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Combinatorial and Geometrical Structures

Combinatorial and Geometrical Structures

Several kinds of combinatorial structures may be constructed in Magma. The categories are:

GrphUnd
undirected graphs
GrphDir
directed graphs (digraphs)
Code
error-correcting linear codes
Inc, Dsgn
incidence structures and designs
Plane, ProjPl, AffPl
finite planes (affine, projective)

There are also many functions which operate on integers for enumerative combinatorics.

Geometrical structures are currently represented by elliptic curves (category GeomEC). Points on curves are in the category GeomECElt, and there is also a category KodSym for Kodaira symbols.

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