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Presentation
Counting Subtrees: Enumerative and Extremal Questions
CombinaTexas Conference (2011)
  • Hua Wang, Georgia Southern University
Abstract
The subtrees of a tree have been studied from various points of view. In particular, the extremal trees that maximize the number of subtrees were identified for different categories of trees such as binary trees and trees with a given maximum degree. We extend these results to trees with given degree sequences. Furthermore, an ordering of the extremal trees with different degree sequence is provided. This ordering provides a relatively easy way to identify extremal trees. Some of the previously know results follow as corollaries.
Keywords
  • Counting,
  • Subtrees,
  • Enumerative and extremal questions
Disciplines
Publication Date
April 16, 2011
Location
Huntsville, TX
Citation Information
Hua Wang. "Counting Subtrees: Enumerative and Extremal Questions" CombinaTexas Conference (2011)
Available at: http://works.bepress.com/hua_wang/33/