The ‘Semi-Regular Property’ of Extremal Tree Structures

Document Type

Presentation

Presentation Date

4-4-2009

Abstract or Description

We consider various graphical indices arisen from phylogenetic tree reconstruction, bio-chemistry and pure graph theory. We characterize extremal tree structures with respect to these indices and define a rather general ‘semi-regular’ property for such structures. The question for the possible functional relation between the discussed indices will also be explored, which leads back to tree bisection and reconstruction in the study of phylogeny.

Sponsorship/Conference/Institution

Southeastern-Atlantic Sectional Meeting of the Society for Industrial and Applied Mathematics (SIAM-SEAS)

Location

Columbia, SC

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