An inductive definition of the class of 3-connected quadrangulations of the plane (Q908933)
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scientific article; zbMATH DE number 4135968
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An inductive definition of the class of 3-connected quadrangulations of the plane |
scientific article; zbMATH DE number 4135968 |
Statements
An inductive definition of the class of 3-connected quadrangulations of the plane (English)
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1989
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An inductive class is defined by giving a class of initial objects, the basis, and a class of generating rules. An object is in the inductive class if it results from a finite sequence of applications of generating rules to a basis element. The paper under review presents the class of all 3-connected quadrangulations of the plane as an inductive class. A dual inductive definition yields the 3-connected 4-regular planar graphs.
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planar quadrangulation
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inductive class
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3-connected quadrangulations of the plane
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inductive definition
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3-connected 4-regular planar graphs
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