On an extremal problem concerning the interval number of a graph
โ Scribed by Thomas Andreae
- Book ID
- 118389367
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 504 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
I i5 showll that the interval number of a gralh on n vertices is a~ inosl [I;(n ~ Ij], md this bound is best possible. This means that we can represent any l~raph ,,n n verl~cc~ as an intersection graph in which the sets ~ssigued Io the verUccs each ~or, sist of tlxe umorl ~a at m~st [~(n + I)] fini
The interval number of a simple undirected graph G, denoted i(G), is the least nonnegative integer r for which we can assign to each vertex in G a collection of at most r intervals on the real line such that two distinct vertices u and w of G are adjacent if and only if some interval for u intersect