Includes bibliographical references and index.

Embedding graphs on surfaces / Jonathan L. Gross and Thomas W. Tucker -- Maximum genus / Jianer Chen and Yuanqiu Huang -- Distribution of embeddings / Jonathan L. Gross -- Algorithms and obstructions for embeddings / Bojan Mohar -- Graph minors : generalizing Kuratowski's theorem / R. Bruce Richter -- Colouring graphs on surfaces / Joan P. Hutchinson -- Crossing numbers R. Bruce Richter and G. Salazar -- Representing graphs and maps / Tomaž Pisanski and Arjana Žitnik -- Enumerating coverings / Jin Ho Kwak and Jaeun Lee -- Symmetric maps / Jozef Širáň -- The genus of a group / Thomas W. Tucker -- Embeddings and geometries / Arthur T. White -- Embeddings and designs / M.J. Grannell and T.S. Griggs -- Infinite graphs and planar maps / Mark E. Watkins -- Open problems / Dan Archdeacon.