Thirty essays on geometric graph theory

In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple...

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Bibliographic Details
Main Author: Pach, Janos
Format: Book
Language:Undetermined
Published: New York Springer 2013
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Institutions: Trung tâm Học liệu Trường Đại học Cần Thơ
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Summary:In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions.