The Number of Nodal Domains on Quantum Graphs as a Stability Index of Graph Partitions
β Scribed by Ram Band; Gregory Berkolaiko; Hillel Raz; Uzy Smilansky
- Book ID
- 113022938
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 475 KB
- Volume
- 311
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a line graph. Orlin determined the clique covering and clique partition numbers cc(G) and cp(G). We obtain a constructive proof of Orlin's result and in doing so we are able to completely enumerate the number of distinct minimal clique covers and partitions of G, in terms of easily calculab
The Hosoya index and the Merrifield-Simmons index of a graph are defined as the total number of the matchings (including the empty edge set) and the total number of the independent vertex sets (including the empty vertex set) of the graph, respectively. Let W n,k be the set of connected graphs with