On the least eigenvalue of cacti
✍ Scribed by Miroslav Petrović; Tatjana Aleksić; Višnja Simić
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 274 KB
- Volume
- 435
- Category
- Article
- ISSN
- 0024-3795
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✦ Synopsis
Among the cacti with n vertices and k cycles we determine a unique cactus whose least eigenvalue is minimal. We also explore cacti with n vertices and among them, we find a unique cactus whose least eigenvalue is minimal.
📜 SIMILAR VOLUMES
Let T c n be the set of the complements of trees of order n. In this paper, we characterize the unique graph whose least eigenvalue attains the minimum among all graphs in T c n .
For a digraph G, the kth power G k can be defined in a similar way as in the case of undirected graphs. If G is finite and strongly connected, en(G) := min{k : G k is Hamiltonian} is called the Hamiltonicity exponent of G; analogously, further exponents--for instance, the Hamiltonian connectedness e