Gutwenger, Carsten, Leipert, Sebastian, Mutzel, Petra ORCID: 0000-0001-7621-971X, Percan, Merijam, Jünger, Michael and Weiskircher, René (2003). Subgraph Induced Connectivity Augmentation. In: Graph-theoretic concepts in computer science : 29th International Workshop, WG 2003, Elspeet, The Netherlands, June 19 - 21, 2003 ; revised papers, pp. 261-272. Springer.
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Abstract
Given a planar graph G=(V,E) and a vertex set Wsubseteq V , the subgraph induced planar connectivity augmentation problem asks for a minimum cardinality set F of additional edges with end vertices in W such that G'=(V,Ecup F) is planar and the subgraph of G' induced by W is connected. The problem arises in automatic graph drawing in the context of c -planarity testing of clustered graphs. We describe a linear time algorithm based on SPQR-trees that tests if a subgraph induced planar connectivity augmentation exists and, if so, constructs an minimum cardinality augmenting edge set.
Item Type: | Book Section, Proceedings Item or annotation in a legal commentary | ||||||||||||||||||||||||||||
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URN: | urn:nbn:de:hbz:38-548648 | ||||||||||||||||||||||||||||
Title of Book: | Graph-theoretic concepts in computer science : 29th International Workshop, WG 2003, Elspeet, The Netherlands, June 19 - 21, 2003 ; revised papers | ||||||||||||||||||||||||||||
Series Name: | Lecture Notes in Computer Science | ||||||||||||||||||||||||||||
Volume: | 2880 | ||||||||||||||||||||||||||||
Page Range: | pp. 261-272 | ||||||||||||||||||||||||||||
Date: | 2003 | ||||||||||||||||||||||||||||
Publisher: | Springer | ||||||||||||||||||||||||||||
Language: | English | ||||||||||||||||||||||||||||
Faculty: | Faculty of Mathematics and Natural Sciences | ||||||||||||||||||||||||||||
Divisions: | Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Institute of Computer Science | ||||||||||||||||||||||||||||
Subjects: | Data processing Computer science | ||||||||||||||||||||||||||||
Refereed: | No | ||||||||||||||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/54864 |
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