Angle-systems and Self-duality
نویسنده
چکیده
This paper serves as a broad introduction to the theory and application of Angle-Systems. Angle-Systems are defined as an algebraic structure, and their basic properties are introduced. The correspondence between AngleSystems and embeddings of graphs upon an orientable surface is discussed, and various graph theoretic results are formalized as properties of algebraic structures. Symmetry patterns in Angle-Systems are explored, particularly the problem of characterizing self-dual graphs.
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