IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Special Section on Discrete Mathematics and Its Applications
A Compact Encoding of Rectangular Drawings with Efficient Query Supports
Katsuhisa YAMANAKAShin-ichi NAKANO
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2008 年 E91.A 巻 9 号 p. 2284-2291

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A rectangular drawing is a plane drawing in which every face is a rectangle. In this paper we give a simple encoding scheme for rectangular drawings. Given a rectangular drawing R with maximum degree 3, our scheme encodes R with 5/3m+o(n) bits where n is the number of vertices of R and m is the number of edges of R. Also we give an algorithm to supports a rich set of queries, including adjacency and degree queries on the faces, in constant time.
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© 2008 The Institute of Electronics, Information and Communication Engineers
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