## Graph Embedding with Topological Cycle-Constraints (1999)

Venue: | Graph Drawing, Proc. 7th Int. Symp. GD'99, LNCS 1731, 155--164 |

Citations: | 1 - 1 self |

### BibTeX

@INPROCEEDINGS{Dornheim99graphembedding,

author = {Christoph Dornheim},

title = {Graph Embedding with Topological Cycle-Constraints},

booktitle = {Graph Drawing, Proc. 7th Int. Symp. GD'99, LNCS 1731, 155--164},

year = {1999}

}

### OpenURL

### Abstract

. This paper concerns graph embedding under topological constraints. We address the problem of finding a planar embedding of a graph satisfying a set of constraints between its vertices and cycles that require embedding a given vertex inside its corresponding cycle. This problem turns out to be NP-complete. However, towards an analysis of its tractable subproblems, we develop an efficient algorithm for the special case where graphs are 2-connected and any two distinct cycles in the constraints have at most one vertex in common. 1 Introduction In many graph drawing applications it is important to find drawings with certain geometrical or topological properties. For instance, to support the semantics of visual languages, given subgraphs should be drawn with a predefined shape. Such user-defined requirements on the graph layout are called graph drawing constraints. Due to their wide applicability, graph drawing approaches supporting them are of recent research interest [7]. So far most o...

### Citations

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