A lower bound on the eccentric connectivity index of a graph
β Scribed by M.J. Morgan; S. Mukwembi; H.C. Swart
- Book ID
- 113564689
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 257 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The connectivity of a graph G and the corank of a matroid M are denoted by K(G) and p, respectively. X is shown that if a graph G is the base graph of a simple mat&d M, then K(G) L 2p and the lower bound of 2p izA best possible.
of length m in G and d, denotes the degre,e of the vertex i. We find upper bounds for "z(G) using the eigenvalues of the Laplaci~.m matrix of an associated weighted graph.
A new lower bound on the independence number of a graph is established and an accompanying efficient algorithm constructing an independent vertex set the cardinality of which is at least this lower bound is given. (~