A seminar on graph theory
A Seminar on Graph Theory by Frank HararyPresented 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 seminars topics are geared toward advanced undergraduate students of mathematics.
Lectures by this volumes 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.
DUSS Seminar- From Graph Theory To Complex Network Theory
Math 780: Seminar in Graph Theory
Had the conjecture been true, it would have implied the Four Color Theorem. However, it was disproved by Tutte in Later on, other counterexamples with different structural properties were found. On the other hand, for several subclasses of cubic planar graphs Hamiltonicity was proven. In general, the problem of founding a Hamilton cycle in a cubic planar graph turned out to be NP-complete. All known counterexamples to Tait's conjecture contain i odd cycles and ii faces of large size. That's why Barnette formulated in the 60s two conjectures in the form of sufficient conditions for the Hamiltonicity of cubic planar graphs: He conjectured that bipartite cubic planar graphs, as well as cubic planar graphs with faces of size at most 6, are Hamiltonian.
The remaining eight chapters report lectures presented by various seminar Extremal Problems in Graph Theory, Applications of Probabilistic Methods to.
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