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Description
Foundations of Combinatorics with ApplicationsThis introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper level undergraduates and graduate students in engineering, science, and mathematics. The four part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of
This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics.The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/06/2006
ISBN: 9780486446035
Pages: 468
Weight: 1.42lbs
Size: 9.20h x 6.36w x 0.90d
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4.3 ★★★★★
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Product Reviews
★★★★★ 4
Well made
Color: Orange & Blue
Very durable,great stitching, bright colors,my two dogs however could care less about these Lol my one dog likes balls my other dog seems to only like brown toys
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 21, 2026
★★★★★ 3
Didn't even last an hour!
Color: Orange & Blue, Color: Orange & Blue
I had high hopes for these toys as the description sounded like they might be not easily destructible. Well, I was dissapointed again. Our shih-poo (half shih-tzu/ half minature poodle) had one of the toys apart in an hour. See photo.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 31, 2026
★★★★★ 3
Stuffed with Plastic
Color: Orange & Blue
So these are super cute and they have crinkle sounds and a squeaker, but these would not be suitable for chewers. The have plastic stuffing in the legs and my dog almost choked on it...so I just have to tell you that these may be ok for smaller dogs but mine is 30 pounds and he ripped through it and started eating the plastic crinkle stuffing.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on February 4, 2026
★★★★★ 5
My dogs loved this toy!
Color: Orange & Blue
My dogs absolutely loved these! The quality is actually good and the price for two of them is fair! Surprisingly the durability is more than I expected my aggressive chewer hasn’t completely destroyed it!
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Reviewed in the United States on May 23, 2026
★★★★★ 5
Tough toys!
Color: Orange & Blue
We have 2 deogs, a large Aussie and a small terrior. The little guy is very hard on toys. Few last a full day. We have thrown away hundreds of $ worth of toys, We have had these for a few months, and he has not managed to destoy them yet. They get played with a lot because he has very few toys. I keep trying to find toys which will survive this dog. He hjas even destroyed Kong toys which are pretty tough, but has not destroyed these. I wrote this review as I cam back to order more toys from this company, because it is great to have some which can stand up to his abuse.
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Reviewed in the United States on December 1, 2025
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