Conditional graph connectivity relative to hereditary properties
β Scribed by Ortrud R. Oellermann
- Book ID
- 102961609
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 553 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Restricted edge connectivity is a more refined network reliability index than edge connectivity. For a connected graph __G__ = (__V__, __E__), an edge set __S__ β __E__ is a restricted edge cut if __G__ β __S__ is disconnected and every component of __G__ β __S__ has at least two vertic
## Abstract Restricted edge connectivity is a more refined network reliability index than edge connectivity. A restricted edge cut __F__ of a connected graph __G__ is an edge cut such that __G__β__F__ has no isolated vertex. The restricted edge connectivity Ξ»β² is the minimum cardinality over all re
## Abstract The restrictedβedgeβconnectivity of a graph __G__, denoted by Ξ»β²(__G__), is defined as the minimum cardinality over all edgeβcuts __S__ of __G__, where __G__β__S__ contains no isolated vertices. The graph __G__ is called Ξ»β²βoptimal, if Ξ»β²(__G__)β=βΞΎ(__G__), where ΞΎ(__G__) is the minimum
We prove the following conjecture of Broersma and Veldman: A connected, locally k-connected K,,-free graph is k-hamiltonian if and only if it is (k + 2)-connected ( k L 1). We use [ 11 for basic terminology and notation, and consider simple graphs only. Let G be a graph. By V(G) and E(G) we denote,