 2013-06-18 Yoshio Okamoto , Yuichi Tatsu , Yushi Uno

In a graph story the vertices enter a graph one at a time and each vertex persists in the graph for a fixed amount of time $\omega$, called viewing window. At any time, the user can see only the drawing of the graph induced by the vertices…

We describe the conditions under which a set of continuous variables or characters can be described as an X-tree or a split network. A distance matrix corresponds exactly to a split network or a valued X-tree if, after ordering of the taxa,…

定量方法 · 定量生物学 2009-06-11 Marc Thuillard , Didier Fraix-Burnet

We study the problem of drawing a dynamic graph, where each vertex appears in the graph at a certain time and remains in the graph for a fixed amount of time, called the window size. This defines a graph story, i.e., a sequence of…

数据结构与算法 · 计算机科学 2019-08-28 Manuel Borrazzo , Giordano Da Lozzo , Giuseppe Di Battista , Fabrizio Frati , Maurizio Patrignani

Given an edge-weighted graph $G$ on $n$ nodes, the NP-hard Max-Cut problem asks for a node bipartition such that the sum of edge weights joining the different partitions is maximized. We propose a fixed-parameter tractable algorithm…

数据结构与算法 · 计算机科学 2020-07-23 Markus Chimani , Christine Dahn , Martina Juhnke-Kubitzke , Nils M. Kriege , Petra Mutzel , Alexander Nover

In extension problems of partial graph drawings one is given an incomplete drawing of an input graph $G$ and is asked to complete the drawing while maintaining certain properties. A prominent area where such problems arise is that of…

计算几何 · 计算机科学 2020-12-15 Robert Ganian , Thekla Hamm , Fabian Klute , Irene Parada , Birgit Vogtenhuber

We address the question of detecting minimal virtual diagrams with respect to the number of virtual crossings. This problem is closely connected to the problem of detecting the minimal number of additional intersection points for a generic…

几何拓扑 · 数学 2008-11-06 Denis Afanasiev , Vassily Manturov

A problem that arises in drawings of transportation networks is to minimize the number of crossings between different transportation lines. While this can be done efficiently under specific constraints, not all solutions are visually…

数据结构与算法 · 计算机科学 2013-06-25 Martin Fink , Sergey Pupyrev

A clique coloring of a graph is an assignment of colors to its vertices such that no maximal clique is monochromatic. We initiate the study of structural parameterizations of the Clique Coloring problem which asks whether a given graph has…

数据结构与算法 · 计算机科学 2020-05-12 Lars Jaffke , Paloma T. Lima , Geevarghese Philip

Storyline visualizations display the interactions of groups and entities and their development over time. Existing approaches have successfully adopted the general layout from hand-drawn illustrations to automatically create similar…

图形学 · 计算机科学 2020-04-30 Fabian Bolte , Stefan Bruckner

The basic (and traditional) crossing number problem is to determine the minimum number of crossings in a topological drawing of an input graph in the plane. We develop a unified framework yielding fixed-parameter tractable (FPT) algorithms…

计算几何 · 计算机科学 2026-05-07 Éric Colin de Verdière , Petr Hliněný

In this paper, we consider the parameterized complexity of the following scheduling problem. We must schedule a number of jobs on $m$ machines, where each job has unit length, and the graph of precedence constraints consists of a set of…

计算复杂性 · 计算机科学 2020-07-20 Hans L. Bodlaender , Marieke van der Wegen

Story visualization aims to generate a series of images that match the story described in texts, and it requires the generated images to satisfy high quality, alignment with the text description, and consistency in character identities.…

计算机视觉与模式识别 · 计算机科学 2023-11-21 Wen Wang , Canyu Zhao , Hao Chen , Zhekai Chen , Kecheng Zheng , Chunhua Shen

Stacked area charts are a widely used visualization technique for numerical time series. The x-axis represents time, and the time series are displayed as horizontal, variable-height layers stacked on top of each other. The height of each…

数据结构与算法 · 计算机科学 2025-06-27 Alexander Dobler , Martin Nöllenburg

Computing a (short) path between two vertices is one of the most fundamental primitives in graph algorithmics. In recent years, the study of paths in temporal graphs, that is, graphs where the vertex set is fixed but the edge set changes…

离散数学 · 计算机科学 2021-05-27 Arnaud Casteigts , Anne-Sophie Himmel , Hendrik Molter , Philipp Zschoche
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