## Abstract In planar location problems with barriers one considers regions which are forbidden for the siting of new facilities as well as for trespassing. These problems are important since they model various actual applications. The resulting mathematical models have a nonconvex objective functi
Star forests, dominating sets and Ramsey-type problems
β Scribed by Sheila Ferneyhough; Ruth Haas; Denis Hanson; Gary MacGillivray
- Book ID
- 108315624
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 89 KB
- Volume
- 245
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract For a graph __G__ whose number of edges is divisible by __k__, let __R__(__G,Z__~k~) denote the minimum integer __r__ such that for every function __f__: __E__(__K__~r~) β¦ __Z__~k~ there is a copy __G__^1^ of __G__ in __K__~r~ so that Ξ£eβ__E__(__G__^1^) __f(e)__ = 0 (in __Z__~k~). We pr
## Abstract For each __n__ and __k__, we examine bounds on the largest number __m__ so that for any __k__βcoloring of the edges of __K~n~__ there exists a copy of __K~m~__ whose edges receive at most __kβ__1 colors. We show that for $k \ge \sqrt{n}\;+\,\Omega(n^{1/3})$, the largest value of __m__ i
Let G = (V, E ) be a graph on n vertices with average degree t 2 1 in which for every vertex u E V the induced subgraph on the set of all neighbors of u is r-colorable. We show that the independence number of G is at least log t , for some absolute positive constant c. This strengthens a well-known