Abstract
The graphic parameters play important roles in the study of factors, they are used frequently as sufficient conditions for the existence of factors. Since verifying graphic parameter conditions are often easier than that of characterizations, and as well the parameter conditions reflect the structures and properties of graphs from different perspectives, it is quite common in graph theory to investigate the links among the parameters. In this chapter, we investigate the relationships between graph factors and some popular parameters, such as toughness, binding number, connectivity and minimum degree, etc.
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© 2009 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg
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Yu, Q.R., Liu, G. (2009). Factors and Graphic Parameters. In: Graph Factors and Matching Extensions. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93952-8_3
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DOI: https://doi.org/10.1007/978-3-540-93952-8_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-93951-1
Online ISBN: 978-3-540-93952-8