A Compact Encoding of Rectangular Drawings with Efficient Query Supports

Katsuhisa YAMANAKA  Shin-ichi NAKANO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E91-A   No.9   pp.2284-2291
Publication Date: 2008/09/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e91-a.9.2284
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
graph,  algorithm,  graph encoding,  rectangular drawing,  query supports,  

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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 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.