Graph Theory 1736-1936

@inproceedings{Biggs1976GraphT1,
  title={Graph Theory 1736-1936},
  author={Norman L. Biggs and E. Keith Lloyd and Robin J. Wilson},
  year={1976}
}
1. Oaths 2. Circuits 3. Trees 4. Chemical graphs 5. Euler's polyhedral formula 6. The four-colour problem - early history 7. Colouring maps on surfaces 8. Ideas from algebra and topology 9. The four-colour problem - to 1936 10. The factorization of graphs Appendix 1: Graph theory since 1936 Appendix 2: Bibliographical notes Appendix 3: Bibliography: 1736-1936 
Hamiltonian graphs from Kirkman to König
  • H. Gropp
  • Mathematics
    Electron. Notes Discret. Math.
  • 2006
On some graph coloring problems
A (3, 4)-biregular bigraph G is a bipartite graph where all vertices in one part have degree 3 and all vertices in the other part have degree 4. A path factor of G is a spanning subgraph whose
Homology Groups of Graphs
Ancient Greek mathematicians tried to establish their theory of area and volume by means of “geometric algebra”. Namely, in order to compare the area (or volume) of two figures, they made up an
Hamilton cycle heuristics in hard graphs
In this thesis, we use computer methods to investigate Hamilton cycles and paths in several families of graphs where general results are incomplete, including Kneser graphs, cubic Cayley graphs and
Planar graphs : a historical perspective.
PLANAR GRAPHS: A HISTORICAL PERSPECTIVE Rick Alan Hudson July 20, 2004 The field of graph theory has been indubitably influenced by the study of planar graphs. This thesis, consisting of five
Degree-limited defective three colorings of planar graphs containing no 4-cycles or 5-cycles
This dissertation explores and advances results for several variants on a longopen problem in graph coloring. Steinberg’s conjecture states that any planar graph containing no 4-cycles or 5-cycles is
Matchings in regular graphs
...
...