Girth and Independence Ratio
Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 179-186

Voir la notice de l'article provenant de la source Cambridge University Press

Lower bounds are given for the independence ratio in graphs satisfying certain girth and maximum degree requirements. In particular, the independence ratio of a graph with maximum degree Δ and girth at least six is at least (2Δ − 1)/(Δ2 + 2Δ − 1). Sharper bounds are given for cubic graphs.
DOI : 10.4153/CMB-1982-024-9
Mots-clés : 05, Girth, independent sets, cubic
Hopkins, Glenn; Staton, William. Girth and Independence Ratio. Canadian mathematical bulletin, Tome 25 (1982) no. 2, pp. 179-186. doi: 10.4153/CMB-1982-024-9
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