Mathematics – Combinatorics
Scientific paper
2010-11-16
Mathematics
Combinatorics
Full article, 21 pages, 8 figures. Minor expository updates
Scientific paper
Polytopes from subgraph statistics are important in applications and conjectures and theorems in extremal graph theory can be stated as properties of them. We have studied them with a view towards applications by inscribing large explicit polytopes and semi-algebraic sets when the facet descriptions are intractable. The semi-algebraic sets called curvy zonotopes are introduced and studied using graph limits. From both volume calculations and algebraic descriptions we find several interesting conjectures.
Engstrom Alexander
Noren Patrik
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