Localization on Quantum Graphs with Random Vertex Couplings
✍ Scribed by Frédéric Klopp; Konstantin Pankrashkin
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 517 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0022-4715
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The following result is proved: Consider a random graph on n vertices where each ?'zitex chooses randomIy a set of c neigh~rs. If c 26, then the graph has a l-factor, with probability + 1 as tt ---, ~0.
Given a graph G and target values r(u; v) prescribed for each pair of vertices u and v, we consider the problem of augmenting G by a smallest set F of new edges such that the resulting graph G+F has at least r(u; v) internally disjoint paths between each pair of vertices u and v. We show that the pr
## Abstract Let __G__ be connected simple graph with diameter __d__(__G__). __G__ is said __v__^+^‐critical if __d__(__G__−__v__) is greater than __d__(__G__) for every vertex __v__ of __G__. Let D′ = max {__d__(__G__−__v__) : __v__ ∈ __V__(__G__)}. Boals et al. [Congressus Numerantium 72 (1990), 1