Boundary labeling with flexible label positions

Zhi Dong Huang, Sheung Hung Poon*, Chun-Cheng Lin

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

13 Scopus citations


Boundary labeling connects each point site in a rectangular map to a label on the sides of the map by a leader, which may be a straight-line segment or a polyline. In the conventional setting, the labels along a side of the map form a single stack of labels in which labels are placed consecutively one by one in a sequence, and the two end sides of a label stack must respect the sides of the map. However, such a setting may be in conflict with generation of a better boundary labeling, measured by the total leader length or the number of bends of leaders. As a result, this paper relaxes this setting to propose the boundary labeling with flexible label positions, in which labels are allowed to be placed at any non-overlapping location along the sides of the map so that they do not necessarily form only one single stack, and the two end sides of label stacks do not need to respect the sides of the map. In this scenario, we investigate the total leader length minimization problem and the total bend minimization problem under several variants, which are parameterized by the number of sides to which labels are attached, their label size, port types, and leader types. It turns out that almost all of the total leader length minimization problems using nonuniform-size labels are NP-complete except for one case, while the others can be solved in polynomial time.

Original languageEnglish
Title of host publicationAlgorithms and Computation - 8th International Workshop, WALCOM 2014, Proceedings
PublisherSpringer Verlag
Number of pages12
ISBN (Print)9783319046563
StatePublished - 2014
Event8th International Workshop on Algorithms and Computation, WALCOM 2014 - Chennai, India
Duration: 13 Feb 201415 Feb 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8344 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference8th International Workshop on Algorithms and Computation, WALCOM 2014


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