Embeddings of chemical graphs in hypercubes
โ Scribed by M. Deza; M. I. Shtogrin
- Book ID
- 110613842
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2000
- Tongue
- English
- Weight
- 1024 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An embedding of a graph \(G\) into a graph \(H\) is an injective mapping \(f\) from the vertices of \(G\) into the vertices of \(H\) together with a mapping \(P_{f}\) of edges of \(G\) into paths in \(H\). The dilation of the embedding is the maximum taken over all the lengths of the paths \(P_{f}(x
The purpose of this paper is to demonstrate the use of matrices for the representation of graph embedding in a hypercube. We denote the image of an embedding (which is a subgraph of the hypercube) as a matrix. With this representation, we are able to simplify, unify, generalize, or improve existing
We consider the problem of embedding graphs into hypercubes with minimal congestion. Kim and Lai showed that for a given N-vertex graph G and a hypercube it is NP-complete to determine whether G is embeddable in the hypercube with unit congestion, but G can be embedded with unit congestion in a hype