A Seminar on Graph Theory
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A Seminar on Graph Theory

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181

ISBN-13:
9780486805146
Veröffentl:
2015
Einband:
EPUB
Seiten:
128
Autor:
Frank Harary
Serie:
Dover Books on Mathematics
eBook Typ:
EPUB
eBook Format:
Reflowable EPUB
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Beschreibung:

Presented in 1962–63 by experts at University College, London, these lectures offer a variety of perspectives on graph theory. Although the opening chapters form a coherent body of graph theoretic concepts, this volume is not a text on the subject but rather an introduction to the extensive literature of graph theory. The seminar's topics are geared toward advanced undergraduate students of mathematics.Lectures by this volume's editor, Frank Harary, include "e;Some Theorems and Concepts of Graph Theory,"e; "e;Topological Concepts in Graph Theory,"e; "e;Graphical Reconstruction,"e; and other introductory talks. A series of invited lectures follows, featuring presentations by other authorities on the faculty of University College as well as visiting scholars. These include "e;Extremal Problems in Graph Theory"e; by Paul Erdös, "e;Complete Bipartite Graphs: Decomposition into Planar Subgraphs,"e; by Lowell W. Beineke, "e;Graphs and Composite Games,"e; by Cedric A. B. Smith, and several others.
Presented in 1962–63 by experts at University College, London, these lectures offer a variety of perspectives on graph theory. Although the opening chapters form a coherent body of graph theoretic concepts, this volume is not a text on the subject but rather an introduction to the extensive literature of graph theory. The seminar's topics are geared toward advanced undergraduate students of mathematics.
Lectures by this volume's editor, Frank Harary, include "Some Theorems and Concepts of Graph Theory," "Topological Concepts in Graph Theory," "Graphical Reconstruction," and other introductory talks. A series of invited lectures follows, featuring presentations by other authorities on the faculty of University College as well as visiting scholars. These include "Extremal Problems in Graph Theory" by Paul Erdös, "Complete Bipartite Graphs: Decomposition into Planar Subgraphs," by Lowell W. Beineke, "Graphs and Composite Games," by Cedric A. B. Smith, and several others.
Preface
 
Lectures by Frank Harary
  1. Some Theorems and Concepts of Graph Theory
  2. Topological Concepts in Graph Theory
  3. Graphical Reconstruction
  4. A Proof of Polya's Enumeration Theorem
  5. Applications of Polya's Theorem to Permutation Groups
  6. Enumeration of Graphs and Digraphs
 
Invited Lectures
  7. Complete Bipartite Graphs: Decomposition into Planar Subgraphs.   Lowell W. Beineke
  8. Extremal Problems in Graph Theory.   Paul Erdos
  10. The Minimal Regular Graph Containing a a Given Graph.   Paul Erdos   
  11. Various Proofs of Cayley's Formula for Counting Trees.   J. W. Moon
  12. On Well-Quasi-ordering Trees.   C. St. J. A. Nash-Williams
  13. Universal Graphs.   Richard Rado
  14. Graphs and Composite Games.   Cedric A. B. Smith
 
Index

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