Finding a Maximum-Genius Graph Imbedding

Autor: Furst, Merrick L., Gross, Jonathan L., McGeoch, Lyle A.
Rok vydání: 1987
Předmět:
DOI: 10.7916/d8n87js8
Popis: The computational complexity of constructing the imbeddings of a given graph into surfaces of different genus is not well-understood. In this paper, topological methods and a reduction to linear matroid parity are used to develop a polynomial-time algorithm to find a maximum-genus cellular imbedding. This seems to be the first imbedding algorithm for which the running time is not exponential in the genus of the imbedding surface.
Databáze: OpenAIRE