How Long to Read Towards a Theory of Geometric Graphs

By János Pach

How Long Does it Take to Read Towards a Theory of Geometric Graphs?

It takes the average reader 4 hours and 46 minutes to read Towards a Theory of Geometric Graphs by János Pach

Assuming a reading speed of 250 words per minute. Learn more

Description

The early development of graph theory was heavily motivated and influenced by topological and geometric themes, such as the Konigsberg Bridge Problem, Euler's Polyhedral Formula, or Kuratowski's characterization of planar graphs. In 1936, when Denes Konig published his classical ""Theory of Finite and Infinite Graphs"", the first book ever written on the subject, he stressed this connection by adding the subtitle Combinatorial Topology of Systems of Segments. He wanted to emphasize that the subject of his investigations was very concrete: planar figures consisting of points connected by straight-line segments. However, in the second half of the twentieth century, graph theoretical research took an interesting turn. In the most popular and most rapidly growing areas (the theory of random graphs, Ramsey theory, extremal graph theory, algebraic graph theory, etc.), graphs were considered as abstract binary relations rather than geometric objects.Many of the powerful techniques developed in these fields have been successfully applied in other areas of mathematics. However, the same methods were often incapable of providing satisfactory answers to questions arising in geometric applications. In the spirit of Konig, geometric graph theory focuses on combinatorial and geometric properties of graphs drawn in the plane by straight-line edges (or more generally, by edges represented by simple Jordan arcs). It is an emerging discipline that abounds in open problems, but it has already yielded some striking results which have proved instrumental in the solution of several basic problems in combinatorial and computational geometry. The present volume is a careful selection of 25 invited and thoroughly refereed papers, reporting about important recent discoveries on the way Towards a Theory of Geometric Graphs.

How long is Towards a Theory of Geometric Graphs?

Towards a Theory of Geometric Graphs by János Pach is 283 pages long, and a total of 71,599 words.

This makes it 96% the length of the average book. It also has 88% more words than the average book.

How Long Does it Take to Read Towards a Theory of Geometric Graphs Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 31 minutes to read Towards a Theory of Geometric Graphs aloud.

What Reading Level is Towards a Theory of Geometric Graphs?

Towards a Theory of Geometric Graphs is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Towards a Theory of Geometric Graphs?

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