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Extensions of the notion of map and subdivisions of a three-dimensional space. (English) Zbl 0654.05026

STACS 88, Theoretical aspects of computer science, Proc. 5th Annu. Symp., Bordeaux/France 1988, Lect. Notes Comput. Sci. 294, 301-311 (1988).
It is well-known that a map can be described combinatorially by means of a pair of permutations acting on the set of arcs of the underlying graph. In the paper, the author proposes a combinatorial description of polyhedra, regarded as objects in 3-dimensional space, by means of a triple of permutations acting on a suitable finite set (formalizing thereby the notion of volume). Some applications of this approach to modeling are described.
[For the entire collection see Zbl 0635.00015.]

MSC:

05C10 Planar graphs; geometric and topological aspects of graph theory

Citations:

Zbl 0635.00015