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A Compact Encoding of Rectangular Drawings with Efficient Query Supports

Katsuhisa YAMANAKA, Shin-ichi NAKANO

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Summary :

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 m + 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.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.9 pp.2284-2291
Publication Date
2008/09/01
Publicized
Online ISSN
1745-1337
DOI
10.1093/ietfec/e91-a.9.2284
Type of Manuscript
Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
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