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This undergraduate textbook provides an introduction to graph theory, which has numerous applications in modeling problems in science and technology, and has become a vital component to computer science, computer science and engineering, and mathematics curricula of universities all over the world. The author follows a methodical and easy to understand approach. Beginning with the historical background, motivation and applications of graph theory, the author first explains basic graph theoretic terminologies. From this firm foundation, the author goes on to present  paths, cycles, connectivity, trees, matchings, coverings, planar graphs, graph coloring and digraphs as well as some  special classes of graphs together with some research topics for advanced  study.  Filled with exercises and illustrations, Basic Graph Theory is a valuable resource for any undergraduate student to understand and gain confidence in graph theory and its applications to scientific research, algorithms and problem solving.
Autor: Rahman, Md. Saidur
ISBN: 9783319494746
Sprache: Englisch
Seitenzahl: 169
Produktart: Kartoniert / Broschiert
Verlag: Springer International Publishing
Veröffentlicht: 10.05.2017
Schlagworte: graph algorithms graph colouring graph theory matching and covering planar graphs
Md. Saidur Rahman is a Professor in the Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology (BUET). He has taught basic graph theory at undergraduate level for more than ten years. Professor Rahman specialized in theoretical computer science and researches on algorithms, graph theory, graph drawing, computational geometry and bioinformatics. Prof. Rahman is a Fellow of Bangladesh Academy of Sciences and a Senior Member of IEEE.