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Generalized Embedding Schemes
Author(s) -
Stahl Saul
Publication year - 1978
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190020106
Subject(s) - embedding , mathematics , type (biology) , book embedding , combinatorics , interpolation (computer graphics) , discrete mathematics , pure mathematics , graph , computer science , chordal graph , image (mathematics) , 1 planar graph , artificial intelligence , ecology , biology
Covering projections are used to provide a logical foundation for the generalized embedding schemes which describe embeddings of graphs on closed surfaces that are not necessarily orientable. Criteria are provided to resolve the question of when such schemes describe the same embedding, and when that embedding is orientable. The schemes are then applied to derive some interpolation‐type theorems for embeddings on closed surfaces.