It is written in a way that provides those of us without a Contains complete English text of all 13 books of the Elements plus critical apparatus analyzing each definition , Dover Books on Mathematics. Dover Publications , Mineola Tulsi, A. Author : Richard J. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more.
Author : Gary Chartrand Publisher: Courier Corporation ISBN: Category: Science Page: View: Read Now » Clear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical models, games and puzzles, more.
Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. Author : Nora Hartsfield Publisher: Courier Corporation ISBN: Category: Mathematics Page: View: Read Now » Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms.
Author : Jonathan L. Gross Publisher: Courier Corporation ISBN: Category: Mathematics Page: View: Read Now » Iintroductory treatment emphasizes graph imbedding but also covers connections between topological graph theory and other areas of mathematics.
Authors explore the role of voltage graphs in the derivation of genus formulas, explain the Ringel-Youngs theorem, and examine the genus of a group, including imbeddings of Cayley graphs. Many figures. Practical examples explain theory's broad range, from behavioral sciences, information theory, cybernetics, and other areas, to mathematical disciplines such as set and matrix theory.
Includes black-and-white illustrations. You'll learn just enough theory to get started, then progress to hands-on development. As prerequisites we assume only basic math e. Our intended audience are all people that work or plan to work in IT, starting from motivated high school students. Do you have technical problems? Write to us: [email protected]. For another, it is a more qualitative than quantitative study, so there are few calculations.
Second, the mathematical hobbyist. I think graph theory makes for marvelous recreational mathematics; it is intuitively accessible and rich in unsolved problems. Third, the serious student of mathematics. Graph theory is the oldest and most geometric branch of topology, making it a natural supplement to either a geometry or topology course.
And due to its wide applicability, it is currently quite fashionable. The book uses some algebra. Remembering specifics is not so important as having a general familiarity with equations and inequalities.
Also, the discussion in Chapter 1 presupposes some experience with plane geometry. Again no specific knowledge is required, just a feeling for how the game is played.
Chapter 7 is intended for the more mathematically sophisticated reader. It generalizes Chapters 3—6. It is more conceptually difficult and concisely written than the other chapters.
It is not, however, a prerequisite for Chapter 8. The exercises range from trivial to challenging. They are not arranged in order of difficulty, nor have I given any other clue to their difficulty, on the theory that it is worthwhile to examine them all. The suggested readings are nontechnical.
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