@inproceedings{15bba4eddc774237b63cbdb7d94d3ed8,
title = "Hypergraphs as Metro Maps: Drawing Paths with Few Bends in Trees, Cacti, and Plane 4-Graphs",
abstract = "A hypergraph consists of a set of vertices and a set of subsets of vertices, called hyperedges. In the metro map metaphor, each hyperedge is represented by a path (the metro line) and the union of all these paths is the support graph (metro network) of the hypergraph. Formally speaking, a path-based support is a graph together with a set of paths. We consider the problem of constructing drawings of path-based supports that (i) minimize the sum of the number of bends on all paths, (ii) minimize the maximum number of bends on any path, or (iii) maximize the number of 0-bend paths, then the number of 1-bend paths, etc. We concentrate on straight-line drawings of path-based tree and cactus supports as well as orthogonal drawings of path-based plane supports with maximum degree 4.",
keywords = "bend minimization, hypergraphs, metro map metaphor",
author = "Sabine Cornelsen and Henry F{\"o}rster and Siddharth Gupta and Stephen Kobourov and Johannes Zink",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2026.; 51st International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2026 ; Conference date: 09-02-2026 Through 13-02-2026",
year = "2026",
month = jan,
day = "1",
doi = "10.1007/978-3-032-17801-5\_38",
language = "English",
isbn = "9783032178008",
series = "Lecture Notes in Computer Science",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "517--531",
editor = "Jakub Kozik and Alexander Wolff",
booktitle = "SOFSEM 2026",
address = "Germany",
}