Independence numbers of product graphs
β Scribed by P.K. Jha; G. Slutzki
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 301 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a k-connected graph of order n, := (G) the independence number of G, and c(G) the circumference of G. ChvΓ‘tal and Erdo Λs proved that if β€ k then G is hamiltonian. For β₯ k β₯ 2, Fouquet and Jolivet in 1978 made the conjecture that c(G) β₯ k(n+ -k) / . Fournier proved that the conjecture is tr
## 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 G be a connected graph with p vertices and n a positive integer with 1 dn <(p/2) -1. G is said to be O-extendable if G has a perfect matching. G is said to be n-extendable if G has a matching of size n and every matching of size n in G extends to (i.e. is a subset of) a perfect matching. It is s