Leseprobe
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The Fascinating World of Graph Theory
Arthur Benjamin, Gary Chartrand, Ping Zhang, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
The history, formulas, and most famous puzzles of graph theory
Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.
Kundenbewertungen
Result, Small number, Graph theory, Octahedron, Euler's identity, Directed graph, Cycle graph, Graph drawing, Hall's theorem, Conjecture, Mathematician, Polyhedron, Matching (graph theory), Textbook, Theorem, Summation, Petersen graph, Bipartite graph, Mathematical proof, William Rowan Hamilton, London Mathematical Society, Finite set, Edge coloring, Subset, Handshaking lemma, Dominating set, Leonhard Euler, Topology, Connectivity (graph theory), Icosian calculus, Diagram (category theory), Kruskal's algorithm, Planar graph, Hamiltonian path, Parity (mathematics), Path graph, Big O notation, Decision tree, Three utilities problem, Abstract algebra, Existential quantification, Pythagorean triple, Counting, Contradiction, Road coloring theorem, Lewis Carroll, Collaboration graph, Eulerian path, Graph coloring, Chessboard, Complete bipartite graph, Kuratowski's theorem, Regular graph, Dodecahedron, Integer, Vertex (graph theory), Four color theorem, Complete graph, Molecule, Addition, Geometry, Mathematics, Quaternion, Fermat number, Rectangle, Ramsey's theorem, Natural number, Multigraph, Julius Petersen, Line (geometry)