Universitext / A Textbook of Graph Theory
(Sprache: Englisch)
Here is a solid introduction to graph theory, covering Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, Fournier's proof of Kuratowski's theorem on...
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Here is a solid introduction to graph theory, covering Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, Fournier's proof of Kuratowski's theorem on planar graphs, and more. The book does not presuppose deep knowledge of any branch of mathematics, but requires only the basics of mathematics.
Klappentext zu „Universitext / A Textbook of Graph Theory “
Graph theory has experienced a tremendous growth during the 20th century. One of the main reasons for this phenomenon is the applicability of graph theory in other disciplines such as physics, chemistry, psychology, sociology, and theoretical computer science. This book aims to provide a solid background in the basic topics of graph theory. It covers Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's proof of Kuratowski's theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices and a concrete application of triangulated graphs. The book does not presuppose deep knowledge of any branch of mathematics, but requires only the basics of mathematics. It can be used in an advanced undergraduate course or a beginning graduate course in graph theory.
Inhaltsverzeichnis zu „Universitext / A Textbook of Graph Theory “
- Basic Results- Directed Graphs
- Connectivity
- Trees
- Independent Sets and Matchings
- Eulerian and Hamiltonian Graphs
- Graph Colourings
- Planarity
- Triangulated Graphs
- Applications.
Bibliographische Angaben
- Autoren: R. Balakrishnan , K. Ranganathan
- 2000, XI, 227 Seiten, 200 Abbildungen, Maße: 16,1 x 24,4 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387988599
- ISBN-13: 9780387988597
Sprache:
Englisch
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