๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the independence number of a graph in terms of order and size

โœ Scribed by J. Harant; I. Schiermeyer


Book ID
108315560
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
97 KB
Volume
232
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


A lower bound on the independence number
โœ Jochen Harant ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 210 KB

A new lower bound on the independence number of a graph is established and an accompanying efficient algorithm constructing an independent vertex set the cardinality of which is at least this lower bound is given. (~

On the bipartite independence number of
โœ Odile Favaron; Pedro Mago; Oscar Ordaz ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 603 KB

Venezuela Ap. 47567, Caracas Favaron, O., P. Mago and 0. Ordaz, On the bipartite independence number of a balanced bipartite graph, Discrete Mathematics 121 (1993) 55-63. The bipartite independence number GI aIp of a bipartite graph G is the maximum order of a balanced independent set of G. Let 6 b

Sharp bounds on the order, size, and sta
โœ Pierre Hansen; Maolin Zheng ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 276 KB

## Abstract We consider graphs __G = (V,E)__ with order ฯ = |__V__|, size __e__ = |__E__|, and stability number ฮฒ~0~. We collect or determine upper and lower bounds on each of these parameters expressed as functions of the two others. We prove that all these bounds are sharp. ยฉ __1993 by John Wiley

On the Density of Subgraphs in a Graph w
โœ Pavel Valtr ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

Let \_(n, m, k) be the largest number \_ # [0, 1] such that any graph on n vertices with independence number at most m has a subgraph on k vertices with at lest \_ } ( k 2 ) edges. Up to a constant multiplicative factor, we determine \_(n, m, k) for all n, m, k. For log n m=k n, our result gives \_(