9781860944215
Scale-Isometric Polytopal Graphs In Hypercubes And Cubic Lattices: Polytopes In Hypercubes & Zn - Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin
Imperial College Press (2004)
In Collection
#7887

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Embeddings (Mathematics), Graph theory, Metric spaces, Polytopes

This monograph identifies polytopes that are "combinatorially R1-embeddable", within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistry (fullerenes, polycycles, etc.). The embeddability, if any, provides applications to chemical graphs and, in the first case, it gives new combinatorial perspective to "R2-prominent" affine polytopal objects.

The lists of polytopal graphs in the book come from broad areas of geometry, crystallography and graph theory. The book concentrates on such concise and, as much as possible, independent definitions. The scale-isometric embeddability — the main unifying question, to which those lists are subjected — is presented with the minimum of technicalities.

Product Details
LoC Classification QA166 .D489 2004
Dewey 511.5
Format Hardcover
Cover Price 59,00 €
No. of Pages 188
Height x Width 240 mm