Concepedia

Louis J. Billera

LJ

48

Publications

3K

Citations

32

H-Index

1970

Active since

Affiliations

Cornell University(Current)

Louis J. Billera is an author at Cornell University specializing in discrete geometry, discrete mathematics, and computational geometry.

Top concepts

Discrete GeometryDiscrete MathematicsEngineeringComputational GeometryGamesBusinessGame TheoryMechanism DesignMathematical ProgrammingGeometry

Publications per year

1970–2012

48

Publications

48

Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra

J. Scott Provan, Louis J. Billera · Mathematics of Operations Research · 1980 · 254 citations

Discrete Geometry, Geometric Algorithm, Geometry +12

A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes

Louis J. Billera, Carl W. Lee · Journal of Combinatorial Theory Series A · 1981 · 209 citations

Mathematical Programming, Simplicial Convex Polytopes, Discrete Geometry +5

Allocation of Shared Costs: A Set of Axioms Yielding A Unique Procedure

Louis J. Billera, David C. Heath · Mathematics of Operations Research · 1982 · 194 citations

Mathematical Programming, Engineering, Price Of Anarchy +23

Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets

Margaret M. Bayer, Louis J. Billera · Inventiones mathematicae · 1985 · 192 citations

Discrete Geometry, Dehn-sommerville Relations, Extremal Set Theory +3

Constructions and complexity of secondary polytopes

Louis J. Billera, P. Filliman, Bernd Sturmfels · Advances in Mathematics · 1990 · 180 citations

Discrete Geometry, Engineering, Secondary Polytopes +6

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