On graphs with unique subgraphs
β Scribed by Madhukar G Deshpande
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 187 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let ${\cal C}$ be a family of __n__ compact connected sets in the plane, whose intersection graph $G({\cal C})$ has no complete bipartite subgraph with __k__ vertices in each of its classes. Then $G({\cal C})$ has at most __n__ times a polylogarithmic number of edges, where the exponent
## Abstract Let __G__ be a graph on __n__ vertices in which every induced subgraph on ${s}={\log}^{3}\, {n}$ vertices has an independent set of size at least ${t}={\log}\, {n}$. What is the largest ${q}={q}{(n)}$ so that every such __G__ must contain an independent set of size at least __q__? This
Let %(n, rn) denote the class of simple graphs on n vertices and rn edges and let G E %(n, rn). There are many results in graph theory giving conditions under which G contains certain types of subgraphs, such as cycles of given lengths, complete graphs, etc. For example, Turan's theorem gives a suff