𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lower bounds for constant degree independent sets

✍ Scribed by Michael O. Albertson; Debra L. Boutin


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
340 KB
Volume
127
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


Let c(* denote the maximum number of independent vertices all of which have the same degree. We provide lower bounds for G(* for graphs that are planar, maximal planar, of bounded degree, or trees.


πŸ“œ SIMILAR VOLUMES


Some lower bounds for constant weight co
✍ Iiro Honkala; Heikki HΓ€mΓ€lΓ€inen; Markku Kaikkonen πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 178 KB
Lower bounds for Seshadri constants
✍ Thomas Eckl πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 158 KB

## Abstract One of Demailly's characterization of Seshadri constants on ample line bundles works with Lelong numbers of certain positive singular hermitian metrics. In this note this is translated into algebraic terms by using sections of multiples of the line bundle. The resulting formula for Sesh

Lower bounds for contraction constants o
✍ Eleonora Ciriza; Marcelo Llarull πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 61 KB

This paper studies contraction constants of non-zero degree mappings from compact spin Riemannian manifolds onto the standard Riemannian sphere. Assuming uniform lower bound for the scalar curvature, we find a sharp lower bound for the dilation constants in terms of the dimension of the sphere. In t

Generalized degree conditions for graphs
✍ Ralph Faudree; Ronald J. Gould; Linda Lesniak; Terri Lindquester πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 511 KB

We consider a generalized degree condition based on the cardinality of the neighborhood union of arbitrary sets of r vertices. We show that a Dirac-type bound on this degree in conjunction with a bound on the independence number of a graph is sufficient to imply certain hamiltonian properties in gra