Phased graphs and graph energies
β Scribed by Douglas J. Klein; Vladimir R. Rosenfeld
- Book ID
- 106419964
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 137 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0259-9791
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given a graph G, its energy E G is defined as the sum of the absolute values of the eigenvalues of G. The concept of the energy of a graph was introduced in the subject of chemistry by I. Gutman, due to its relevance to the total Ο-electron energy of certain molecules. In this paper, we show that if
We model physical systems with ``hard constraints'' by the space Hom(G, H) of homomorphisms from a locally finite graph G to a fixed finite constraint graph H. For any assignment \* of positive real activities to the nodes of H, there is at least one Gibbs measure on Hom(G, H); when G is infinite, t