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On an extremal problem concerning the interval number of a graph

โœ Scribed by Thomas Andreae


Book ID
118389367
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
504 KB
Volume
14
Category
Article
ISSN
0166-218X

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๐Ÿ“œ SIMILAR VOLUMES


Extremal values of the interval number o
โœ Jerrold R. Griggs ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 315 KB

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

An extremal problem in graph theory
โœ A. Ramachandra Rao ๐Ÿ“‚ Article ๐Ÿ“… 1968 ๐Ÿ› The Hebrew University Magnes Press ๐ŸŒ English โš– 230 KB
On the Interval Number of a Triangulated
โœ Thomas Andreae ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 414 KB ๐Ÿ‘ 2 views

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