Author:
Bondy J. A.,Hopkins Glenn,Staton William
Abstract
AbstractIf G is a connected cubic graph with ρ vertices, ρ > 4, then G has a vertex-induced forest containing at least (5ρ - 2)/8 vertices. In case G is triangle-free, the lower bound is improved to (2ρ — l)/3. Examples are given to show that no such lower bound is possible for vertex-induced trees.
Publisher
Canadian Mathematical Society
Cited by
18 articles.
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