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http://testbankair.com/wp-content/uploads/2018/07/Solution-Manual-for-Discrete-and-Combinatorial-Mathematics-5th-Edition-by-Grimaldi.pdf

This fifth edition continues to improve on the features that have made it the market leader. The text offers a flexible organization, enabling instructors to adapt the book to their particular courses. The book is both complete and careful, and it continues to maintain its emphasis on algorithms and applications. Excellent exercise sets allow students to perfect skills as they practice. This new edition continues to feature numerous computer science applications-making this the ideal text for preparing students for advanced study.

See link at here:

http://testbankair.com/download/solution-manual-for-discrete-and-combinatorial-mathematics-5th-edition-by-grimaldi/

Product Details:

Language: English ISBN-10: 0201726343 ISBN-13: 978-0201726343 ISBN-13: 9780201726343

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From Wikipedia:

The Travelling Salesman Problem (TSP) is an NP-hard problem in combinatorial optimization studied in operations research and theoretical computer science. Given a list of cities and their pairwise distances, the task is to find a shortest possible tour that visits each city exactly once.

The problem was first formulated as a mathematical problem in 1930 and is one of the most intensively studied problems in optimization. It is used as a benchmark for many optimization methods. Even though the problem is computationally difficult, a large number of heuristics and exact methods are known, so that some instances with tens of thousands of cities can be solved.

An optimal TSP tour through Germany’s 15 largest cities. It is the shortest among trillions of possible tours visiting each city exactly once.

Alright, so that looks like a lot of math jargon, and I probably just lost 90% of our young-adult readership, but why is the problem relevant? 

Well according to Guardian News and Media, scientists at Royal Holloway, University of London have discovered that bees are able to solve the TSP in  moments, while computers can be busy for days with the same problem:

Dr Nigel Raine, from Royal Holloway's school of biological sciences, said: "Foraging bees solve travelling salesman problems every day. They visit flowers at multiple locations and, because bees use lots of energy to fly, they find a route which keeps flying to a minimum."

Using computer-controlled artificial flowers to test bee behaviour, his wanted to know whether the insects would follow a simple route defined by the order in which they found the flowers, or look for the shortest route.

After exploring the location of the flowers, the bees quickly learned to fly the best route for saving time and energy.

Obligatory Picture of a Halloween Bee-Cat