Combinatorics, Graph Theory, and Applications

Combinatorics is a branch of mathematics that deals with the study of finite sets and countable mathematical structures. Students interested in careers that rely heavily on strong mathematics skills will find combinatorics extremely useful. Combinatorics proved to be the branch of mathematics that best suits the needs of computer science. Combinatorics has many applications in other areas of mathematics, including graph theory, coding and cryptography, and probability. New areas, with a highly combinatorial character, were born out of this interaction, such as: combinatorial optimization, complexity theory, randomized algorithms, computational geometry, computational group theory, and computational molecular biology.
This book considers a number of research topics in graph theory and its applications. This book is aimed to cover advances and research concerning all aspects of combinatorial mathematics, especially graph theory and discrete geometry. It contains studies, by motivating mathematical concepts with cutting-edge, real-world applications. Covering about developments within mathematics which led to the recent growth of combinatorics, the book also mentions the discovery of deep connections with mainstream areas of mathematics, such as algebra, geometry, topology, and probability theory, to mention just a few. This book should be a valuable resource for mathematicians working in the area of combinatorial matrix theory.

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