Beschreibung:
Researchers and graduate students with an interest in graph connectivity and colorings will find this book useful as it builds upon fundamental definitions towards modern innovations, strategies, and techniques. The detailed presentation lends to use as an introduction to proper connection of graphs for new and advanced researchers, a solid book for a graduate level topics course, or as a reference for those interested in expanding and further developing research in the area.
1. Introduction.- 2.General Results.- 3. Connectivity Conditions.- 4. Degree Conditions.- 5. Domination Conditions.- 6. Operations on Graphs.- 7..Random Graphs.- 8. Proper k-Connection and Strong Proper Connection.- 9. Proper Vertex Connection and Total Proper Connection.- 10. Directed Graphs.- 11. Other Generalizations.- 12. Computational Complexity.- Bibliography.- Index.