Titlebook: Discrete Mathematics and Graph Theory; A Concise Study Comp K. Erciyes Textbook 2021 Springer Nature Switzerland AG 2021 Discrete Mathemati

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Counting and Probabilitytions and combinations which are methods to count the number of ways that a set of objects can be organized. Probabilities of events can be computed using counting principles as we investigate in the second part of this chapter.

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Trees and Traversals the chapter, our focus is on methods of tree construction from a general graph. Two basic methods for unweighted graphs are the breadth-first-search and the depth-first-search as we review. For weighted graphs, building an MST tree has many real-life applications as we will see.

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Subgraphsrovide a subset of vertices of a graph with a specific property. We conclude this chapter with another well-known graph problem: vertex coloring. where each vertex should be colored with a different color than its neighbors. All of these problems except matching are NP-hard problems defying solutions in polynomial time.

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Textbook 2021aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula...The study of discrete mathematics is one of the first courses on curricula in various