By Frank Harary

Awarded in 1962–63 by way of specialists at college university, London, those lectures supply quite a few views on graph concept. even supposing the hole chapters shape a coherent physique of graph theoretic suggestions, this quantity isn't really a textual content at the topic yet relatively an advent to the broad literature of graph conception. The seminar's subject matters are aimed at complicated undergraduate scholars of mathematics.

Lectures by way of this volume's editor, Frank Harary, comprise "Some Theorems and ideas of Graph Theory," "Topological strategies in Graph Theory," "Graphical Reconstruction," and different introductory talks. a sequence of invited lectures follows, that includes shows by means of different specialists at the school of college collage in addition to traveling students. those comprise "Extremal difficulties in Graph idea" through Paul Erdös, "Complete Bipartite Graphs: Decomposition into Planar Subgraphs," via Lowell W. Beineke, "Graphs and Composite Games," by means of Cedric A. B. Smith, and a number of other others.

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Well not quite – as these events proved to be stepping stones along the path to chromatic graph theory. Is it five? Is it four? Heawood rephrased the query. Sending us back to before, But moving forward a theory. At the beginning of the 20th century, the Four Color Problem was still unsolved. Although possibly seen initially as a rather frivolous problem, not worthy of a serious mathematician’s attention, it would become clear that the Four Color Problem was a very challenging mathematics problem.