Publication:

Optimal Point Removal in Closed-2pm Labeling



Authors:

Farshad Rostamabadi, Iman Sadeghi, Mohammad Ghodsi, Ramtin Khosravi

Sharif Univeristy of Technology


Venue:

Information Processing Letters, January 2008


Abstract:

An optimal labeling where labels are disjoint axis-parallel equal-size squares is called 2PM labeling if the labels have maximum length each attached to its corresponding point on the middle of one of its horizontal edges. In a closed-2PM labeling, no two edges of labels containing points should intersect. Removing one point and its label, makes free room for its adjacent labels and may cause a global label expansion. In this paper, we construct several data structures in the preprocessing stage, so that any point removal event is handled efficiently. We present an algorithm which decides in O(lgn) amortized time whether a label removal leads to label expansion in which case a new optimal labeling for the remaining points is generated in O(n) amortized time.


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Text Reference:

Farshad Rostamabadi, Iman Sadeghi, Mohammad Ghodsi, Ramtin Khosravi. Optimal point removal in closed-2PM labeling. Information Processing Letters, Volume 105, Issue 3, 31 January 2008, Pages 108-113

BibTex Reference:


@article{Rostamabadi2008optimal2pm,
	author = {Rostamabadi, Farshad and Sadeghi, Iman and Ghodsi, Mohammad and Khosravi, Ramtin},
	title = {Optimal point removal in closed-2PM labeling},
	journal = {Information Processing Letters},
	volume = {105},
	number = {3},
	month = jan,
	year = {2008},
	pages = {108--113},
}
			

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