Thirty Essays on Geometric Graph Theory [Hardcover]

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.

This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory.? The contributions were thoroughly reviewed and written by excellent researchers in this field.

The field of geometric graph theory is a fairly new discipline. This contributed volume contains twenty-five original survey and research papers on important recent developments in geometric graph theory written by active researchers in this field.

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.

This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory.? The contributions were thoroughly reviewed and written by excellent researchers in this field.

Introduction.- 1) B. ?brego - S. Fern?ndez-Merchant - G. Salazar: The rectilinear crossing number of K_n: closing in (or are we?).- 2) E. Ackerman: The malãr