Basic Graph Theory
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Beschreibung
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 theoryand its applications to scientific research, algorithms and problem solving.
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.
Presents terminologies and key concepts of basic graph theory in a clear and understandable way with illustrative examples Proofs are presented with details and illustrations for easy understanding Includes special classes of graphs like outerplanar graphs, chordal graphs, and series-parallel graphs, and some research topics for further advanced study Includes supplementary material: sn.pub/extras
Autor*in
Md. Saidur Rahman
Themen in »Basic Graph Theory«
graph theory planar graphs graph colouring matching and covering graph algorithms
Stimmen zu »Basic Graph Theory«
“The content is presented in a simple and straightforward manner with ample illustrations using neat and apt diagrams (graphs). The book is definitely good for students learning graph theory at the undergraduate and postgraduate levels.” (Sudev Naduvath, Computing Reviews, January, 9 , 2018)
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