We discuss space-efficient encoding schemes for planar graphs and maps. Our results improve on the constants of previous schemes and can be achieved with ...
Each map embeds a unique graph, but a given graph may have multiple embeddings. Hence maps must require more bits to encode than graphs in some average sense.
In this paper we discuss space-efficient binary encoding schemes for several classes of unlabeled connected planar graphs and maps. In encoding a graph we ...
An equitable coloring of a graph is a proper vertex coloring such that the sizes of every two color classes differ by at most 1.
Short Encodings of Planar Graphs and Maps · Kenneth Keeler, J. Westbrook · Published in Discrete Applied Mathematics 7 April 1995 · Computer Science, Mathematics.
The transformation of the graph G into a sorted wheel is broken up into three phases: constructing a Hamiltonian circuit, transforming the Hamiltonian circuit ...
A graph is planar if it can be drawn in the plane without crossings. In this work we consider the problem of maintaining a succinct encoding of a given graph ...
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We give three sets of coding schemes for G which all take O(m + n) time for encoding and decoding. Our schemes employ new properties of canonical orderings for ...
This paper investigates the problem of encoding a graph G with n nodes and m edges into a binary string S. This problem has been extensively studied with.
A planar map (or plane graph) is an embedding of a connected planar graph on the ... Keeler, K., Westbrook, J.: Short encodings of planar graphs and maps.