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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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Hlavní autor: Pach, Janos
Médium: Kniha
Jazyk:Undetermined
Vydáno: New York Springer 2013
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
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Shrnutí: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.