How Long to Read Algorithms for Sparse Geometric Graphs and Social Networks

By Darren Jeffrey Strash

How Long Does it Take to Read Algorithms for Sparse Geometric Graphs and Social Networks?

It takes the average reader 2 hours and 4 minutes to read Algorithms for Sparse Geometric Graphs and Social Networks by Darren Jeffrey Strash

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

Description

One of the main goals of theoretical computer science is to develop algorithms that solve a given problem optimally. However, the definition of what it means to optimally solve a problem can change if we make additional assumptions about the input. In particular, if the input to a given problem meets certain real-world properties, then it is often possible to develop algorithms that are more efficient than in the general case. We show that this is the case for three problems on geometric graphs and social networks: 1. We show that n-vertex connected geometric graphs in R2 can have O(n/log (c)[superscript] n) (for constant c) edge crossings and yet we can still compute single-shortest paths and graph Voronoi diagrams on them in expected linear time. 2. We show that any 3-connected planar graph can be embedded in R2 so that (a) routing can be accomplished by the simple rule of always forwarding a message to a neighbor closer to the destination and (b) these coordinates can be represented with O(log n) bits. 3. For graphs with low degeneracy (a measure of uniform sparsity), we describe an algorithm to list all maximal cliques whose theoretical running time matches the worst-case output size of the problem, and we show that our algorithm works well in practice.

How long is Algorithms for Sparse Geometric Graphs and Social Networks?

Algorithms for Sparse Geometric Graphs and Social Networks by Darren Jeffrey Strash is 123 pages long, and a total of 31,119 words.

This makes it 42% the length of the average book. It also has 38% more words than the average book.

How Long Does it Take to Read Algorithms for Sparse Geometric Graphs and Social Networks Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 50 minutes to read Algorithms for Sparse Geometric Graphs and Social Networks aloud.

What Reading Level is Algorithms for Sparse Geometric Graphs and Social Networks?

Algorithms for Sparse Geometric Graphs and Social Networks is suitable for students ages 10 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 Algorithms for Sparse Geometric Graphs and Social Networks?

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