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Adjacency of Optimal Basic Feasible Solutions in Linear Programming

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#optimization #linear-programming #polyhedra #simplex-method
62
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In a semi-regular polyhedron, why does a polygon with odd sides (e.g. a triangle) have to be surrounded by polygons of the same type (e.g. squares)?

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#polyhedra #combinatorial-designs
94
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How to prove point is vertex not interior point

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#linear-algebra #linear-programming #polyhedra
217
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How to count polyhedral rotations?

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#geometry #symmetry #polyhedra #graph-isomorphism #coxeter-groups
24
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Polyhedrons and its types

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#geometry #polyhedra
37
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Characterization of maps taking polytopes to polytopes

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#linear-algebra #polyhedra
218
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How many faces can a polyhedron with $n$ vertices have?

Published on
#asymptotics #polyhedra
30
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Negating inequalities of linear expressions of integers while only using "or equal" relations.

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#linear-algebra #inequality #integers #polyhedra
239
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What is the rigorous definition of a polyhedron and polytopes more generally?

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#reference-request #euclidean-geometry #definition #polyhedra
106
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Is a face of a sum of polyhedra a sum of their faces?

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#geometry #polyhedra
60
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Making the decomposition of a polyhedron unique

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#geometry #linear-programming #polyhedra #polytopes
61
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Euler characteristic of compact polyhedra. Is piecewise-linear map between compact polyhedra with constant fiber a covering?

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#algebraic-topology #covering-spaces #polyhedra
95
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Relationship between vertices in standard form and basic feasible solutions in canonical form LP

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#linear-algebra #inequality #linear-programming #polyhedra #simplex-method
1.6k
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Dodecahedron, angle between edge and face.

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#geometry #euclidean-geometry #3d #angle #polyhedra
59
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Is there a unique insphere for an irregular triangular bipyramid?

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#geometry #polyhedra

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