Local expansions on graphs and order of a point
β Scribed by J. J. Charatonik; S. Miklos
- Publisher
- Akadmiai Kiad
- Year
- 1986
- Tongue
- English
- Weight
- 688 KB
- Volume
- 47
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Recently, R6dl and Rucifiski [5,6] proved the following threshold result about Ramsey properties of random graphs. Let K(n, p) be the binomial random graph obtained from the complete graph K(n) by independent deletion of each edge with probability 1 -p. We write F ~ (G)r if for every r-coloring of t
## Abstract A partially ordered set __P__ is called a __kβsphere order__ if one can assign to each element a β __P__ a ball __B__~__a__~ in __R^k^__ so that __a__ < __b__ iff __B__~__a__~ β __B__~__b__~. To a graph __G__ = (__V,E__) associate a poset __P__(__G__) whose elements are the vertices and
The local independence number i (G) of a graph G at a distance i is the maximum number of independent vertices at distance i from any vertex. We study the impact of restricting i (G) on the (global) independence number (G). Among others, we show that in graphs with bounded diameter, (G) is bounded i
For an integer i, a graph is called an L,-graph if, for each triple of vertices u, u , w with and Khachatrian proved that connected Lo-graphs of order a t least 3 are hamiltonian, thus improving Ore's Theorem. All K1,3-free graphs are L1-graphs, whence recognizing hamiltonian L1-graphs is an NP-com