The edge-isoperimetric problem on the 600-vertex regular solid
| Autor: | L.H. Harper, D. Dreier |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Numerical Analysis
Algebra and Number Theory Regular solids Polytope Coxeter groups Isoperimetric dimension Vertex (geometry) Platonic solid Combinatorics symbols.namesake Cross-polytope Convex polytope symbols Mathematics::Metric Geometry Discrete Mathematics and Combinatorics Edge-isoperimetric problem Geometry and Topology Isoperimetric inequality Regular polytope Mathematics |
| Zdroj: | Linear Algebra and its Applications. 368:209-228 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/s0024-3795(02)00672-9 |
| Popis: | Between 1963 and 1979 the edge-isoperimetric problem was solved on the graphs of all regular convex polytopes except the four-dimensional one with 600 vertices. We present a solution of that last remaining problem, based on a combination of theory and computer calculation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect